Tenderini, Riccardo; Mueller, Nicholas; Deparis, Simone Space-time reduced basis methods for parametrized unsteady Stokes equations. (English) Zbl 07816741 SIAM J. Sci. Comput. 46, No. 1, B1-B32 (2024). MSC: 35Q92 35Q35 76D07 76Z05 65M60 65M06 65L12 65N30 65M12 65M22 65K10 92C35 92C50 PDFBibTeX XMLCite \textit{R. Tenderini} et al., SIAM J. Sci. Comput. 46, No. 1, B1--B32 (2024; Zbl 07816741) Full Text: DOI arXiv
Yang, Lei; Liu, Yuan; Jiang, Yan; Zhang, Mengping Discontinuous Galerkin methods for network patterning phase-field models. (English) Zbl 07788949 J. Sci. Comput. 98, No. 1, Paper No. 27, 27 p. (2024). MSC: 65M60 65M06 65N30 92C15 35Q92 PDFBibTeX XMLCite \textit{L. Yang} et al., J. Sci. Comput. 98, No. 1, Paper No. 27, 27 p. (2024; Zbl 07788949) Full Text: DOI
Benedusi, Pietro; Ellingsrud, Ada J.; Herlyng, Halvor; Rognes, Marie E. Scalable approximation and solvers for ionic electrodiffusion in cellular geometries. arXiv:2403.04491 Preprint, arXiv:2403.04491 [math.NA] (2024). MSC: 65F10 65N30 65N55 68U20 68W10 92-08 92C20 BibTeX Cite \textit{P. Benedusi} et al., ``Scalable approximation and solvers for ionic electrodiffusion in cellular geometries'', Preprint, arXiv:2403.04491 [math.NA] (2024) Full Text: arXiv OA License
Bui, Huu Phuoc; Duprez, Michel; Rohan, Pierre-Yves; Lejeune, Arnaud; Bordas, Stephane P. A.; Bucki, Marek; Chouly, Franz Enhancing Biomechanical Simulations Based on A Posteriori Error Estimates: The Potential of Dual Weighted Residual-Driven Adaptive Mesh Refinement. arXiv:2403.00401 Preprint, arXiv:2403.00401 [math.NA] (2024). MSC: 65N30 92C10 74B20 BibTeX Cite \textit{H. P. Bui} et al., ``Enhancing Biomechanical Simulations Based on A Posteriori Error Estimates: The Potential of Dual Weighted Residual-Driven Adaptive Mesh Refinement'', Preprint, arXiv:2403.00401 [math.NA] (2024) Full Text: arXiv OA License
Lagunero, Reymart Salcedo; Fellner, Klemens; Apel, Thomas; Kempf, Volker; Zilk, Philipp Lipolysis on Lipid Droplets: Mathematical Modelling and Numerical Discretisation. arXiv:2401.17935 Preprint, arXiv:2401.17935 [math.AP] (2024). MSC: 35E20 35K57 65N30 92C40 92C45 BibTeX Cite \textit{R. S. Lagunero} et al., ``Lipolysis on Lipid Droplets: Mathematical Modelling and Numerical Discretisation'', Preprint, arXiv:2401.17935 [math.AP] (2024) Full Text: arXiv OA License
Fakhri, Somayeh; Momeni-Masuleh, Sayed Hodjatollah An implicit discontinuous Galerkin scheme for solving the cardiovascular drug-eluting stents’ model. (English) Zbl 07788910 Taiwanese J. Math. 27, No. 5, 863-888 (2023). Reviewer: Petr Sváček (Praha) MSC: 65M60 65M06 65N30 65M12 92C35 92C45 76Z05 35K20 35K57 35A01 35A02 35Q92 PDFBibTeX XMLCite \textit{S. Fakhri} and \textit{S. H. Momeni-Masuleh}, Taiwanese J. Math. 27, No. 5, 863--888 (2023; Zbl 07788910) Full Text: DOI
Peng, Qiyao; Hille, Sander C. Quality of approximating a mass-emitting object by a point source in a diffusion model. (English) Zbl 07783956 Comput. Math. Appl. 151, 491-507 (2023). MSC: 92C37 35K57 92C17 65N30 PDFBibTeX XMLCite \textit{Q. Peng} and \textit{S. C. Hille}, Comput. Math. Appl. 151, 491--507 (2023; Zbl 07783956) Full Text: DOI arXiv
Chehade, Zeina; Coudière, Yves The two-point Finite volume scheme for the microscopic bidomain model of electrocardiology. (English) Zbl 07781704 Franck, Emmanuel (ed.) et al., Finite volumes for complex applications X – Volume 1. Elliptic and parabolic problems. FVCA 10, Strasbourg, France, October 30 – November 3, 2023. Invited contributions. Cham: Springer. Springer Proc. Math. Stat. 432, 235-243 (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65N08 92C37 92C17 92C35 35J05 65N12 65N15 35A24 65N30 65N38 35Q92 PDFBibTeX XMLCite \textit{Z. Chehade} and \textit{Y. Coudière}, Springer Proc. Math. Stat. 432, 235--243 (2023; Zbl 07781704) Full Text: DOI
Peszynska, Malgorzata; Fara, Tyler; Phelps, Madison; Zhang, Nachuan Mixed dimensional modeling with overlapping continua on Cartesian grids for complex applications. (English) Zbl 07781694 Franck, Emmanuel (ed.) et al., Finite volumes for complex applications X – Volume 1. Elliptic and parabolic problems. FVCA 10, Strasbourg, France, October 30 – November 3, 2023. Invited contributions. Cham: Springer. Springer Proc. Math. Stat. 432, 129-145 (2023). MSC: 65M60 65M06 65N30 76S05 76Z05 92C35 92C37 92C80 90B20 35K59 PDFBibTeX XMLCite \textit{M. Peszynska} et al., Springer Proc. Math. Stat. 432, 129--145 (2023; Zbl 07781694) Full Text: DOI
Dor, Dieunel On the hyperbolic relaxation of the Cahn-Hilliard equation with a mass source. (English) Zbl 1528.35211 Asymptotic Anal. 135, No. 1-2, 25-53 (2023). MSC: 35Q92 92C37 35B41 35B65 35A01 35A02 35L20 65M60 65M06 65N30 92-08 PDFBibTeX XMLCite \textit{D. Dor}, Asymptotic Anal. 135, No. 1--2, 25--53 (2023; Zbl 1528.35211) Full Text: DOI
Huynh, Ngoc Mai Monica; Chegini, Fatemeh; Pavarino, Luca Franco; Weiser, Martin; Scacchi, Simone Convergence analysis of BDDC preconditioners for composite DG discretizations of the cardiac cell-by-cell model. (English) Zbl 1527.65138 SIAM J. Sci. Comput. 45, No. 6, A2836-A2857 (2023). MSC: 65N55 65M55 65M60 65M06 65N30 65M12 65F08 65F10 92C37 92C30 92-08 PDFBibTeX XMLCite \textit{N. M. M. Huynh} et al., SIAM J. Sci. Comput. 45, No. 6, A2836--A2857 (2023; Zbl 1527.65138) Full Text: DOI arXiv
Yang, Zheyi; Mekkaoui, Imen; Hesthaven, Jan; Li, Jing-Rebecca Asymptotic models of the diffusion MRI signal accounting for geometrical deformations. (English) Zbl 1528.35216 MathS In Action 12, 65-85 (2023). MSC: 35Q92 92C55 92C20 35Q60 78A70 65M60 65M06 65N30 92-08 PDFBibTeX XMLCite \textit{Z. Yang} et al., MathS In Action 12, 65--85 (2023; Zbl 1528.35216) Full Text: DOI
