Kusch, Jonas; Schlachter, Louisa Oscillation mitigation of hyperbolicity-preserving intrusive uncertainty quantification methods for systems of conservation laws. (English) Zbl 07396394 J. Comput. Appl. Math. 400, Article ID 113714, 24 p. (2022). MSC: 35L60 35Q31 35Q62 37L65 65M08 65M60 PDF BibTeX XML Cite \textit{J. Kusch} and \textit{L. Schlachter}, J. Comput. Appl. Math. 400, Article ID 113714, 24 p. (2022; Zbl 07396394) Full Text: DOI OpenURL
Engström, C.; Giani, S.; Grubišić, L. Higher order composite DG approximations of Gross-Pitaevskii ground state: benchmark results and experiments. (English) Zbl 07396389 J. Comput. Appl. Math. 400, Article ID 113652, 15 p. (2022). MSC: 65N35 65M60 78M10 PDF BibTeX XML Cite \textit{C. Engström} et al., J. Comput. Appl. Math. 400, Article ID 113652, 15 p. (2022; Zbl 07396389) Full Text: DOI OpenURL
Solano, Manuel; Vargas M., Felipe An unfitted HDG method for Oseen equations. (English) Zbl 07389256 J. Comput. Appl. Math. 399, Article ID 113721, 18 p. (2022). MSC: 65N30 65N12 65N15 PDF BibTeX XML Cite \textit{M. Solano} and \textit{F. Vargas M.}, J. Comput. Appl. Math. 399, Article ID 113721, 18 p. (2022; Zbl 07389256) Full Text: DOI OpenURL
Ferreira, J. A.; Pinto, L.; Santos, R. F. Numerical analysis of a porous-elastic model for convection enhanced drug delivery. (English) Zbl 07389254 J. Comput. Appl. Math. 399, Article ID 113719, 19 p. (2022). MSC: 65N06 65M12 65M60 PDF BibTeX XML Cite \textit{J. A. Ferreira} et al., J. Comput. Appl. Math. 399, Article ID 113719, 19 p. (2022; Zbl 07389254) Full Text: DOI OpenURL
Muftu, Sinan Finite element method (to appear). (English) Zbl 07383838 Amsterdam: Elsevier (ISBN 978-0-12-821127-4/pbk). 330 p. (2022). MSC: 65-01 74-01 80-01 65N30 65M60 74S05 80M10 74B05 80A19 PDF BibTeX XML Cite \textit{S. Muftu}, Finite element method (to appear). Amsterdam: Elsevier (2022; Zbl 07383838) OpenURL
Bai, Yong; Paik, Jeom Finite element methods. Engineering applications (to appear). (English) Zbl 07279533 Ship and Offshore Structural Mechanics 1. Hackensack, NJ: World Scientific (ISBN 978-981-12-1904-7/hbk). 300 p. (2022). MSC: 65-02 65M60 65M22 74S05 74Kxx 35Q74 PDF BibTeX XML Cite \textit{Y. Bai} and \textit{J. Paik}, Finite element methods. Engineering applications (to appear). Hackensack, NJ: World Scientific (2022; Zbl 07279533) Full Text: DOI OpenURL
Jha, N.; Wagley, M. Numerical algorithm for coupled viscous Burger’s equation using quasi-variable meshes compact operators. (English) Zbl 07397352 Azerb. J. Math., Spec. Iss., 145-156 (2021). MSC: 65M60 65M12 65M06 PDF BibTeX XML Cite \textit{N. Jha} and \textit{M. Wagley}, Azerb. J. Math., 145--156 (2021; Zbl 07397352) Full Text: Link OpenURL
Peng, Ruifei; He, Yiqian; Yang, Haitian An efficient numerical method to solve inverse fuzzy-uncertain viscoelastic problems of identification. (English) Zbl 07397021 Inverse Probl. Sci. Eng. 29, No. 7, 920-943 (2021). MSC: 65N21 35Q74 74G75 PDF BibTeX XML Cite \textit{R. Peng} et al., Inverse Probl. Sci. Eng. 29, No. 7, 920--943 (2021; Zbl 07397021) Full Text: DOI OpenURL
Hu, Zhuyou; Xie, Jianing; Zhao, Jinlong; Sun, Yixiao; Xiang, Zhihai Identify the distribution of 2D residual stresses around notches based on the Willis-form equations. (English) Zbl 07397013 Inverse Probl. Sci. Eng. 29, No. 5, 736-758 (2021). MSC: 74B05 74G75 35Q74 65N21 PDF BibTeX XML Cite \textit{Z. Hu} et al., Inverse Probl. Sci. Eng. 29, No. 5, 736--758 (2021; Zbl 07397013) Full Text: DOI OpenURL
Kronbichler, Martin The discontinuous Galerkin method: derivation and properties. (English) Zbl 07396970 Kronbichler, Martin (ed.) et al., Efficient high-order discretizations for computational fluid dynamics. Selected papers based on the presentations at the summer school, Udine, Italy, July 16–20, 2018. Cham: Springer. CISM Courses Lect. 602, 1-55 (2021). MSC: 76M10 76M12 76N15 76L05 PDF BibTeX XML Cite \textit{M. Kronbichler}, CISM Courses Lect. 602, 1--55 (2021; Zbl 07396970) Full Text: DOI OpenURL
Holtmannspötter, Marita; Rösch, Arnd; Vexler, Boris A priori error estimates for the space-time finite element discretization of an optimal control problem governed by a coupled linear PDE-ODE system. (English) Zbl 07396842 Math. Control Relat. Fields 11, No. 3, 601-624 (2021). MSC: 49M25 65J10 65M15 65M60 PDF BibTeX XML Cite \textit{M. Holtmannspötter} et al., Math. Control Relat. Fields 11, No. 3, 601--624 (2021; Zbl 07396842) Full Text: DOI OpenURL
Majumder, Papri Unified error analysis of discontinuous Galerkin methods for parabolic obstacle problem. (English) Zbl 07396173 Appl. Math., Praha 66, No. 5, 673-699 (2021). MSC: 65N30 65N15 PDF BibTeX XML Cite \textit{P. Majumder}, Appl. Math., Praha 66, No. 5, 673--699 (2021; Zbl 07396173) Full Text: DOI OpenURL
