Baňas, L’ubomír; Dawid, Herbert; Randrianasolo, Tsiry Avisoa; Storn, Johannes; Wen, Xingang Numerical approximation of a system of Hamilton-Jacobi-Bellman equations arising in innovation dynamics. (English) Zbl 07568374 J. Sci. Comput. 92, No. 2, Paper No. 54, 35 p. (2022). MSC: 65Mxx 65Nxx 49Lxx PDF BibTeX XML Cite \textit{L. Baňas} et al., J. Sci. Comput. 92, No. 2, Paper No. 54, 35 p. (2022; Zbl 07568374) Full Text: DOI OpenURL
Kolbe, Niklas; Sfakianakis, Nikolaos An adaptive rectangular mesh administration and refinement technique with application in cancer invasion models. (English) Zbl 07567549 J. Comput. Appl. Math. 416, Article ID 114442, 18 p. (2022). MSC: 65Mxx 65Nxx 92Cxx PDF BibTeX XML Cite \textit{N. Kolbe} and \textit{N. Sfakianakis}, J. Comput. Appl. Math. 416, Article ID 114442, 18 p. (2022; Zbl 07567549) Full Text: DOI OpenURL
Zhao, Lina; Park, Eun-Jae A staggered discontinuous Galerkin method for quasi-linear second order elliptic problems of nonmonotone type. (English) Zbl 07566804 Comput. Methods Appl. Math. 22, No. 3, 729-750 (2022). MSC: 65N15 65N30 65N50 PDF BibTeX XML Cite \textit{L. Zhao} and \textit{E.-J. Park}, Comput. Methods Appl. Math. 22, No. 3, 729--750 (2022; Zbl 07566804) Full Text: DOI OpenURL
Gantner, Gregor; Praetorius, Dirk; Schimanko, Stefan Stable implementation of adaptive IGABEM in 2D in MATLAB. (English) Zbl 07566795 Comput. Methods Appl. Math. 22, No. 3, 563-590 (2022). MSC: 65D07 65N38 65N50 65Y20 PDF BibTeX XML Cite \textit{G. Gantner} et al., Comput. Methods Appl. Math. 22, No. 3, 563--590 (2022; Zbl 07566795) Full Text: DOI OpenURL
Dubuis, Samuel; Passelli, Paride; Picasso, Marco Anisotropic adaptive finite elements for an elliptic problem with strongly varying diffusion coefficient. (English) Zbl 07566793 Comput. Methods Appl. Math. 22, No. 3, 529-543 (2022). MSC: 65N30 65N50 PDF BibTeX XML Cite \textit{S. Dubuis} et al., Comput. Methods Appl. Math. 22, No. 3, 529--543 (2022; Zbl 07566793) Full Text: DOI OpenURL
Beirão da Veiga, L.; Vacca, G. Sharper error estimates for virtual elements and a bubble-enriched version. (English) Zbl 07565248 SIAM J. Numer. Anal. 60, No. 4, 1853-1878 (2022). MSC: 65N30 65N50 65N12 65N15 65D05 05B45 35J05 PDF BibTeX XML Cite \textit{L. Beirão da Veiga} and \textit{G. Vacca}, SIAM J. Numer. Anal. 60, No. 4, 1853--1878 (2022; Zbl 07565248) Full Text: DOI OpenURL
Mamadou, Ouédraogo; Kassiénou, Lamien; Longin, Somé Moving grid method with flux limiters for numerical solution of parabolic parabolic Keller-Segel chemotaxis model. (English) Zbl 07564764 Int. J. Numer. Methods Appl. 21, No. 1, 17-36 (2022). MSC: 35K40 65M06 65M20 65M50 PDF BibTeX XML Cite \textit{O. Mamadou} et al., Int. J. Numer. Methods Appl. 21, No. 1, 17--36 (2022; Zbl 07564764) Full Text: DOI OpenURL
Ali, Mazen; Funken, Stefan A.; Schmidt, Anja \(H^1\)-stability of the \(L^2\)-projection onto finite element spaces on adaptively refined quadrilateral meshes. (English) Zbl 07563206 IMA J. Numer. Anal. 42, No. 3, 2684-2709 (2022). MSC: 65-XX PDF BibTeX XML Cite \textit{M. Ali} et al., IMA J. Numer. Anal. 42, No. 3, 2684--2709 (2022; Zbl 07563206) Full Text: DOI OpenURL
Sumit, S.; Kumar, S.; Kumar, M. Optimal fourth-order parameter-uniform convergence of a non-monotone scheme on equidistributed meshes for singularly perturbed reaction-diffusion problems. (English) Zbl 07563036 Int. J. Comput. Math. 99, No. 8, 1638-1653 (2022). MSC: 65L10 65L11 65L20 65L50 65L70 PDF BibTeX XML Cite \textit{S. Sumit} et al., Int. J. Comput. Math. 99, No. 8, 1638--1653 (2022; Zbl 07563036) Full Text: DOI OpenURL
Avijit, D.; Natesan, S. Numerical analysis of a fully discrete stabilized FEM for system of singularly perturbed parabolic IBVPs. (English) Zbl 07563034 Int. J. Comput. Math. 99, No. 8, 1595-1616 (2022). MSC: 65M12 65M15 65M50 65M60 PDF BibTeX XML Cite \textit{D. Avijit} and \textit{S. Natesan}, Int. J. Comput. Math. 99, No. 8, 1595--1616 (2022; Zbl 07563034) Full Text: DOI OpenURL