Jiang, Xue; Lyu, Maohui; Yin, Tao; Zheng, Weiying A PML method for signal-propagation problems in axon. (English) Zbl 1527.35403 SIAM J. Appl. Math. 83, No. 5, 1785-1805 (2023). MSC: 35Q61 35A15 65N12 92B05 92B20 92C20 35A01 35A02 65N30 92-08 PDFBibTeX XMLCite \textit{X. Jiang} et al., SIAM J. Appl. Math. 83, No. 5, 1785--1805 (2023; Zbl 1527.35403) Full Text: DOI arXiv
Acosta-Soba, Daniel; Guillén-González, Francisco; Rodríguez-Galván, J. Rafael An unconditionally energy stable and positive upwind DG scheme for the Keller-Segel model. (English) Zbl 1522.65165 J. Sci. Comput. 97, No. 1, Paper No. 18, 27 p. (2023). MSC: 65M60 65M06 65N30 35B09 35B44 35R09 92C17 92C15 35Q92 92-08 PDFBibTeX XMLCite \textit{D. Acosta-Soba} et al., J. Sci. Comput. 97, No. 1, Paper No. 18, 27 p. (2023; Zbl 1522.65165) Full Text: DOI arXiv OA License
Fokoué, Diane; Bourgault, Yves Numerical analysis of finite element methods for the cardiac extracellular-membrane-intracellular model: Steklov-Poincaré operator and spatial error estimates. (English) Zbl 07739224 ESAIM, Math. Model. Numer. Anal. 57, No. 4, 2595-2621 (2023). MSC: 65M60 65M06 65N30 65M12 65M15 35K57 92C37 92C35 35Q92 PDFBibTeX XMLCite \textit{D. Fokoué} and \textit{Y. Bourgault}, ESAIM, Math. Model. Numer. Anal. 57, No. 4, 2595--2621 (2023; Zbl 07739224) Full Text: DOI
Caucao, Sergio; Colmenares, Eligio; Gatica, Gabriel N.; Inzunza, Cristian A Banach spaces-based fully-mixed finite element method for the stationary chemotaxis-Navier-Stokes problem. (English) Zbl 07731322 Comput. Math. Appl. 145, 65-89 (2023). MSC: 65N30 92C17 35Q92 35Q35 76M10 PDFBibTeX XMLCite \textit{S. Caucao} et al., Comput. Math. Appl. 145, 65--89 (2023; Zbl 07731322) Full Text: DOI
Fujiwara, Hiroshi; Sadiq, Kamran; Tamasan, Alexandru Numerical reconstruction of radiative sources from partial boundary measurements. (English) Zbl 1522.65190 SIAM J. Imaging Sci. 16, No. 2, 948-968 (2023). MSC: 65N21 65N20 65N30 65R30 45E05 44A12 92C55 78A46 78A60 78M10 PDFBibTeX XMLCite \textit{H. Fujiwara} et al., SIAM J. Imaging Sci. 16, No. 2, 948--968 (2023; Zbl 1522.65190) Full Text: DOI arXiv
Hassan, Sattar M.; Harfash, Akil J. Finite element analysis of chemotaxis-growth model with indirect attractant production and logistic source. (English) Zbl 1524.65544 Int. J. Comput. Math. 100, No. 4, 745-774 (2023). MSC: 65M60 65H20 92C17 65M12 65M15 65M06 65N30 35Q92 PDFBibTeX XMLCite \textit{S. M. Hassan} and \textit{A. J. Harfash}, Int. J. Comput. Math. 100, No. 4, 745--774 (2023; Zbl 1524.65544) Full Text: DOI
Katz, Sarah; Caiazzo, Alfonso; John, Volker Impact of viscosity modeling on the simulation of aortic blood flow. (English) Zbl 07700238 J. Comput. Appl. Math. 425, Article ID 115036, 18 p. (2023). MSC: 65M60 65M06 65N30 76A05 76D05 76F06 76Z05 92C35 35Q92 PDFBibTeX XMLCite \textit{S. Katz} et al., J. Comput. Appl. Math. 425, Article ID 115036, 18 p. (2023; Zbl 07700238) Full Text: DOI
Du, Jie; Liu, Yong; Yang, Yang An oscillation-free bound-preserving discontinuous Galerkin method for multi-component chemically reacting flows. (English) Zbl 1519.65039 J. Sci. Comput. 95, No. 3, Paper No. 90, 28 p. (2023). MSC: 65M60 65M06 65L06 65N30 76V05 76L05 76N15 92E20 35Q31 35Q30 PDFBibTeX XMLCite \textit{J. Du} et al., J. Sci. Comput. 95, No. 3, Paper No. 90, 28 p. (2023; Zbl 1519.65039) Full Text: DOI
Bertoluzza, Silvia; Guidoboni, Giovanna; Hild, Romain; Prada, Daniele; Prud’homme, Christophe; Sacco, Riccardo; Sala, Lorenzo; Szopos, Marcela A HDG method for elliptic problems with integral boundary condition: theory and applications. (English) Zbl 1516.65124 J. Sci. Comput. 95, No. 1, Paper No. 6, 33 p. (2023). MSC: 65N30 46N40 82D37 82D40 92B05 92C05 PDFBibTeX XMLCite \textit{S. Bertoluzza} et al., J. Sci. Comput. 95, No. 1, Paper No. 6, 33 p. (2023; Zbl 1516.65124) Full Text: DOI
Zou, Guang-an; Li, Zhaohua; Yang, Xiaofeng Fully discrete discontinuous Galerkin numerical scheme with second-order temporal accuracy for the hydrodynamically coupled lipid vesicle model. (English) Zbl 1517.35188 J. Sci. Comput. 95, No. 1, Paper No. 5, 47 p. (2023). MSC: 35Q35 76D05 65M60 65M06 65N30 65M12 65M15 74K15 74L15 92C10 PDFBibTeX XMLCite \textit{G.-a. Zou} et al., J. Sci. Comput. 95, No. 1, Paper No. 5, 47 p. (2023; Zbl 1517.35188) Full Text: DOI
Tang, Yangyang; Zou, Guang-an; Li, Jian Unconditionally energy-stable finite element scheme for the chemotaxis-fluid system. (English) Zbl 1517.35185 J. Sci. Comput. 95, No. 1, Paper No. 1, 34 p. (2023). MSC: 35Q35 35Q92 76D05 92C17 65M60 65M06 65N30 65M12 65M15 76M10 76M20 92-08 PDFBibTeX XMLCite \textit{Y. Tang} et al., J. Sci. Comput. 95, No. 1, Paper No. 1, 34 p. (2023; Zbl 1517.35185) Full Text: DOI
Gómez-Vargas, Bryan; Mardal, Kent-André; Ruiz-Baier, Ricardo; Vinje, Vegard Twofold saddle-point formulation of Biot poroelasticity with stress-dependent diffusion. (English) Zbl 07695666 SIAM J. Numer. Anal. 61, No. 3, 1449-1481 (2023). MSC: 65N30 92C50 76S05 92-08 PDFBibTeX XMLCite \textit{B. Gómez-Vargas} et al., SIAM J. Numer. Anal. 61, No. 3, 1449--1481 (2023; Zbl 07695666) Full Text: DOI arXiv
Zappon, Elena; Manzoni, Andrea; Quarteroni, Alfio Efficient and certified solution of parametrized one-way coupled problems through DEIM-based data projection across non-conforming interfaces. (English) Zbl 1512.65221 Adv. Comput. Math. 49, No. 2, Paper No. 21, 42 p. (2023). Reviewer: Marius Ghergu (Dublin) MSC: 65M60 65M06 65N30 65N99 65D05 65M12 76Z05 76W05 92C30 92C10 92C50 92-08 35Q92 PDFBibTeX XMLCite \textit{E. Zappon} et al., Adv. Comput. Math. 49, No. 2, Paper No. 21, 42 p. (2023; Zbl 1512.65221) Full Text: DOI arXiv