Baustian, Falko; Filipová, Kateřina; Pospíšil, Jan Solution of option pricing equations using orthogonal polynomial expansion. (English) Zbl 07396167 Appl. Math., Praha 66, No. 4, 553-582 (2021). MSC: 33C45 65M60 91G20 91G60 PDF BibTeX XML Cite \textit{F. Baustian} et al., Appl. Math., Praha 66, No. 4, 553--582 (2021; Zbl 07396167) Full Text: DOI OpenURL
Mu, Lin; Ye, Xiu; Zhang, Shangyou Development of pressure-robust discontinuous Galerkin finite element methods for the Stokes problem. (English) Zbl 07395838 J. Sci. Comput. 89, No. 1, Paper No. 26, 25 p. (2021). MSC: 65N15 65N30 76D07 35B45 35J50 PDF BibTeX XML Cite \textit{L. Mu} et al., J. Sci. Comput. 89, No. 1, Paper No. 26, 25 p. (2021; Zbl 07395838) Full Text: DOI OpenURL
Benedusi, Pietro; Ferrari, Paola; Garoni, Carlo; Krause, Rolf; Serra-Capizzano, Stefano Fast parallel solver for the space-time IgA-DG discretization of the diffusion equation. (English) Zbl 07395832 J. Sci. Comput. 89, No. 1, Paper No. 20, 21 p. (2021). MSC: 65M60 65F08 65M55 65Y05 47B06 35Q79 PDF BibTeX XML Cite \textit{P. Benedusi} et al., J. Sci. Comput. 89, No. 1, Paper No. 20, 21 p. (2021; Zbl 07395832) Full Text: DOI OpenURL
Zhu, Hongqiang; Wang, Haiyun; Gao, Zhen A new troubled-cell indicator for discontinuous Galerkin methods using K-means clustering. (English) Zbl 07395802 SIAM J. Sci. Comput. 43, No. 4, A3009-A3031 (2021). MSC: 65M60 65M99 35L65 PDF BibTeX XML Cite \textit{H. Zhu} et al., SIAM J. Sci. Comput. 43, No. 4, A3009--A3031 (2021; Zbl 07395802) Full Text: DOI OpenURL
Madine, K. H.; Colquitt, D. J. Dynamic Green’s functions in discrete flexural systems. (English) Zbl 07395789 Q. J. Mech. Appl. Math. 74, No. 3, 323-350 (2021). MSC: 74J99 74K10 74S05 PDF BibTeX XML Cite \textit{K. H. Madine} and \textit{D. J. Colquitt}, Q. J. Mech. Appl. Math. 74, No. 3, 323--350 (2021; Zbl 07395789) Full Text: DOI OpenURL
Ashby, B.; Bortolozo, C.; Lukyanov, A.; Pryer, T. Adaptive modelling of variably saturated seepage problems. (English) Zbl 07395784 Q. J. Mech. Appl. Math. 74, No. 1, 55-81 (2021). MSC: 76M10 76S05 65N30 65N15 86A05 PDF BibTeX XML Cite \textit{B. Ashby} et al., Q. J. Mech. Appl. Math. 74, No. 1, 55--81 (2021; Zbl 07395784) Full Text: DOI OpenURL
Cejas, María E.; Durán, Ricardo G.; Prieto, Mariana I. Mixed methods for degenerate elliptic problems and application to fractional Laplacian. (English) Zbl 07395697 ESAIM, Math. Model. Numer. Anal. 55, Suppl., 993-1019 (2021). MSC: 65N30 35J70 PDF BibTeX XML Cite \textit{M. E. Cejas} et al., ESAIM, Math. Model. Numer. Anal. 55, 993--1019 (2021; Zbl 07395697) Full Text: DOI OpenURL
Burman, Erik; Feizmohammadi, Ali; Münch, Arnaud; Oksanen, Lauri Space time stabilized finite element methods for a unique continuation problem subject to the wave equation. (English) Zbl 07395696 ESAIM, Math. Model. Numer. Anal. 55, Suppl., 969-991 (2021). MSC: 65M32 35R30 PDF BibTeX XML Cite \textit{E. Burman} et al., ESAIM, Math. Model. Numer. Anal. 55, 969--991 (2021; Zbl 07395696) Full Text: DOI OpenURL
Tang, Xialan; Liu, Zhibin; Zhang, Baiju; Feng, Minfu On the locking-free three-field virtual element methods for Biot’s consolidation model in poroelasticity. (English) Zbl 07395694 ESAIM, Math. Model. Numer. Anal. 55, Suppl., 909-939 (2021). MSC: 65M12 65M60 PDF BibTeX XML Cite \textit{X. Tang} et al., ESAIM, Math. Model. Numer. Anal. 55, 909--939 (2021; Zbl 07395694) Full Text: DOI OpenURL
Ojea, Ignacio Optimal a priori error estimates in weighted Sobolev spaces for the Poisson problem with singular sources. (English) Zbl 07395693 ESAIM, Math. Model. Numer. Anal. 55, Suppl., 879-907 (2021). MSC: 35J05 65N30 65N12 65N15 65Y20 PDF BibTeX XML Cite \textit{I. Ojea}, ESAIM, Math. Model. Numer. Anal. 55, 879--907 (2021; Zbl 07395693) Full Text: DOI OpenURL
Zhang, Shangyou Erratum to: “A C1-P2 finite element without nodal basis”. (English) Zbl 07395692 ESAIM, Math. Model. Numer. Anal. 55, Suppl., 877-878 (2021). MSC: 65N30 73C35 65N12 35J40 65N50 PDF BibTeX XML Cite \textit{S. Zhang}, ESAIM, Math. Model. Numer. Anal. 55, 877--878 (2021; Zbl 07395692) Full Text: DOI OpenURL
Bertoluzza, Silvia; Prada, Daniele A polygonal discontinuous Galerkin method with minus one stabilization. (English) Zbl 07395689 ESAIM, Math. Model. Numer. Anal. 55, Suppl., 785-810 (2021). MSC: 65N12 65N30 PDF BibTeX XML Cite \textit{S. Bertoluzza} and \textit{D. Prada}, ESAIM, Math. Model. Numer. Anal. 55, 785--810 (2021; Zbl 07395689) Full Text: DOI OpenURL
Hellman, Fredrik; Målqvist, Axel; Wang, Siyang Numerical upscaling for heterogeneous materials in fractured domains. (English) Zbl 07395688 ESAIM, Math. Model. Numer. Anal. 55, Suppl., 761-784 (2021). MSC: 35J15 65N12 65N15 65N30 PDF BibTeX XML Cite \textit{F. Hellman} et al., ESAIM, Math. Model. Numer. Anal. 55, 761--784 (2021; Zbl 07395688) Full Text: DOI OpenURL
Abgrall, Rémi; Le Mélédo, Élise; Öffner, Philipp General polytopal \(H(\mathrm{div})\)-conformal finite elements and their discretisation spaces. (English) Zbl 07395685 ESAIM, Math. Model. Numer. Anal. 55, Suppl., 677-704 (2021). MSC: 65N30 PDF BibTeX XML Cite \textit{R. Abgrall} et al., ESAIM, Math. Model. Numer. Anal. 55, 677--704 (2021; Zbl 07395685) Full Text: DOI OpenURL
Monk, Peter B.; Rivas, Cinthya; Rodríguez, Rodolfo; Solano, Manuel E. An asymptotic model based on matching far and near field expansions for thin gratings problems. (English) Zbl 07395679 ESAIM, Math. Model. Numer. Anal. 55, Suppl., 507-533 (2021). MSC: 65N30 PDF BibTeX XML Cite \textit{P. B. Monk} et al., ESAIM, Math. Model. Numer. Anal. 55, 507--533 (2021; Zbl 07395679) Full Text: DOI OpenURL
Oyarzúa, Ricardo; Rhebergen, Sander; Solano, Manuel; Zúñiga, Paulo Error analysis of a conforming and locking-free four-field formulation for the stationary Biot’s model. (English) Zbl 07395678 ESAIM, Math. Model. Numer. Anal. 55, Suppl., 475-506 (2021). MSC: 65N30 76S05 74F10 65N15 PDF BibTeX XML Cite \textit{R. Oyarzúa} et al., ESAIM, Math. Model. Numer. Anal. 55, 475--506 (2021; Zbl 07395678) Full Text: DOI OpenURL
Ern, Alexndre; Vohralík, Martin; Zakerzadeh, Mohammad Guaranteed and robust \(L^2 \)-norm a posteriori error estimates for 1D linear advection problems. (English) Zbl 07395677 ESAIM, Math. Model. Numer. Anal. 55, Suppl., 447-474 (2021). MSC: 65N15 65N30 35F05 PDF BibTeX XML Cite \textit{A. Ern} et al., ESAIM, Math. Model. Numer. Anal. 55, 447--474 (2021; Zbl 07395677) Full Text: DOI OpenURL
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 07395676 ESAIM, Math. Model. Numer. Anal. 55, Suppl., 417-445 (2021). MSC: 35Q35 92C17 65M12 65M15 65M60 PDF BibTeX XML Cite \textit{A. Duarte-Rodríguez} et al., ESAIM, Math. Model. Numer. Anal. 55, 417--445 (2021; Zbl 07395676) Full Text: DOI OpenURL
Roubíček, Tomáš; Tsogka, Chrysoula Staggered explicit-implicit time-discretization for elastodynamics with dissipative internal variables. (English) Zbl 07395675 ESAIM, Math. Model. Numer. Anal. 55, Suppl., 397-416 (2021). MSC: 65M12 65P10 65Z05 74C10 74F10 74H15 74R20 74S05 76S05 PDF BibTeX XML Cite \textit{T. Roubíček} and \textit{C. Tsogka}, ESAIM, Math. Model. Numer. Anal. 55, 397--416 (2021; Zbl 07395675) Full Text: DOI OpenURL
Codina, Ramon; Moreno, Laura Analysis of a stabilized finite element approximation for a linearized logarithmic reformulation of the viscoelastic flow problem. (English) Zbl 07395671 ESAIM, Math. Model. Numer. Anal. 55, Suppl., 279-300 (2021). MSC: 65N12 76A10 76M10 PDF BibTeX XML Cite \textit{R. Codina} and \textit{L. Moreno}, ESAIM, Math. Model. Numer. Anal. 55, 279--300 (2021; Zbl 07395671) Full Text: DOI OpenURL
Cherfils, Laurence; Fakih, Hussein; Grasselli, Maurizio; Miranville, Alain A convergent convex splitting scheme for a nonlocal Cahn-Hilliard-Oono type equation with a transport term. (English) Zbl 07395669 ESAIM, Math. Model. Numer. Anal. 55, Suppl., 225-250 (2021). MSC: 34K28 35R09 65M12 65M60 82C26 PDF BibTeX XML Cite \textit{L. Cherfils} et al., ESAIM, Math. Model. Numer. Anal. 55, 225--250 (2021; Zbl 07395669) Full Text: DOI OpenURL
Cai, Wentao; Li, Buyang; Li, Ying Error analysis of a fully discrete finite element method for variable density incompressible flows in two dimensions. (English) Zbl 07395666 ESAIM, Math. Model. Numer. Anal. 55, Suppl., 103-147 (2021). MSC: 65N30 PDF BibTeX XML Cite \textit{W. Cai} et al., ESAIM, Math. Model. Numer. Anal. 55, 103--147 (2021; Zbl 07395666) Full Text: DOI OpenURL
Acosta, Gabriel; Bersetche, Francisco M. Numerical approximations for a fully fractional Allen-Cahn equation. (English) Zbl 07395663 ESAIM, Math. Model. Numer. Anal. 55, Suppl., 3-28 (2021). MSC: 65R20 65M60 35R11 PDF BibTeX XML Cite \textit{G. Acosta} and \textit{F. M. Bersetche}, ESAIM, Math. Model. Numer. Anal. 55, 3--28 (2021; Zbl 07395663) Full Text: DOI OpenURL
Qin, Qing-Hua (ed.) Trefftz and fundamental solution-based finite element methods. (English) Zbl 07395511 Sharjah: Bentham Science Publishers (ISBN 978-981-4998-55-0/print; 978-981-4998-54-3/ebook). ii, 344 p. (2021). MSC: 74-06 65-06 74S05 65M60 65N30 00B15 PDF BibTeX XML Cite \textit{Q.-H. Qin} (ed.), Trefftz and fundamental solution-based finite element methods. Sharjah: Bentham Science Publishers (2021; Zbl 07395511) Full Text: DOI OpenURL
Ansari, Reza; Norouzzadeh, Amir; Rouhi, Hessam Micromorphic continuum theory: finite element analysis of 3D elasticity with applications in beam- and plate-type structures. (English) Zbl 07395366 Ghavanloo, Esmaeal (ed.) et al., Size-dependent continuum mechanics approaches. Theory and applications. Cham: Springer. Springer Tracts Mech. Eng., 339-363 (2021). MSC: 74S05 74A60 74K10 74K20 PDF BibTeX XML Cite \textit{R. Ansari} et al., in: Size-dependent continuum mechanics approaches. Theory and applications. Cham: Springer. 339--363 (2021; Zbl 07395366) Full Text: DOI OpenURL