Egberts, Ginger; Vermolen, Fred; van Zuijlen, Paul Stability of a two-dimensional biomorphoelastic model for post-burn contraction. (English) Zbl 1512.35590 J. Math. Biol. 86, No. 4, Paper No. 59, 37 p. (2023). MSC: 35Q92 92C10 92C45 92C37 92-10 74L15 35B20 35B35 35G20 35L65 35M10 65M60 65M06 65N30 65D32 65C20 65M12 65N12 35R37 PDFBibTeX XMLCite \textit{G. Egberts} et al., J. Math. Biol. 86, No. 4, Paper No. 59, 37 p. (2023; Zbl 1512.35590) Full Text: DOI
Lu, Yu; Li, Meng Unconditionally convergent and superconvergent FEMs for nonlinear coupled time-fractional prey-predator problem. (English) Zbl 1524.65577 Comput. Appl. Math. 42, No. 3, Paper No. 111, 38 p. (2023). MSC: 65M60 65M06 65N30 65M22 65M12 26A33 35R11 92D25 35Q92 65M15 PDFBibTeX XMLCite \textit{Y. Lu} and \textit{M. Li}, Comput. Appl. Math. 42, No. 3, Paper No. 111, 38 p. (2023; Zbl 1524.65577) Full Text: DOI
Shi, Dongyang; Li, Chaoqun A linearized decoupled Crank-Nicolson FEM for Keller-Segel chemotactic model with nonlinear secretion. (English) Zbl 1508.65133 Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 107063, 25 p. (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 65M06 65N30 65M12 92C17 35Q92 PDFBibTeX XMLCite \textit{D. Shi} and \textit{C. Li}, Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 107063, 25 p. (2023; Zbl 1508.65133) Full Text: DOI
Marcinno’, Fabio; Zingaro, Alberto; Fumagalli, Ivan; Dede’, Luca; Vergara, Christian A computational study of blood flow dynamics in the pulmonary arteries. (English) Zbl 1506.65157 Vietnam J. Math. 51, No. 1, 127-149 (2023). MSC: 65M60 65M06 65N30 65L06 76Z05 92C35 35Q92 76D05 PDFBibTeX XMLCite \textit{F. Marcinno'} et al., Vietnam J. Math. 51, No. 1, 127--149 (2023; Zbl 1506.65157) Full Text: DOI
Pártl, Ondřej; Wilbrandt, Ulrich; Mura, Joaquín; Caiazzo, Alfonso Reconstruction of flow domain boundaries from velocity data via multi-step optimization of distributed resistance. (English) Zbl 1524.65736 Comput. Math. Appl. 129, 11-33 (2023). MSC: 65N21 65N30 35Q30 76M10 65M60 76D07 92C35 35Q92 76Z05 92C55 76S05 35A15 65K10 35R30 PDFBibTeX XMLCite \textit{O. Pártl} et al., Comput. Math. Appl. 129, 11--33 (2023; Zbl 1524.65736) Full Text: DOI
Beltrán-Larrotta, Carlos M.; Rueda-Gómez, Diego A.; Villamizar-Roa, Élder J. On a chemotaxis-Navier-Stokes system with Lotka-Volterra competitive kinetics: theoretical and numerical analysis. (English) Zbl 1503.35235 Appl. Numer. Math. 184, 77-100 (2023). MSC: 35Q92 35Q30 92C17 92D25 92E20 76D05 35D30 35D35 35B65 65M60 65M06 65N30 65M12 65M15 92-08 PDFBibTeX XMLCite \textit{C. M. Beltrán-Larrotta} et al., Appl. Numer. Math. 184, 77--100 (2023; Zbl 1503.35235) Full Text: DOI
Söderholm, Santtu; Lahtinen, Joonas; Wolters, Carsten H.; Pursiainen, Sampsa The Effects of Peeling on Finite Element Method -based EEG Source Reconstruction. arXiv:2308.04908 Preprint, arXiv:2308.04908 [math.NA] (2023). MSC: 65N30 92C55 BibTeX Cite \textit{S. Söderholm} et al., ``The Effects of Peeling on Finite Element Method -based EEG Source Reconstruction'', Preprint, arXiv:2308.04908 [math.NA] (2023) Full Text: arXiv OA License
Berre, Nanna; Rognes, Marie E.; Massing, Andre Cut finite element discretizations of cell-by-cell EMI electrophysiology models. arXiv:2306.03001 Preprint, arXiv:2306.03001 [math.NA] (2023). MSC: 65M60 65M85 65N30 65N85 92C20 BibTeX Cite \textit{N. Berre} et al., ``Cut finite element discretizations of cell-by-cell EMI electrophysiology models'', Preprint, arXiv:2306.03001 [math.NA] (2023) Full Text: arXiv OA License
Bonilla, Jesús; Gutiérrez-Santacreu, Juan Vicente Exploring numerical blow-up phenomena for the Keller-Segel-Navier-Stokes equations. arXiv:2302.00139 Preprint, arXiv:2302.00139 [math.NA] (2023). MSC: 35Q35 65N30 92C17 BibTeX Cite \textit{J. Bonilla} and \textit{J. V. Gutiérrez-Santacreu}, ``Exploring numerical blow-up phenomena for the Keller-Segel-Navier-Stokes equations'', Preprint, arXiv:2302.00139 [math.NA] (2023) Full Text: arXiv OA License
Song, Minghui; Wang, Jinfeng; Liu, Yang; Li, Hong Local discontinuous Galerkin method combined with the \(L2\) formula for the time fractional cable model. (English) Zbl 1503.65247 J. Appl. Math. Comput. 68, No. 6, 4457-4478 (2022). MSC: 65M60 65M06 65N30 65M12 65M15 92C20 92-08 35Q92 26A33 35R11 PDFBibTeX XMLCite \textit{M. Song} et al., J. Appl. Math. Comput. 68, No. 6, 4457--4478 (2022; Zbl 1503.65247) Full Text: DOI
Cusseddu, Davide; Madzvamuse, Anotida Numerical investigations of the bulk-surface wave pinning model. (English) Zbl 1504.35580 Math. Biosci. 354, Article ID 108925, 11 p. (2022). MSC: 35Q92 92C37 92-04 92-08 92-10 35B36 35K57 35R01 58J90 65-04 65M60 65M06 65N30 PDFBibTeX XMLCite \textit{D. Cusseddu} and \textit{A. Madzvamuse}, Math. Biosci. 354, Article ID 108925, 11 p. (2022; Zbl 1504.35580) Full Text: DOI arXiv
Zou, Guang-An; Wang, Bo; Yang, Xiaofeng A fully-decoupled discontinuous Galerkin approximation of the Cahn-Hilliard-Brinkman-Ohta-Kawasaki tumor growth model. (English) Zbl 1503.65255 ESAIM, Math. Model. Numer. Anal. 56, No. 6, 2141-2180 (2022). MSC: 65M60 65M06 65N30 65M12 76S05 76Z05 92C35 92C17 92C37 92C50 35Q92 35Q35 PDFBibTeX XMLCite \textit{G.-A. Zou} et al., ESAIM, Math. Model. Numer. Anal. 56, No. 6, 2141--2180 (2022; Zbl 1503.65255) Full Text: DOI
Mourad, Ayman; Taha, Zahraa Existence of solution to a Cahn-Hilliard equation. (English) Zbl 1503.35240 Asymptotic Anal. 130, No. 3-4, 387-408 (2022). MSC: 35Q92 92C37 35K41 35B44 35A01 65N30 65H10 92-08 PDFBibTeX XMLCite \textit{A. Mourad} and \textit{Z. Taha}, Asymptotic Anal. 130, No. 3--4, 387--408 (2022; Zbl 1503.35240) Full Text: DOI