Tuna, Meral; Leonetti, Lorenzo; Trovalusci, Patrizia; Kirca, Mesut ‘explicit’ and ‘implicit’ non-local continuum descriptions: plate with circular hole. (English) Zbl 07395365 Ghavanloo, Esmaeal (ed.) et al., Size-dependent continuum mechanics approaches. Theory and applications. Cham: Springer. Springer Tracts Mech. Eng., 311-338 (2021). MSC: 74K20 74A35 74B99 74S05 PDF BibTeX XML Cite \textit{M. Tuna} et al., in: Size-dependent continuum mechanics approaches. Theory and applications. Cham: Springer. 311--338 (2021; Zbl 07395365) Full Text: DOI OpenURL
Naghinejad, Maysam; Ovesy, Hamid Reza; Taghizadeh, Mohsen; Ghannadpour, Seyyed Amir Mahdi Finite element nonlocal integral elasticity approach. (English) Zbl 07395364 Ghavanloo, Esmaeal (ed.) et al., Size-dependent continuum mechanics approaches. Theory and applications. Cham: Springer. Springer Tracts Mech. Eng., 261-309 (2021). MSC: 74S05 74Cxx PDF BibTeX XML Cite \textit{M. Naghinejad} et al., in: Size-dependent continuum mechanics approaches. Theory and applications. Cham: Springer. 261--309 (2021; Zbl 07395364) Full Text: DOI OpenURL
Velasco, Arrianne Crystal; Darbas, Marion; Mendoza, Renier Numerical resolution of the electrical impedance tomography inverse problem with fixed inclusions. (English) Zbl 07394915 Int. J. Math. Comput. Sci. 16, No. 3, 1063-1076 (2021). MSC: 65-XX 35R30 65N30 65K10 PDF BibTeX XML Cite \textit{A. C. Velasco} et al., Int. J. Math. Comput. Sci. 16, No. 3, 1063--1076 (2021; Zbl 07394915) Full Text: Link OpenURL
Rahimkhani, Parisa; Ordokhani, Yadollah Orthonormal Bernoulli wavelets neural network method and its application in astrophysics. (English) Zbl 07394360 Comput. Appl. Math. 40, No. 3, Paper No. 78, 24 p. (2021). MSC: 62M45 33C45 65L60 PDF BibTeX XML Cite \textit{P. Rahimkhani} and \textit{Y. Ordokhani}, Comput. Appl. Math. 40, No. 3, Paper No. 78, 24 p. (2021; Zbl 07394360) Full Text: DOI OpenURL
Liu, Yanling; Yang, Xuehua; Zhang, Haixiang; Liu, Yuan Analysis of BDF2 finite difference method for fourth-order integro-differential equation. (English) Zbl 07394339 Comput. Appl. Math. 40, No. 2, Paper No. 57, 20 p. (2021). MSC: 65M60 26A33 PDF BibTeX XML Cite \textit{Y. Liu} et al., Comput. Appl. Math. 40, No. 2, Paper No. 57, 20 p. (2021; Zbl 07394339) Full Text: DOI OpenURL
He, Limin; Han, Weimin; Wang, Fei On a family of discontinuous Galerkin fully-discrete schemes for the wave equation. (English) Zbl 07394338 Comput. Appl. Math. 40, No. 2, Paper No. 56, 24 p. (2021). MSC: 65N30 49J40 PDF BibTeX XML Cite \textit{L. He} et al., Comput. Appl. Math. 40, No. 2, Paper No. 56, 24 p. (2021; Zbl 07394338) Full Text: DOI OpenURL
Fortes, M. A.; Raydan, M.; Sajo-Castelli, A. M. Relationship between quality of basis for surface approximation and the effect of applying preconditioning strategies to their resulting linear systems. (English) Zbl 07394323 Comput. Appl. Math. 40, No. 2, Paper No. 41, 24 p. (2021). MSC: 65D10 41A15 65N08 PDF BibTeX XML Cite \textit{M. A. Fortes} et al., Comput. Appl. Math. 40, No. 2, Paper No. 41, 24 p. (2021; Zbl 07394323) Full Text: DOI OpenURL
Yue, Meiling; Xu, Fei; Ma, Hongkun A novel domain decomposition method for coupled semilinear elliptic equation. (English) Zbl 07394258 Math. Methods Appl. Sci. 44, No. 13, 10387-10402 (2021). MSC: 65N30 65N25 65L15 65B99 PDF BibTeX XML Cite \textit{M. Yue} et al., Math. Methods Appl. Sci. 44, No. 13, 10387--10402 (2021; Zbl 07394258) Full Text: DOI OpenURL
Guillén-Gonzàlez, Francisco; Redondo-Neble, M. Victoria; Rodríguez-Galvàn, J. Rafael Numerical analysis of a stable discontinuous Galerkin scheme for the hydrostatic Stokes problem. (English) Zbl 07394126 J. Numer. Math. 29, No. 2, 103-118 (2021). MSC: 65M60 65M12 35Q35 PDF BibTeX XML Cite \textit{F. Guillén-Gonzàlez} et al., J. Numer. Math. 29, No. 2, 103--118 (2021; Zbl 07394126) Full Text: DOI OpenURL
Dehghan, Mehdi; Gharibi, Zeinab Virtual element method for solving an inhomogeneous Brusselator model with and without cross-diffusion in pattern formation. (English) Zbl 07394066 J. Sci. Comput. 89, No. 1, Paper No. 16, 31 p. (2021). MSC: 34B15 65L60 65M70 PDF BibTeX XML Cite \textit{M. Dehghan} and \textit{Z. Gharibi}, J. Sci. Comput. 89, No. 1, Paper No. 16, 31 p. (2021; Zbl 07394066) Full Text: DOI OpenURL
Karatzas, Efthymios N.; Rozza, Gianluigi A reduced order model for a stable embedded boundary parametrized Cahn-Hilliard phase-field system based on cut finite elements. (English) Zbl 07394059 J. Sci. Comput. 89, No. 1, Paper No. 9, 29 p. (2021). MSC: 65Mxx 35Kxx 65Nxx PDF BibTeX XML Cite \textit{E. N. Karatzas} and \textit{G. Rozza}, J. Sci. Comput. 89, No. 1, Paper No. 9, 29 p. (2021; Zbl 07394059) Full Text: DOI OpenURL
Han, Weimin; Czuprynski, Kenneth; Jing, Feifei Mixed finite element method for a hemivariational inequality of stationary Navier-Stokes equations. (English) Zbl 07394058 J. Sci. Comput. 89, No. 1, Paper No. 8, 22 p. (2021). MSC: 65N30 76D05 47J20 PDF BibTeX XML Cite \textit{W. Han} et al., J. Sci. Comput. 89, No. 1, Paper No. 8, 22 p. (2021; Zbl 07394058) Full Text: DOI OpenURL
Liu, Xinyuan; Yang, Yang; Guo, Hui High-order bound-preserving finite difference methods for incompressible wormhole propagation. (English) Zbl 07394057 J. Sci. Comput. 89, No. 1, Paper No. 7, 23 p. (2021). MSC: 65M15 65M60 PDF BibTeX XML Cite \textit{X. Liu} et al., J. Sci. Comput. 89, No. 1, Paper No. 7, 23 p. (2021; Zbl 07394057) Full Text: DOI OpenURL
El Moutea, Omar; El Amri, Hassan Combined mixed finite element and nonconforming finite volume methods for flow and transport in porous media. (English) Zbl 07394039 Analysis, München 41, No. 3, 123-144 (2021). MSC: 65N30 76M12 76S05 PDF BibTeX XML Cite \textit{O. El Moutea} and \textit{H. El Amri}, Analysis, München 41, No. 3, 123--144 (2021; Zbl 07394039) Full Text: DOI OpenURL
Liang, Conggang; Wang, Junjun Superconvergence analysis of nonconforming \(EQ_1^{rot}\) element for nonlinear parabolic integro-differential equation. (English) Zbl 07393735 Math. Methods Appl. Sci. 44, No. 14, 11684-11701 (2021). MSC: 65N15 65N30 PDF BibTeX XML Cite \textit{C. Liang} and \textit{J. Wang}, Math. Methods Appl. Sci. 44, No. 14, 11684--11701 (2021; Zbl 07393735) Full Text: DOI OpenURL
El Yazidi, Youness; Ellabib, Abdellatif An iterative method for optimal control of bilateral free boundaries problem. (English) Zbl 07393734 Math. Methods Appl. Sci. 44, No. 14, 11664-11683 (2021). MSC: 49N45 49Q10 65J20 65L50 65L60 90C59 PDF BibTeX XML Cite \textit{Y. El Yazidi} and \textit{A. Ellabib}, Math. Methods Appl. Sci. 44, No. 14, 11664--11683 (2021; Zbl 07393734) Full Text: DOI OpenURL
Fan, Bin; Xu, Chuanju Identifying source term in the subdiffusion equation with \(L^2\)-TV regularization. (English) Zbl 07393232 Inverse Probl. 37, No. 10, Article ID 105008, 33 p. (2021). MSC: 65Mxx 35Rxx 65Nxx PDF BibTeX XML Cite \textit{B. Fan} and \textit{C. Xu}, Inverse Probl. 37, No. 10, Article ID 105008, 33 p. (2021; Zbl 07393232) Full Text: DOI OpenURL
Sultanov, L. U. Computational algorithm for investigation large elastoplastic deformations with contact interaction. (English) Zbl 07392326 Lobachevskii J. Math. 42, No. 8, 2056-2063 (2021). MSC: 74S05 74M15 74C15 PDF BibTeX XML Cite \textit{L. U. Sultanov}, Lobachevskii J. Math. 42, No. 8, 2056--2063 (2021; Zbl 07392326) Full Text: DOI OpenURL
Saporito, Yuri F.; Zhang, Zhaoyu Path-dependent deep Galerkin method: a neural network approach to solve path-dependent partial differential equations. (English) Zbl 07392183 SIAM J. Financ. Math. 12, No. 3, 912-940 (2021). MSC: 91G60 65M60 PDF BibTeX XML Cite \textit{Y. F. Saporito} and \textit{Z. Zhang}, SIAM J. Financ. Math. 12, No. 3, 912--940 (2021; Zbl 07392183) Full Text: DOI OpenURL
Abbaszadeh, Mostafa; Dehghan, Mehdi; Azis, Mohammad Ivan The meshless local Petrov-Galerkin method based on moving Taylor polynomial approximation to investigate unsteady diffusion-convection problems of anisotropic functionally graded materials related to incompressible flow. (English) Zbl 07391017 Eng. Anal. Bound. Elem. 132, 469-480 (2021). MSC: 35R60 60H15 65M60 PDF BibTeX XML Cite \textit{M. Abbaszadeh} et al., Eng. Anal. Bound. Elem. 132, 469--480 (2021; Zbl 07391017) Full Text: DOI OpenURL
Sheng, Qiwei; Hauck, Cory D. Uniform convergence of an upwind discontinuous Galerkin method for solving scaled discrete-ordinate radiative transfer equations with isotropic scattering. (English) Zbl 07390212 Math. Comput. 90, No. 332, 2645-2669 (2021). MSC: 65N12 65N30 35B40 35B45 35L40 PDF BibTeX XML Cite \textit{Q. Sheng} and \textit{C. D. Hauck}, Math. Comput. 90, No. 332, 2645--2669 (2021; Zbl 07390212) Full Text: DOI OpenURL
Grote, Marcus J.; Michel, Simon; Sauter, Stefan A. Stabilized leapfrog based local time-stepping method for the wave equation. (English) Zbl 07390211 Math. Comput. 90, No. 332, 2603-2643 (2021). MSC: 65M12 65M20 65M60 65L06 65L20 PDF BibTeX XML Cite \textit{M. J. Grote} et al., Math. Comput. 90, No. 332, 2603--2643 (2021; Zbl 07390211) Full Text: DOI OpenURL
Bartels, Sören Error estimates for a class of discontinuous Galerkin methods for nonsmooth problems via convex duality relations. (English) Zbl 07390210 Math. Comput. 90, No. 332, 2579-2602 (2021). MSC: 65N12 65N15 65N30 PDF BibTeX XML Cite \textit{S. Bartels}, Math. Comput. 90, No. 332, 2579--2602 (2021; Zbl 07390210) Full Text: DOI OpenURL
Yang, Jiming; Su, Yifan A two-grid combined mixed finite element and discontinuous Galerkin method for an incompressible miscible displacement problem in porous media. (English) Zbl 07389378 J. Sci. Comput. 88, No. 3, Paper No. 81, 24 p. (2021). MSC: 65M12 65M60 PDF BibTeX XML Cite \textit{J. Yang} and \textit{Y. Su}, J. Sci. Comput. 88, No. 3, Paper No. 81, 24 p. (2021; Zbl 07389378) Full Text: DOI OpenURL
Wang, Yang; Chen, Yanping; Huang, Yunqing; Yi, Huaming A family of two-grid partially penalized immersed finite element methods for semi-linear parabolic interface problems. (English) Zbl 07389377 J. Sci. Comput. 88, No. 3, Paper No. 80, 39 p. (2021). MSC: 65Mxx 65Nxx PDF BibTeX XML Cite \textit{Y. Wang} et al., J. Sci. Comput. 88, No. 3, Paper No. 80, 39 p. (2021; Zbl 07389377) Full Text: DOI OpenURL