Dolean, Victorita; Hecht, Frédéric; Jolivet, Pierre; Nataf, Frédéric; Tournier, Pierre-Henri Recent advances in adaptive coarse spaces and availability in open source libraries. (English) Zbl 1514.65187 MathS In Action 11, 61-71 (2022). MSC: 65N50 65Y05 65N30 65F08 65F10 65-01 65-04 92C55 92C50 92C35 PDFBibTeX XMLCite \textit{V. Dolean} et al., MathS In Action 11, 61--71 (2022; Zbl 1514.65187) Full Text: DOI
Van-Brunt, Alexander; Farrell, Patrick E.; Monroe, Charles W. Augmented saddle-point formulation of the steady-state Stefan-Maxwell diffusion problem. (English) Zbl 1517.65119 IMA J. Numer. Anal. 42, No. 4, 3272-3305 (2022). Reviewer: Dana Černá (Liberec) MSC: 65N30 65N15 76N15 35A01 35A02 92C30 PDFBibTeX XMLCite \textit{A. Van-Brunt} et al., IMA J. Numer. Anal. 42, No. 4, 3272--3305 (2022; Zbl 1517.65119) Full Text: DOI arXiv
Bubba, Federica; Perthame, Benoit; Cerroni, Daniele; Ciarletta, Pasquale; Zunino, Paolo A coupled 3D-1D multiscale Keller-Segel model of chemotaxis and its application to cancer invasion. (English) Zbl 1501.92006 Discrete Contin. Dyn. Syst., Ser. S 15, No. 8, 2053-2086 (2022). Reviewer: Piotr Biler (Wrocław) MSC: 92C17 92C32 35Q92 65N30 PDFBibTeX XMLCite \textit{F. Bubba} et al., Discrete Contin. Dyn. Syst., Ser. S 15, No. 8, 2053--2086 (2022; Zbl 1501.92006) Full Text: DOI
Hassan, Sattar M.; Harfash, Akil J. Finite element analysis of a two-species chemotaxis system with two chemicals. (English) Zbl 1500.65060 Appl. Numer. Math. 182, 148-175 (2022). MSC: 65M60 65M06 65N30 35D30 35B65 92C17 92-08 35Q92 PDFBibTeX XMLCite \textit{S. M. Hassan} and \textit{A. J. Harfash}, Appl. Numer. Math. 182, 148--175 (2022; Zbl 1500.65060) Full Text: DOI
Yang, Dandan; Duan, Zhiwen The inverse source problem of Cherenkov radiation model. (English) Zbl 1511.65099 Appl. Numer. Math. 182, 42-56 (2022). MSC: 65M32 65M30 65M60 65M06 65N30 65J20 65M12 65M15 78A40 78A46 35B65 83A05 92C55 35Q60 PDFBibTeX XMLCite \textit{D. Yang} and \textit{Z. Duan}, Appl. Numer. Math. 182, 42--56 (2022; Zbl 1511.65099) Full Text: DOI
Huynh, Ngoc Mai Monica; Pavarino, Luca F.; Scacchi, Simone Scalable and robust dual-primal Newton-Krylov deluxe solvers for cardiac electrophysiology with biophysical ionic models. (English) Zbl 1507.65276 Vietnam J. Math. 50, No. 4, 1029-1052 (2022). Reviewer: Michael Jung (Dresden) MSC: 65N55 65M55 65M60 65M06 65N30 65H10 65F08 65F10 65Y05 92C30 35Q92 PDFBibTeX XMLCite \textit{N. M. M. Huynh} et al., Vietnam J. Math. 50, No. 4, 1029--1052 (2022; Zbl 1507.65276) Full Text: DOI
Bubba, Federica; Poulain, Alexandre A nonnegativity preserving scheme for the relaxed Cahn-Hilliard equation with single-well potential and degenerate mobility. (English) Zbl 1498.35548 ESAIM, Math. Model. Numer. Anal. 56, No. 5, 1741-1772 (2022). MSC: 35Q92 92C37 65M60 65M06 65N30 35K55 35K65 35K35 92-08 PDFBibTeX XMLCite \textit{F. Bubba} and \textit{A. Poulain}, ESAIM, Math. Model. Numer. Anal. 56, No. 5, 1741--1772 (2022; Zbl 1498.35548) Full Text: DOI arXiv
Liu, Mingyang; Gao, Guangjun; Khoo, Boo Cheong; He, Zhenhu; Jiang, Chen A cell-based smoothed finite element model for non-Newtonian blood flow. (English) Zbl 1510.76089 Appl. Math. Comput. 435, Article ID 127480, 22 p. (2022). MSC: 76M10 65N30 92C35 76Z05 PDFBibTeX XMLCite \textit{M. Liu} et al., Appl. Math. Comput. 435, Article ID 127480, 22 p. (2022; Zbl 1510.76089) Full Text: DOI
Verma, Nitesh; Gómez-Vargas, Bryan; De Oliveira Vilaca, Luis Miguel; Kumar, Sarvesh; Ruiz-Baier, Ricardo Well-posedness and discrete analysis for advection-diffusion-reaction in poroelastic media. (English) Zbl 1497.65184 Appl. Anal. 101, No. 14, 4914-4941 (2022). MSC: 65M60 65M06 65N30 65H10 65F08 65F10 65M12 65M15 35K57 35B40 35A01 35A02 74F10 74L15 76S05 92C10 74S05 74S20 76M10 76M20 35Q74 35Q35 PDFBibTeX XMLCite \textit{N. Verma} et al., Appl. Anal. 101, No. 14, 4914--4941 (2022; Zbl 1497.65184) Full Text: DOI arXiv
Sequeira, Tiago F.; Lima, Pedro M. Numerical simulations of one- and two-dimensional stochastic neural field equations with delay. (English) Zbl 1494.65084 J. Comput. Neurosci. 50, No. 3, 299-311 (2022). MSC: 65M60 65M06 65N30 65T50 65R20 65M12 65Z05 35R09 92B20 92-08 35Q92 35R07 PDFBibTeX XMLCite \textit{T. F. Sequeira} and \textit{P. M. Lima}, J. Comput. Neurosci. 50, No. 3, 299--311 (2022; Zbl 1494.65084) Full Text: DOI
Hashim, Mohammed Homod; Harfash, Akil J. Finite element analysis of attraction-repulsion chemotaxis system. II: Time convergence, error analysis and numerical results. (English) Zbl 1513.65361 Commun. Appl. Math. Comput. 4, No. 3, 1057-1104 (2022). MSC: 65M60 65M06 65N30 92C17 65M12 35D30 65M15 35Q92 PDFBibTeX XMLCite \textit{M. H. Hashim} and \textit{A. J. Harfash}, Commun. Appl. Math. Comput. 4, No. 3, 1057--1104 (2022; Zbl 1513.65361) Full Text: DOI
Hashim, Mohammed Homod; Harfash, Akil J. Finite element analysis of attraction-repulsion chemotaxis system. I: Space convergence. (English) Zbl 1513.65360 Commun. Appl. Math. Comput. 4, No. 3, 1011-1056 (2022). MSC: 65M60 65M06 65N30 92C17 65M12 35D30 35B65 35B45 35Q92 PDFBibTeX XMLCite \textit{M. H. Hashim} and \textit{A. J. Harfash}, Commun. Appl. Math. Comput. 4, No. 3, 1011--1056 (2022; Zbl 1513.65360) Full Text: DOI
Jiang, Maosheng; Zhao, Jia; Wang, Qi Linear energy stable numerical schemes for a general chemo-repulsive model. (English) Zbl 1502.65124 J. Comput. Appl. Math. 415, Article ID 114436, 15 p. (2022). MSC: 65M60 65M06 65N30 65N50 65M12 92C17 35Q82 PDFBibTeX XMLCite \textit{M. Jiang} et al., J. Comput. Appl. Math. 415, Article ID 114436, 15 p. (2022; Zbl 1502.65124) Full Text: DOI