Li, Yuwen Recovery-based a posteriori error analysis for plate bending problems. (English) Zbl 07389374 J. Sci. Comput. 88, No. 3, Paper No. 77, 26 p. (2021). MSC: 65N15 65N30 PDF BibTeX XML Cite \textit{Y. Li}, J. Sci. Comput. 88, No. 3, Paper No. 77, 26 p. (2021; Zbl 07389374) Full Text: DOI OpenURL
Qi, Longzhao; Hou, Yanren A second order energy stable BDF numerical scheme for the Swift-Hohenberg equation. (English) Zbl 07389371 J. Sci. Comput. 88, No. 3, Paper No. 74, 25 p. (2021). MSC: 65Mxx 65Nxx 35Kxx PDF BibTeX XML Cite \textit{L. Qi} and \textit{Y. Hou}, J. Sci. Comput. 88, No. 3, Paper No. 74, 25 p. (2021; Zbl 07389371) Full Text: DOI OpenURL
Ding, Qianqian; Long, Xiaonian; Mao, Shipeng Error estimate of a fully discrete finite element method for incompressible vector potential magnetohydrodynamic system. (English) Zbl 07389368 J. Sci. Comput. 88, No. 3, Paper No. 71, 24 p. (2021). MSC: 65Nxx 76Mxx 76Wxx PDF BibTeX XML Cite \textit{Q. Ding} et al., J. Sci. Comput. 88, No. 3, Paper No. 71, 24 p. (2021; Zbl 07389368) Full Text: DOI OpenURL
Li, Buyang; Ma, Shu; Wang, Na Second-order convergence of the linearly extrapolated Crank-Nicolson method for the Navier-Stokes equations with \(\mathrm{H}^1\) initial data. (English) Zbl 07389367 J. Sci. Comput. 88, No. 3, Paper No. 70, 20 p. (2021). MSC: 65M12 65M15 65M60 76D05 PDF BibTeX XML Cite \textit{B. Li} et al., J. Sci. Comput. 88, No. 3, Paper No. 70, 20 p. (2021; Zbl 07389367) Full Text: DOI OpenURL
Yan, Yuyuan; Egwu, Bernard A.; Liang, Zongqi; Yan, Yubin Error estimates of a continuous Galerkin time stepping method for subdiffusion problem. (English) Zbl 07389365 J. Sci. Comput. 88, No. 3, Paper No. 68, 30 p. (2021). MSC: 65M15 65M60 65M12 45K05 PDF BibTeX XML Cite \textit{Y. Yan} et al., J. Sci. Comput. 88, No. 3, Paper No. 68, 30 p. (2021; Zbl 07389365) Full Text: DOI OpenURL
Fu, Taibai; Duan, Beiping; Zheng, Zhoushun An effective finite element method with singularity reconstruction for fractional convection-diffusion equation. (English) Zbl 07389356 J. Sci. Comput. 88, No. 3, Paper No. 59, 18 p. (2021). MSC: 65Nxx 26A33 65N12 65N30 PDF BibTeX XML Cite \textit{T. Fu} et al., J. Sci. Comput. 88, No. 3, Paper No. 59, 18 p. (2021; Zbl 07389356) Full Text: DOI OpenURL
Giani, Stefano; Grubišić, Luka; Hakula, Harri; Ovall, Jeffrey S. A posteriori error estimates for elliptic eigenvalue problems using auxiliary subspace techniques. (English) Zbl 07389352 J. Sci. Comput. 88, No. 3, Paper No. 55, 25 p. (2021). MSC: 65N30 65N15 65N50 PDF BibTeX XML Cite \textit{S. Giani} et al., J. Sci. Comput. 88, No. 3, Paper No. 55, 25 p. (2021; Zbl 07389352) Full Text: DOI OpenURL
Khan, Arbaz; Mohan, Manil T.; Ruiz-Baier, Ricardo Conforming, nonconforming and DG methods for the stationary generalized Burgers-Huxley equation. (English) Zbl 07389349 J. Sci. Comput. 88, No. 3, Paper No. 52, 26 p. (2021). MSC: 65N15 65N30 35J66 65J15 PDF BibTeX XML Cite \textit{A. Khan} et al., J. Sci. Comput. 88, No. 3, Paper No. 52, 26 p. (2021; Zbl 07389349) Full Text: DOI OpenURL
Duru, Kenneth; Rannabauer, Leonhard; Gabriel, Alice-Agnes; Igel, Heiner A new discontinuous Galerkin method for elastic waves with physically motivated numerical fluxes. (English) Zbl 07389348 J. Sci. Comput. 88, No. 3, Paper No. 51, 32 p. (2021). MSC: 65-XX 35F55 35F46 65M60 65M70 65M12 65M15 PDF BibTeX XML Cite \textit{K. Duru} et al., J. Sci. Comput. 88, No. 3, Paper No. 51, 32 p. (2021; Zbl 07389348) Full Text: DOI OpenURL
Lepe, Felipe; Mora, David; Rivera, Gonzalo; Velásquez, Iván A virtual element method for the Steklov eigenvalue problem allowing small edges. (English) Zbl 07389341 J. Sci. Comput. 88, No. 2, Paper No. 44, 21 p. (2021). MSC: 35Q35 65N15 65N25 65N30 76B15 PDF BibTeX XML Cite \textit{F. Lepe} et al., J. Sci. Comput. 88, No. 2, Paper No. 44, 21 p. (2021; Zbl 07389341) Full Text: DOI OpenURL
de Frutos, Javier; García-Archilla, Bosco; Novo, Julia Corrigenda to: “Fully discrete approximations to the time-dependent Navier-Stokes equations with a projection method in time and Grad-div stabilization”. (English) Zbl 07389337 J. Sci. Comput. 88, No. 2, Paper No. 40, 3 p. (2021). MSC: 65-XX 46Exx 46-XX PDF BibTeX XML Cite \textit{J. de Frutos} et al., J. Sci. Comput. 88, No. 2, Paper No. 40, 3 p. (2021; Zbl 07389337) Full Text: DOI OpenURL
Zhang, Xiaodi; Ding, Qianqian Coupled iterative analysis for stationary inductionless magnetohydrodynamic system based on charge-conservative finite element method. (English) Zbl 07389336 J. Sci. Comput. 88, No. 2, Paper No. 39, 32 p. (2021). MSC: 65M12 65N30 76M10 PDF BibTeX XML Cite \textit{X. Zhang} and \textit{Q. Ding}, J. Sci. Comput. 88, No. 2, Paper No. 39, 32 p. (2021; Zbl 07389336) Full Text: DOI OpenURL