Galarce, Felipe; Lombardi, Damiano; Mula, Olga State estimation with model reduction and shape variability. Application to biomedical problems. (English) Zbl 1492.65305 SIAM J. Sci. Comput. 44, No. 3, B805-B833 (2022). MSC: 65N30 65D99 35R30 76Z05 92C55 PDFBibTeX XMLCite \textit{F. Galarce} et al., SIAM J. Sci. Comput. 44, No. 3, B805--B833 (2022; Zbl 1492.65305) Full Text: DOI arXiv
Tenderini, Riccardo; Pagani, Stefano; Quarteroni, Alfio; Deparis, Simone PDE-aware deep learning for inverse problems in cardiac electrophysiology. (English) Zbl 1497.65212 SIAM J. Sci. Comput. 44, No. 3, B605-B639 (2022). Reviewer: Sarah Eberle (Frankfurt am Main) MSC: 65N21 68T05 65N30 92B20 35Q92 PDFBibTeX XMLCite \textit{R. Tenderini} et al., SIAM J. Sci. Comput. 44, No. 3, B605--B639 (2022; Zbl 1497.65212) Full Text: DOI
Chuchard, Pearanat; Prathumwan, Din; Chaiya, Inthira; Trachoo, Kamonchat Effect of body weight on the L3 lumbar vertebra with lumbar spinal stenosis in different body-bending degrees: a finite element simulation. (English) Zbl 1492.65302 Results Appl. Math. 14, Article ID 100266, 14 p. (2022). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 74L15 74A10 92C10 74S05 PDFBibTeX XMLCite \textit{P. Chuchard} et al., Results Appl. Math. 14, Article ID 100266, 14 p. (2022; Zbl 1492.65302) Full Text: DOI
Pérez-López, Jhean E.; Rueda-Gómez, Diego A.; Villamizar-Roa, Élder J. Numerical analysis of a chemotaxis model for tumor invasion. (English) Zbl 1492.35376 Adv. Comput. Math. 48, No. 3, Paper No. 26, 28 p. (2022). MSC: 35Q92 92C17 92C50 92C15 35B09 35B36 65M60 65M22 65N30 65M15 65M12 92-08 PDFBibTeX XMLCite \textit{J. E. Pérez-López} et al., Adv. Comput. Math. 48, No. 3, Paper No. 26, 28 p. (2022; Zbl 1492.35376) Full Text: DOI
Mahiout, Latifa Ait; Bessonov, Nikolai; Kazmierczak, Bogdan; Sadaka, Georges; Volpert, Vitaly Infection spreading in cell culture as a reaction-diffusion wave. (English) Zbl 1492.35373 ESAIM, Math. Model. Numer. Anal. 56, No. 3, 791-814 (2022). MSC: 35Q92 92D30 92C37 35K51 35A01 35A24 65M60 65M06 65N30 92-08 35R07 PDFBibTeX XMLCite \textit{L. A. Mahiout} et al., ESAIM, Math. Model. Numer. Anal. 56, No. 3, 791--814 (2022; Zbl 1492.35373) Full Text: DOI
Grekas, Georgios; Koumatos, Konstantinos; Makridakis, Charalambos; Rosakis, Phoebus Approximations of energy minimization in cell-induced phase transitions of fibrous biomaterials: \(\Gamma\)-convergence analysis. (English) Zbl 1489.65159 SIAM J. Numer. Anal. 60, No. 2, 715-750 (2022). MSC: 65N30 65N12 49J45 74G65 74L15 74B20 92C10 46E30 PDFBibTeX XMLCite \textit{G. Grekas} et al., SIAM J. Numer. Anal. 60, No. 2, 715--750 (2022; Zbl 1489.65159) Full Text: DOI arXiv
Jagtap, N. V.; Mudunuru, M. K.; Nakshatrala, K. B. A deep learning modeling framework to capture mixing patterns in reactive-transport systems. (English) Zbl 1507.35182 Commun. Comput. Phys. 31, No. 1, 188-223 (2022). MSC: 35Q35 35Q79 76V05 80A32 92E20 35K57 35-04 35K51 76M10 65M60 65M06 65N30 68T07 68Q32 PDFBibTeX XMLCite \textit{N. V. Jagtap} et al., Commun. Comput. Phys. 31, No. 1, 188--223 (2022; Zbl 1507.35182) Full Text: DOI arXiv
Pargaei, Meena; Kumar, B. V. Rathish; Pavarino, Luca F.; Scacchi, Simone Cardiac electro-mechanical activity in a deforming human cardiac tissue: modeling, existence-uniqueness, finite element computation and application to multiple ischemic disease. (English) Zbl 1492.35375 J. Math. Biol. 84, No. 3, Paper No. 17, 42 p. (2022). MSC: 35Q92 92C37 92C35 92C05 35G20 35G50 35A01 35A02 34A12 65M60 65M06 65N30 65L05 92-08 PDFBibTeX XMLCite \textit{M. Pargaei} et al., J. Math. Biol. 84, No. 3, Paper No. 17, 42 p. (2022; Zbl 1492.35375) Full Text: DOI
Medina, Emmanuel Y.; Toledo, Elson M.; Igreja, Iury; Rocha, Bernardo M. A stabilized hybrid discontinuous Galerkin method for the Cahn-Hilliard equation. (English) Zbl 1484.65229 J. Comput. Appl. Math. 406, Article ID 114025, 16 p. (2022). MSC: 65M60 65M06 65N30 65M12 76M10 35K55 92C37 92C50 35Q92 PDFBibTeX XMLCite \textit{E. Y. Medina} et al., J. Comput. Appl. Math. 406, Article ID 114025, 16 p. (2022; Zbl 1484.65229) Full Text: DOI
Ferreira, J. A.; Jordão, D.; Pinto, L. Drug delivery enhanced by ultrasound: mathematical modeling and simulation. (English) Zbl 1524.65529 Comput. Math. Appl. 107, 57-69 (2022). MSC: 65M60 65M06 65N06 65N30 65N12 76Q05 35Q79 35Q92 80A19 65D32 92C50 PDFBibTeX XMLCite \textit{J. A. Ferreira} et al., Comput. Math. Appl. 107, 57--69 (2022; Zbl 1524.65529) Full Text: DOI
Laymuns, Genaro; Sánchez, Manuel A. Corrected finite element methods on unfitted meshes for Stokes moving interface problem. (English) Zbl 1524.65832 Comput. Math. Appl. 108, 159-174 (2022). MSC: 65N30 35J25 65N15 74F10 65N50 76D07 65M60 65M06 92C35 35Q92 74B10 76M10 74S05 35Q35 35Q74 PDFBibTeX XMLCite \textit{G. Laymuns} and \textit{M. A. Sánchez}, Comput. Math. Appl. 108, 159--174 (2022; Zbl 1524.65832) Full Text: DOI
Peng, Q.; Vermolen, F. J. Numerical methods to compute stresses and displacements from cellular forces: application to the contraction of tissue. (English) Zbl 1501.65125 J. Comput. Appl. Math. 404, Article ID 113892, 14 p. (2022). MSC: 65N30 74L15 92C10 35J05 PDFBibTeX XMLCite \textit{Q. Peng} and \textit{F. J. Vermolen}, J. Comput. Appl. Math. 404, Article ID 113892, 14 p. (2022; Zbl 1501.65125) Full Text: DOI arXiv
Shi, Dongyang; Li, Chaoqun A new combined scheme of \(H^1\)-Galerkin FEM and TGM for bacterial equations. (English) Zbl 1518.65111 Appl. Numer. Math. 171, 23-31 (2022). MSC: 65M60 65M06 65N30 65M55 65N50 65M12 35K20 92D30 92-08 35Q92 PDFBibTeX XMLCite \textit{D. Shi} and \textit{C. Li}, Appl. Numer. Math. 171, 23--31 (2022; Zbl 1518.65111) Full Text: DOI