Allendes, Alejandro; Fuica, Francisco; Otarola, Enrique; Quero, Daniel A posteriori error estimates for a distributed optimal control problem of the stationary Navier-Stokes equations. (English) Zbl 07389166 SIAM J. Control Optim. 59, No. 4, 2898-2923 (2021). MSC: 35Q35 35Q30 49M05 49M25 65N15 65N30 65N50 PDF BibTeX XML Cite \textit{A. Allendes} et al., SIAM J. Control Optim. 59, No. 4, 2898--2923 (2021; Zbl 07389166) Full Text: DOI OpenURL
Berchenko-Kogan, Yakov; Stern, Ari Charge-conserving hybrid methods for the Yang-Mills equations. (English) Zbl 07388499 SMAI J. Comput. Math. 7, 97-119 (2021). MSC: 65M60 PDF BibTeX XML Cite \textit{Y. Berchenko-Kogan} and \textit{A. Stern}, SMAI J. Comput. Math. 7, 97--119 (2021; Zbl 07388499) Full Text: DOI OpenURL
Li, Can; Li, Min-Min; Sun, Xiaorui Finite difference/Galerkin finite element methods for a fractional heat conduction-transfer equation. (English) Zbl 07387600 Math. Methods Appl. Sci. 44, No. 10, 8302-8321 (2021). MSC: 26A33 35R11 65M06 65M12 PDF BibTeX XML Cite \textit{C. Li} et al., Math. Methods Appl. Sci. 44, No. 10, 8302--8321 (2021; Zbl 07387600) Full Text: DOI OpenURL
Zhang, Ruming Numerical methods for scattering problems in periodic waveguides. (English) Zbl 07387440 Numer. Math. 148, No. 4, 959-996 (2021). MSC: 65-XX 35P25 35A35 65M60 PDF BibTeX XML Cite \textit{R. Zhang}, Numer. Math. 148, No. 4, 959--996 (2021; Zbl 07387440) Full Text: DOI OpenURL
Sánchez, Nestor; Sánchez-Vizuet, Tonatiuh; Solano, Manuel E. A priori and a posteriori error analysis of an unfitted HDG method for semi-linear elliptic problems. (English) Zbl 07387439 Numer. Math. 148, No. 4, 919-958 (2021). MSC: 65N30 65N15 PDF BibTeX XML Cite \textit{N. Sánchez} et al., Numer. Math. 148, No. 4, 919--958 (2021; Zbl 07387439) Full Text: DOI OpenURL
Wu, Kailiang; Shu, Chi-Wang Provably physical-constraint-preserving discontinuous Galerkin methods for multidimensional relativistic MHD equations. (English) Zbl 07387433 Numer. Math. 148, No. 3, 699-741 (2021). MSC: 65M60 65M12 35L65 76W05 PDF BibTeX XML Cite \textit{K. Wu} and \textit{C.-W. Shu}, Numer. Math. 148, No. 3, 699--741 (2021; Zbl 07387433) Full Text: DOI OpenURL
Nguyen, Dong T. P.; Nuyens, Dirk MDFEM: multivariate decomposition finite element method for elliptic PDEs with uniform random diffusion coefficients using higher-order QMC and FEM. (English) Zbl 07387431 Numer. Math. 148, No. 3, 633-669 (2021). MSC: 65D30 65D32 65N30 PDF BibTeX XML Cite \textit{D. T. P. Nguyen} and \textit{D. Nuyens}, Numer. Math. 148, No. 3, 633--669 (2021; Zbl 07387431) Full Text: DOI OpenURL
Chaumont-Frelet, T.; Ern, A.; Vohralík, M. On the derivation of guaranteed and \(p\)-robust a posteriori error estimates for the Helmholtz equation. (English) Zbl 07387428 Numer. Math. 148, No. 3, 525-573 (2021). MSC: 65N15 65N30 35J05 PDF BibTeX XML Cite \textit{T. Chaumont-Frelet} et al., Numer. Math. 148, No. 3, 525--573 (2021; Zbl 07387428) Full Text: DOI OpenURL
Brenner, Susanne C.; Sung, Li-yeng; Tan, Zhiyu; Zhang, Hongchao A convexity enforcing \(C^0\) interior penalty method for the Monge-Ampère equation on convex polygonal domains. (English) Zbl 07387427 Numer. Math. 148, No. 3, 497-524 (2021). MSC: 65N30 65K10 35G30 90C06 90C26 PDF BibTeX XML Cite \textit{S. C. Brenner} et al., Numer. Math. 148, No. 3, 497--524 (2021; Zbl 07387427) Full Text: DOI OpenURL
Kuchta, Miroslav; Mardal, Kent-André; Rognes, Marie E. Solving the EMI equations using finite element methods. (English) Zbl 07387358 Tveito, Aslak (ed.) et al., Modeling excitable tissue. The EMI framework. Cham: Springer. Simula SpringerBriefs Comput. 7, 56-69 (2021). MSC: 92C37 65M60 PDF BibTeX XML Cite \textit{M. Kuchta} et al., Simula SpringerBriefs Comput. 7, 56--69 (2021; Zbl 07387358) Full Text: DOI OpenURL
Zhang, Xuqing; Yang, Yidu; Zhang, Yu A locking-free shifted inverse iteration based on multigrid discretization for the elastic eigenvalue problem. (English) Zbl 07386948 Math. Methods Appl. Sci. 44, No. 7, 5821-5838 (2021). MSC: 65N25 65N30 PDF BibTeX XML Cite \textit{X. Zhang} et al., Math. Methods Appl. Sci. 44, No. 7, 5821--5838 (2021; Zbl 07386948) Full Text: DOI OpenURL
Salvalaglio, Marco; Selch, Maximilian; Voigt, Axel; Wise, Steven M. Doubly degenerate diffuse interface models of anisotropic surface diffusion. (English) Zbl 07386926 Math. Methods Appl. Sci. 44, No. 7, 5406-5417 (2021). MSC: 35Q56 35K65 65M60 PDF BibTeX XML Cite \textit{M. Salvalaglio} et al., Math. Methods Appl. Sci. 44, No. 7, 5406--5417 (2021; Zbl 07386926) Full Text: DOI OpenURL
Salvalaglio, Marco; Voigt, Axel; Wise, Steven M. Doubly degenerate diffuse interface models of surface diffusion. (English) Zbl 07386925 Math. Methods Appl. Sci. 44, No. 7, 5385-5405 (2021). MSC: 35Q56 35K65 65M60 PDF BibTeX XML Cite \textit{M. Salvalaglio} et al., Math. Methods Appl. Sci. 44, No. 7, 5385--5405 (2021; Zbl 07386925) Full Text: DOI OpenURL
Čanić, Sunčica; Wang, Yifan; Bukač, Martina A next-generation mathematical model for drug-eluting stents. (English) Zbl 07385386 SIAM J. Appl. Math. 81, No. 4, 1503-1529 (2021). MSC: 74L15 74F10 76Z05 74S05 76M10 76R99 PDF BibTeX XML Cite \textit{S. Čanić} et al., SIAM J. Appl. Math. 81, No. 4, 1503--1529 (2021; Zbl 07385386) Full Text: DOI OpenURL
Britton, Jolene; Chow, Yat Tin; Chen, Weitao; Xing, Yulong Recovery of a time-dependent bottom topography function from the shallow water equations via an adjoint approach. (English) Zbl 07385006 SIAM J. Sci. Comput. 43, No. 4, A2981-A3008 (2021). MSC: 65-XX 35L60 35L65 35Q35 65M30 65M32 65M60 65K10 PDF BibTeX XML Cite \textit{J. Britton} et al., SIAM J. Sci. Comput. 43, No. 4, A2981--A3008 (2021; Zbl 07385006) Full Text: DOI OpenURL
Croci, Matteo; Giles, Michael; Farrell, Patrick E. Multilevel quasi Monte Carlo methods for elliptic PDEs with random field coefficients via fast white noise sampling. (English) Zbl 07385001 SIAM J. Sci. Comput. 43, No. 4, A2840-A2868 (2021). MSC: 65C05 60G60 65N30 60H35 35R60 PDF BibTeX XML Cite \textit{M. Croci} et al., SIAM J. Sci. Comput. 43, No. 4, A2840--A2868 (2021; Zbl 07385001) Full Text: DOI OpenURL
Ostrowski, Jörg; Hiptmair, Ralf Frequency-stable full Maxwell in electro-quasistatic gauge. (English) Zbl 07384999 SIAM J. Sci. Comput. 43, No. 4, B1008-B1028 (2021). MSC: 35Q61 65N30 65N12 PDF BibTeX XML Cite \textit{J. Ostrowski} and \textit{R. Hiptmair}, SIAM J. Sci. Comput. 43, No. 4, B1008--B1028 (2021; Zbl 07384999) Full Text: DOI OpenURL
He, Yunhui; Rhebergen, Sander; De Sterck, Hans Local Fourier analysis of multigrid for hybridized and embedded discontinuous Galerkin methods. (English) Zbl 07384996 SIAM J. Sci. Comput. 43, No. 4, S612-S636 (2021). MSC: 65F08 65N30 65N55 PDF BibTeX XML Cite \textit{Y. He} et al., SIAM J. Sci. Comput. 43, No. 4, S612--S636 (2021; Zbl 07384996) Full Text: DOI OpenURL
Martin, Matthieu; Nobile, Fabio PDE-constrained optimal control problems with uncertain parameters using SAGA. (English) Zbl 07384779 SIAM/ASA J. Uncertain. Quantif. 9, 979-1012 (2021). MSC: 35Q93 49M99 65C05 65N12 65N30 PDF BibTeX XML Cite \textit{M. Martin} and \textit{F. Nobile}, SIAM/ASA J. Uncertain. Quantif. 9, 979--1012 (2021; Zbl 07384779) Full Text: DOI OpenURL
Schaden, Daniel; Ullmann, Elisabeth Asymptotic analysis of multilevel best linear unbiased estimators. (English) Zbl 07384778 SIAM/ASA J. Uncertain. Quantif. 9, 953-978 (2021). MSC: 65-XX 35R60 62J05 62F12 65N30 65C05 PDF BibTeX XML Cite \textit{D. Schaden} and \textit{E. Ullmann}, SIAM/ASA J. Uncertain. Quantif. 9, 953--978 (2021; Zbl 07384778) Full Text: DOI OpenURL
Zhang, Jin; Liu, Xiaowei Convergence and supercloseness in a balanced norm of finite element methods on Bakhvalov-type meshes for reaction-diffusion problems. (English) Zbl 07384739 J. Sci. Comput. 88, No. 1, Paper No. 27, 19 p. (2021). MSC: 65N30 65N50 PDF BibTeX XML Cite \textit{J. Zhang} and \textit{X. Liu}, J. Sci. Comput. 88, No. 1, Paper No. 27, 19 p. (2021; Zbl 07384739) Full Text: DOI OpenURL
Geist, Moritz; Petersen, Philipp; Raslan, Mones; Schneider, Reinhold; Kutyniok, Gitta Numerical solution of the parametric diffusion equation by deep neural networks. (English) Zbl 07384734 J. Sci. Comput. 88, No. 1, Paper No. 22, 37 p. (2021). MSC: 35J99 41A25 41A30 68T05 65N30 PDF BibTeX XML Cite \textit{M. Geist} et al., J. Sci. Comput. 88, No. 1, Paper No. 22, 37 p. (2021; Zbl 07384734) Full Text: DOI OpenURL
Burman, Erik; He, Cuiyu; Larson, Mats G. Comparison of shape derivatives using CutFEM for ill-posed Bernoulli free boundary problem. (English) Zbl 07384721 J. Sci. Comput. 88, No. 2, Paper No. 35, 28 p. (2021). MSC: 65N20 65N21 65N30 PDF BibTeX XML Cite \textit{E. Burman} et al., J. Sci. Comput. 88, No. 2, Paper No. 35, 28 p. (2021; Zbl 07384721) Full Text: DOI OpenURL
Dedner, Andreas; Giesselmann, Jan; Pryer, Tristan; Ryan, Jennifer K. Residual estimates for post-processors in elliptic problems. (English) Zbl 07384720 J. Sci. Comput. 88, No. 2, Paper No. 34, 28 p. (2021). MSC: 65Nxx 65Mxx PDF BibTeX XML Cite \textit{A. Dedner} et al., J. Sci. Comput. 88, No. 2, Paper No. 34, 28 p. (2021; Zbl 07384720) Full Text: DOI OpenURL
Feng, Xiaobing; Qiu, Hailong Analysis of fully discrete mixed finite element methods for time-dependent stochastic Stokes equations with multiplicative noise. (English) Zbl 07384717 J. Sci. Comput. 88, No. 2, Paper No. 31, 25 p. (2021). MSC: 65N12 65N15 65N30 PDF BibTeX XML Cite \textit{X. Feng} and \textit{H. Qiu}, J. Sci. Comput. 88, No. 2, Paper No. 31, 25 p. (2021; Zbl 07384717) Full Text: DOI OpenURL
Bzeih, Moussa; El Arwadi, Toufic; Hindi, Mohammad Numerical analysis and simulation for Rayleigh beam equation with dynamical boundary controls. (English) Zbl 07384612 Arab. J. Math. 10, No. 2, 331-349 (2021). MSC: 65-XX 35R37 35K10 65M60 65M15 PDF BibTeX XML Cite \textit{M. Bzeih} et al., Arab. J. Math. 10, No. 2, 331--349 (2021; Zbl 07384612) Full Text: DOI OpenURL