Ferreira, J. A.; Pinto, L.; Santos, R. F. Numerical analysis of a porous-elastic model for convection enhanced drug delivery. (English) Zbl 1487.65148 J. Comput. Appl. Math. 399, Article ID 113719, 19 p. (2022). Reviewer: Baasansuren Jadamba (Rochester) MSC: 65M60 65M06 65N30 65N06 65M12 76S05 74F10 74B10 92C50 76M10 76M20 PDFBibTeX XMLCite \textit{J. A. Ferreira} et al., J. Comput. Appl. Math. 399, Article ID 113719, 19 p. (2022; Zbl 1487.65148) Full Text: DOI
Zingaro, Alberto; Bucelli, Michele; Fumagalli, Ivan; Dede’, Luca; Quarteroni, Alfio Modeling isovolumetric phases in cardiac flows by an Augmented Resistive Immersed Implicit Surface Method. arXiv:2208.09435 Preprint, arXiv:2208.09435 [math.NA] (2022). MSC: 65N30 65M60 65Z05 76Z05 76D05 92C35 BibTeX Cite \textit{A. Zingaro} et al., ``Modeling isovolumetric phases in cardiac flows by an Augmented Resistive Immersed Implicit Surface Method'', Preprint, arXiv:2208.09435 [math.NA] (2022) Full Text: arXiv OA License
Africa, Pasquale C.; Piersanti, Roberto; Fedele, Marco; Dede’, Luca; Quarteroni, Alfio An open tool based on lifex for myofibers generation in cardiac computational models. arXiv:2201.03303 Preprint, arXiv:2201.03303 [cs.MS] (2022). MSC: 68-04 68N30 35-04 65-04 65M60 65N30 65Y05 92-04 92C50 BibTeX Cite \textit{P. C. Africa} et al., ``An open tool based on lifex for myofibers generation in cardiac computational models'', Preprint, arXiv:2201.03303 [cs.MS] (2022) Full Text: arXiv OA License
Bendahmane, Mostafa; Mroue, Fatima; Saad, Mazen A positive cell vertex Godunov scheme for a Beeler-Reuter based model of cardiac electrical activity. (English) Zbl 07777698 Numer. Methods Partial Differ. Equations 37, No. 1, 262-301 (2021). MSC: 65M08 65M60 65N08 65N30 65M06 65M12 65M15 92C30 78A70 35D30 35A01 35Q92 PDFBibTeX XMLCite \textit{M. Bendahmane} et al., Numer. Methods Partial Differ. Equations 37, No. 1, 262--301 (2021; Zbl 07777698) Full Text: DOI
Degond, Pierre; Jin, Shi; Zhu, Yuhua An uncertainty quantification approach to the study of gene expression robustness. (English) Zbl 1514.35439 Methods Appl. Anal. 28, No. 2, 195-220 (2021). MSC: 35Q92 92C37 92D10 35B65 65M70 65N30 65M12 65C30 60H35 35R60 PDFBibTeX XMLCite \textit{P. Degond} et al., Methods Appl. Anal. 28, No. 2, 195--220 (2021; Zbl 1514.35439) Full Text: DOI arXiv
Cervantes, Daniel; Moreles, Miguel Angel; Peña, Joaquin; Ramirez-Manzanares, Alonso A computational method for the covariance matrix associated with extracellular diffusivity on disordered models of cylindrical brain axons. (English) Zbl 1501.92022 Math. Biosci. Eng. 18, No. 5, 4961-4970 (2021). MSC: 92C35 35Q92 65N30 PDFBibTeX XMLCite \textit{D. Cervantes} et al., Math. Biosci. Eng. 18, No. 5, 4961--4970 (2021; Zbl 1501.92022) Full Text: DOI
Garcke, Harald; Nürnberg, Robert Structure-preserving discretizations of gradient flows for axisymmetric two-phase biomembranes. (English) Zbl 1516.65128 IMA J. Numer. Anal. 41, No. 3, 1899-1940 (2021). Reviewer: Vit Dolejsi (Praha) MSC: 65N30 65M06 65F08 65F10 35B07 35A15 74K15 74L15 92C10 74S05 92-08 35Q74 35Q92 PDFBibTeX XMLCite \textit{H. Garcke} and \textit{R. Nürnberg}, IMA J. Numer. Anal. 41, No. 3, 1899--1940 (2021; Zbl 1516.65128) Full Text: DOI arXiv
Gräser, Carsten; Kies, Tobias On differentiability of the membrane-mediated mechanical interaction energy of discrete-continuum membrane-particle models. (English) Zbl 1509.35307 Interfaces Free Bound. 23, No. 4, 459-484 (2021). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q74 35R35 74K15 74L15 74B20 92C37 49Q10 35R09 74S05 74S20 65M60 65M06 65N30 PDFBibTeX XMLCite \textit{C. Gräser} and \textit{T. Kies}, Interfaces Free Bound. 23, No. 4, 459--484 (2021; Zbl 1509.35307) Full Text: DOI arXiv
King, John R.; Venkataraman, Chandrasekhar Free boundary problems for Stokes flow, with applications to the growth of biological tissues. (English) Zbl 1514.35355 Interfaces Free Bound. 23, No. 4, 433-458 (2021). Reviewer: Vishnu Dutt Sharma (Ghandinagar) MSC: 35Q35 35Q92 76D07 76S05 92C37 92C10 35R35 65M60 65M06 65N30 76M10 76M20 92-08 PDFBibTeX XMLCite \textit{J. R. King} and \textit{C. Venkataraman}, Interfaces Free Bound. 23, No. 4, 433--458 (2021; Zbl 1514.35355) Full Text: DOI
Fritz, Marvin; Jha, Prashant K.; Köppl, Tobias; Oden, J. Tinsley; Wohlmuth, Barbara Analysis of a new multispecies tumor growth model coupling 3D phase-fields with a 1D vascular network. (English) Zbl 1480.92046 Nonlinear Anal., Real World Appl. 61, Article ID 103331, 39 p. (2021). MSC: 92C32 92C35 35R35 65N30 PDFBibTeX XMLCite \textit{M. Fritz} et al., Nonlinear Anal., Real World Appl. 61, Article ID 103331, 39 p. (2021; Zbl 1480.92046) Full Text: DOI arXiv
Feng, Xinlong; Huang, Xueling; Wang, Kun Error estimate of unconditionally stable and decoupled linear positivity-preserving FEM for the chemotaxis-Stokes equations. (English) Zbl 1480.65254 SIAM J. Numer. Anal. 59, No. 6, 3052-3076 (2021). MSC: 65M60 65M06 65N30 65M15 65M12 35D30 76D07 92C17 35Q35 35Q92 PDFBibTeX XMLCite \textit{X. Feng} et al., SIAM J. Numer. Anal. 59, No. 6, 3052--3076 (2021; Zbl 1480.65254) Full Text: DOI
Bedekar, Prajakta; Timofeyev, Ilya; Warmflash, Aryeh; Perepelitsa, Misha Reaction-diffusion models for morphological patterning of hESCs. (English) Zbl 1479.35872 J. Math. Biol. 83, No. 5, Paper No. 55, 26 p. (2021). MSC: 35Q92 35K57 35A01 35B35 92C15 65M60 65M06 65N30 92-08 PDFBibTeX XMLCite \textit{P. Bedekar} et al., J. Math. Biol. 83, No. 5, Paper No. 55, 26 p. (2021; Zbl 1479.35872) Full Text: DOI arXiv
Hodneland, Erlend; Hu, Xiaozhe; Nordbotten, Jan M. Well-posedness and discretization for a class of models for mixed-dimensional problems with high-dimensional gap. (English) Zbl 1478.65127 SIAM J. Appl. Math. 81, No. 5, 2218-2245 (2021). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65N08 65N22 65N15 35A01 35A02 76S05 76Z05 92C35 35Q92 PDFBibTeX XMLCite \textit{E. Hodneland} et al., SIAM J. Appl. Math. 81, No. 5, 2218--2245 (2021; Zbl 1478.65127) Full Text: DOI arXiv
Dedè, Luca; Quarteroni, Alfio; Regazzoni, Francesco Mathematical and numerical models for the cardiac electromechanical function. (English) Zbl 1478.35211 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 32, No. 2, 233-272 (2021). Reviewer: Piotr Biler (Wrocław) MSC: 35Q92 65M60 65L06 65N30 92C10 92C35 92C37 92C40 92C20 35A24 35C07 76D05 76Z05 78A57 78A40 PDFBibTeX XMLCite \textit{L. Dedè} et al., Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 32, No. 2, 233--272 (2021; Zbl 1478.35211) Full Text: DOI
Liu, Yang; Shu, Shi; Wei, Huayi; Yang, Ying A virtual element method for the steady-state Poisson-Nernst-Planck equations on polygonal meshes. (English) Zbl 1524.65838 Comput. Math. Appl. 102, 95-112 (2021). MSC: 65N30 65N12 65N15 35Q60 78A57 78A35 82D37 92C40 PDFBibTeX XMLCite \textit{Y. Liu} et al., Comput. Math. Appl. 102, 95--112 (2021; Zbl 1524.65838) Full Text: DOI
Rathore, Surabhi; Uda, Tomoki; Huynh, Viet Q. H.; Suito, Hiroshi; Watanabe, Toshitaka; Sugiyama, Hironobu; Srikanth, D. Numerical computation of blood flow for a patient-specific hemodialysis shunt model. (English) Zbl 1479.35630 Japan J. Ind. Appl. Math. 38, No. 3, 903-919 (2021). MSC: 35Q30 35Q92 76D05 76Z05 92C35 76M10 76M20 65M60 65M06 65N30 92-08 PDFBibTeX XMLCite \textit{S. Rathore} et al., Japan J. Ind. Appl. Math. 38, No. 3, 903--919 (2021; Zbl 1479.35630) Full Text: DOI
Shine, Connor J.; McHugh, Peter E.; Ronan, William Impact of degradation and material crystallinity on the mechanical performance of a bioresorbable polymeric stent. (English) Zbl 1477.65245 J. Elasticity 145, No. 1-2, 243-264 (2021). MSC: 65N30 35K57 74A05 74A10 74A45 74B10 92C10 92C40 92C35 92B10 35Q74 35Q92 PDFBibTeX XMLCite \textit{C. J. Shine} et al., J. Elasticity 145, No. 1--2, 243--264 (2021; Zbl 1477.65245) Full Text: DOI
Daví, Fabrizio Existence, decay time and light yield for a reaction-diffusion-drift equation In the continuum physics of scintillators. (English) Zbl 1487.35376 Vespri, Vincenzo (ed.) et al., Harnack inequalities and nonlinear operators. Proceedings of the INdAM conference to celebrate the 70th birthday of Emmanuele DiBenedetto. Cham: Springer. Springer INdAM Ser. 46, 125-137 (2021). MSC: 35Q92 92C05 92C40 78A40 35A15 35A23 35B27 35B45 65M60 65M06 65N30 65M12 PDFBibTeX XMLCite \textit{F. Daví}, Springer INdAM Ser. 46, 125--137 (2021; Zbl 1487.35376) Full Text: DOI arXiv
Caruso, Giovanni Mathematical modeling of the rod phototransduction process. (English) Zbl 1487.35374 Vespri, Vincenzo (ed.) et al., Harnack inequalities and nonlinear operators. Proceedings of the INdAM conference to celebrate the 70th birthday of Emmanuele DiBenedetto. Cham: Springer. Springer INdAM Ser. 46, 93-124 (2021). MSC: 35Q92 92C05 92C40 78A40 35A23 35B45 35B27 65M60 65M06 65N30 PDFBibTeX XMLCite \textit{G. Caruso}, Springer INdAM Ser. 46, 93--124 (2021; Zbl 1487.35374) Full Text: DOI
Lang, Lukas F.; Dutta, Nilankur; Scarpa, Elena; Sanson, Bénédicte; Schönlieb, Carola-Bibiane; Étienne, Jocelyn Joint motion estimation and source identification using convective regularisation with an application to the analysis of laser nanoablations. (English) Zbl 1487.65140 Kaltenbacher, Barbara (ed.) et al., Time-dependent problems in imaging and parameter identification. Cham: Springer. 191-227 (2021). MSC: 65M32 65M30 65M60 65M06 65N30 65K10 35A15 35B65 92C37 94A05 35R30 35Q92 PDFBibTeX XMLCite \textit{L. F. Lang} et al., in: Time-dependent problems in imaging and parameter identification. Cham: Springer. 191--227 (2021; Zbl 1487.65140) Full Text: DOI DOI
Gerken, Thies Dynamic inverse problems for the acoustic wave equation. (English) Zbl 1487.65134 Kaltenbacher, Barbara (ed.) et al., Time-dependent problems in imaging and parameter identification. Cham: Springer. 25-49 (2021). MSC: 65M32 65M30 76Q05 65M60 65M06 65N30 65M12 65K10 65J20 65J22 35R30 92C55 PDFBibTeX XMLCite \textit{T. Gerken}, in: Time-dependent problems in imaging and parameter identification. Cham: Springer. 25--49 (2021; Zbl 1487.65134) Full Text: DOI
Duarte-Rodríguez, Abelardo; Rodríguez-Bellido, María Ángeles; Rueda-Gómez, Diego A.; Villamizar-Roa, Élder J. Numerical analysis for a chemotaxis-Navier-Stokes system. (English) Zbl 1479.35662 ESAIM, Math. Model. Numer. Anal. 55, Suppl., 417-445 (2021). MSC: 35Q35 35Q92 92C17 35B65 65M60 65M06 65N30 65M12 65M15 76D05 76T99 PDFBibTeX XMLCite \textit{A. Duarte-Rodríguez} et al., ESAIM, Math. Model. Numer. Anal. 55, 417--445 (2021; Zbl 1479.35662) Full Text: DOI arXiv
Fernández-Romero, A.; Guillén-González, F.; Suárez, A. Theoretical and numerical analysis for a hybrid tumor model with diffusion depending on vasculature. (English) Zbl 1475.35352 J. Math. Anal. Appl. 503, No. 2, Article ID 125325, 29 p. (2021). MSC: 35Q92 92C37 92C35 35K10 35D30 35D35 35B45 65M60 65M06 65N30 PDFBibTeX XMLCite \textit{A. Fernández-Romero} et al., J. Math. Anal. Appl. 503, No. 2, Article ID 125325, 29 p. (2021; Zbl 1475.35352) Full Text: DOI arXiv
Elliott, Charles M.; Hatcher, Luke; Herbert, Philip J. Small deformations of spherical biomembranes. (English) Zbl 1473.35595 Giga, Yoshikazu (ed.) et al., The role of metrics in the theory of partial differential equations. Proceedings of the 11th Mathematical Society of Japan, Seasonal Institute (MSJ-SI), Nagoya University, Japan, July 2–13 2018. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 85, 39-61 (2021). MSC: 35Q92 92C37 92C05 74L15 49M41 35B38 35R09 35Q56 65K10 65N30 PDFBibTeX XMLCite \textit{C. M. Elliott} et al., Adv. Stud. Pure Math. 85, 39--61 (2021; Zbl 1473.35595) Full Text: DOI arXiv
Bakurskiy, S. V.; Klenov, N. V.; Kupriyanov, M. Yu.; Soloviev, I. I.; Khapaev, M. M. Extraction of inductances and spatial distributions of currents in a model of superconducting neuron. (English. Russian original) Zbl 1469.82040 Comput. Math. Math. Phys. 61, No. 5, 854-863 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 5, 885-894 (2021). MSC: 82D55 35Q60 35Q82 92B20 82M10 65N30 PDFBibTeX XMLCite \textit{S. V. Bakurskiy} et al., Comput. Math. Math. Phys. 61, No. 5, 854--863 (2021; Zbl 1469.82040); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 5, 885--894 (2021) Full Text: DOI
Bukač, Martina; Seboldt, Anyastassia; Trenchea, Catalin Refactorization of Cauchy’s method: a second-order partitioned method for fluid-thick structure interaction problems. (English) Zbl 1477.65155 J. Math. Fluid Mech. 23, No. 3, Paper No. 64, 25 p. (2021). MSC: 65M60 65M06 65N30 65M12 74F10 76Z05 92C35 PDFBibTeX XMLCite \textit{M. Bukač} et al., J. Math. Fluid Mech. 23, No. 3, Paper No. 64, 25 p. (2021; Zbl 1477.65155) Full Text: DOI arXiv
Barnafi, Nicolás; Zunino, Paolo; Dedè, Luca; Quarteroni, Alfio Mathematical analysis and numerical approximation of a general linearized poro-hyperelastic model. (English) Zbl 1524.65512 Comput. Math. Appl. 91, 202-228 (2021). MSC: 65M60 65N30 76D07 76S05 76M10 65N12 65M06 76M20 74S05 74S20 65D05 74B10 35A01 35A02 65N15 92C10 74L15 35Q92 35Q74 35Q35 PDFBibTeX XMLCite \textit{N. Barnafi} et al., Comput. Math. Appl. 91, 202--228 (2021; Zbl 1524.65512) Full Text: DOI
Dutta, Jogen; Deka, Bhupen Optimal a priori error estimates for the finite element approximation of dual-phase-lag bio heat model in heterogeneous medium. (English) Zbl 1472.65120 J. Sci. Comput. 87, No. 2, Paper No. 58, 32 p. (2021). MSC: 65M60 65M06 65N30 65M15 35L05 35B45 92C05 35Q79 35Q92 PDFBibTeX XMLCite \textit{J. Dutta} and \textit{B. Deka}, J. Sci. Comput. 87, No. 2, Paper No. 58, 32 p. (2021; Zbl 1472.65120) Full Text: DOI
Kósa, Balázs; Mikula, Karol; Olunna Uba, Markjoe; Weberling, Antonia; Christodoulou, Neophytos; Zernicka-Goetz, Magdalena 3D image segmentation supported by a point cloud. (English) Zbl 1471.65148 Discrete Contin. Dyn. Syst., Ser. S 14, No. 3, 971-985 (2021). MSC: 65M60 65M06 65N30 65D18 65Y20 68U10 92C55 35Q92 PDFBibTeX XMLCite \textit{B. Kósa} et al., Discrete Contin. Dyn. Syst., Ser. S 14, No. 3, 971--985 (2021; Zbl 1471.65148) Full Text: DOI
Bucelli, Michele; Salvador, Matteo; Dede’, Luca; Quarteroni, Alfio Multipatch isogeometric analysis for electrophysiology: simulation in a human heart. (English) Zbl 1506.74391 Comput. Methods Appl. Mech. Eng. 376, Article ID 113666, 31 p. (2021). MSC: 74S05 74L15 65N30 65D07 74S22 92C30 PDFBibTeX XMLCite \textit{M. Bucelli} et al., Comput. Methods Appl. Mech. Eng. 376, Article ID 113666, 31 p. (2021; Zbl 1506.74391) Full Text: DOI
Tajdari, Mahsa; Pawar, Aishwarya; Li, Hengyang; Tajdari, Farzam; Maqsood, Ayesha; Cleary, Emmett; Saha, Sourav; Zhang, Yongjie Jessica; Sarwark, John F.; Liu, Wing Kam Image-based modelling for adolescent idiopathic scoliosis: mechanistic machine learning analysis and prediction. (English) Zbl 1506.92016 Comput. Methods Appl. Mech. Eng. 374, Article ID 113590, 30 p. (2021). MSC: 92C32 92C55 65N30 PDFBibTeX XMLCite \textit{M. Tajdari} et al., Comput. Methods Appl. Mech. Eng. 374, Article ID 113590, 30 p. (2021; Zbl 1506.92016) Full Text: DOI
Colmenares, Eligio; Gatica, Gabriel N.; Miranda, Willian Analysis of an augmented fully-mixed finite element method for a bioconvective flows model. (English) Zbl 1468.65186 J. Comput. Appl. Math. 393, Article ID 113504, 25 p. (2021). MSC: 65N30 65N12 65N15 76D05 76T20 76M10 92C17 35Q35 35Q92 PDFBibTeX XMLCite \textit{E. Colmenares} et al., J. Comput. Appl. Math. 393, Article ID 113504, 25 p. (2021; Zbl 1468.65186) Full Text: DOI
Deka, Bhupen; Dutta, Jogen \(L^\infty (L^2)\) and \(L^\infty (H^1)\) norms error estimates in finite element methods for electric interface model. (English) Zbl 1468.65139 Appl. Anal. 100, No. 6, 1351-1370 (2021). MSC: 65M60 65M06 65N30 65N15 35B65 78A70 78A40 92C37 PDFBibTeX XMLCite \textit{B. Deka} and \textit{J. Dutta}, Appl. Anal. 100, No. 6, 1351--1370 (2021; Zbl 1468.65139) Full Text: DOI
Mackenzie, John; Rowlatt, Christopher; Insall, Robert A conservative finite element ALE scheme for mass-conservative reaction-diffusion equations on evolving two-dimensional domains. (English) Zbl 1472.65124 SIAM J. Sci. Comput. 43, No. 1, B132-B166 (2021). Reviewer: Dana Černá (Liberec) MSC: 65M60 65M06 65N30 65M50 35K57 35K61 65M12 92C17 92C37 92-08 PDFBibTeX XMLCite \textit{J. Mackenzie} et al., SIAM J. Sci. Comput. 43, No. 1, B132--B166 (2021; Zbl 1472.65124) Full Text: DOI arXiv
Fakih, Hussein; Mghames, Ragheb; Nasreddine, Noura On the Cahn-Hilliard equation with mass source for biological applications. (English) Zbl 1460.35351 Commun. Pure Appl. Anal. 20, No. 2, 495-510 (2021). MSC: 35Q92 92C37 65M60 65M06 65N30 65M12 65M15 35B35 35J60 35A01 35A02 68U05 PDFBibTeX XMLCite \textit{H. Fakih} et al., Commun. Pure Appl. Anal. 20, No. 2, 495--510 (2021; Zbl 1460.35351) Full Text: DOI
Liu, Xinfei; Yang, Xiaoyuan Mixed finite element method for the nonlinear time-fractional stochastic fourth-order reaction-diffusion equation. (English) Zbl 1524.65570 Comput. Math. Appl. 84, 39-55 (2021). MSC: 65M60 65M06 65N30 35R11 65M12 60H15 35Q92 92C10 74K15 74L15 78A20 92C37 92C05 76Q05 PDFBibTeX XMLCite \textit{X. Liu} and \textit{X. Yang}, Comput. Math. Appl. 84, 39--55 (2021; Zbl 1524.65570) Full Text: DOI