Karabaş, Neslişah İmamoğlu; Korkut, Sıla Övgü; Gurarslan, Gurhan; Tanoğlu, Gamze A reliable and fast mesh-free solver for the telegraph equation. (English) Zbl 07562968 Comput. Appl. Math. 41, No. 5, Paper No. 225, 24 p. (2022). MSC: 00A69 65M15 65M20 65M50 PDF BibTeX XML Cite \textit{N. İ. Karabaş} et al., Comput. Appl. Math. 41, No. 5, Paper No. 225, 24 p. (2022; Zbl 07562968) Full Text: DOI OpenURL
Deswal, Komal; Kumar, Devendra; Vigo-Aguiar, J. Three-dimensional Haar wavelet method for singularly perturbed elliptic boundary value problems on non-uniform meshes. (English) Zbl 07562011 J. Math. Chem. 60, No. 7, 1314-1336 (2022). MSC: 92Exx 35J25 65M12 65M50 65N22 65T60 PDF BibTeX XML Cite \textit{K. Deswal} et al., J. Math. Chem. 60, No. 7, 1314--1336 (2022; Zbl 07562011) Full Text: DOI OpenURL
Meng, Baoqing; Zeng, Junsheng; Chen, Qian; Zhou, Rui; Tian, Baolin Numerical method for compressible gas-particle flow coupling using adaptive parcel refinement (APR) method on non-uniform mesh. (English) Zbl 07561093 J. Comput. Phys. 466, Article ID 111418, 25 p. (2022). MSC: 76Txx 76Lxx 76Mxx PDF BibTeX XML Cite \textit{B. Meng} et al., J. Comput. Phys. 466, Article ID 111418, 25 p. (2022; Zbl 07561093) Full Text: DOI OpenURL
Barrios, Tomás P.; Behrens, Edwin M.; Bustinza, Rommel Numerical analysis of a stabilized scheme applied to incompressible elasticity problems with Dirichlet and with mixed boundary conditions. (English) Zbl 07560218 Adv. Comput. Math. 48, No. 4, Paper No. 43, 33 p. (2022). MSC: 65N30 65N15 65N50 35A01 35A02 35A15 74B10 74S05 35Q74 PDF BibTeX XML Cite \textit{T. P. Barrios} et al., Adv. Comput. Math. 48, No. 4, Paper No. 43, 33 p. (2022; Zbl 07560218) Full Text: DOI OpenURL
Fuica, Francisco; Otárola, Enrique A posteriori error estimates for an optimal control problem with a bilinear state equation. (English) Zbl 07558552 J. Optim. Theory Appl. 194, No. 2, 543-569 (2022). MSC: 49M25 49J20 49J10 65N15 65N30 65N50 PDF BibTeX XML Cite \textit{F. Fuica} and \textit{E. Otárola}, J. Optim. Theory Appl. 194, No. 2, 543--569 (2022; Zbl 07558552) Full Text: DOI OpenURL
Singh, Maneesh Kumar; Natesan, Srinivasan Numerical analysis of singularly perturbed system of parabolic convection-diffusion problem with regular boundary layers. (English) Zbl 07557482 Differ. Equ. Dyn. Syst. 30, No. 3, 695-717 (2022). MSC: 65M06 65N06 65N50 65M12 65M15 35B25 PDF BibTeX XML Cite \textit{M. K. Singh} and \textit{S. Natesan}, Differ. Equ. Dyn. Syst. 30, No. 3, 695--717 (2022; Zbl 07557482) Full Text: DOI OpenURL
Leung, Wing Tat; Wang, Yating Multirate partially explicit scheme for multiscale flow problems. (English) Zbl 07556270 SIAM J. Sci. Comput. 44, No. 3, A1775-A1806 (2022). MSC: 65M60 65M06 65N30 65M50 76S05 76M10 76M20 35Q35 PDF BibTeX XML Cite \textit{W. T. Leung} and \textit{Y. Wang}, SIAM J. Sci. Comput. 44, No. 3, A1775--A1806 (2022; Zbl 07556270) Full Text: DOI OpenURL
Koga, Kazuki Numerical reparametrization of periodic planar curves via curvature interpolation. (English) Zbl 07556267 SIAM J. Sci. Comput. 44, No. 3, A1703-A1722 (2022). MSC: 65D15 65D17 65M50 PDF BibTeX XML Cite \textit{K. Koga}, SIAM J. Sci. Comput. 44, No. 3, A1703--A1722 (2022; Zbl 07556267) Full Text: DOI OpenURL
Zhang, Lu; Wang, Siyang A high order finite difference method for the elastic wave equation in bounded domains with nonconforming interfaces. (English) Zbl 07556061 SIAM J. Numer. Anal. 60, No. 3, 1516-1547 (2022). MSC: 65M06 65M12 65M50 65M85 74J10 PDF BibTeX XML Cite \textit{L. Zhang} and \textit{S. Wang}, SIAM J. Numer. Anal. 60, No. 3, 1516--1547 (2022; Zbl 07556061) Full Text: DOI OpenURL
Becker, Roland; Innerberger, Michael; Praetorius, Dirk Adaptive FEM for parameter-errors in elliptic linear-quadratic parameter estimation problems. (English) Zbl 07554726 SIAM J. Numer. Anal. 60, No. 3, 1450-1471 (2022). MSC: 65-XX 41A25 49N10 65N12 65N15 65N30 65N50 65Y20 PDF BibTeX XML Cite \textit{R. Becker} et al., SIAM J. Numer. Anal. 60, No. 3, 1450--1471 (2022; Zbl 07554726) Full Text: DOI OpenURL
Bellotti, Thomas; Gouarin, Loïc; Graille, Benjamin; Massot, Marc Does the multiresolution lattice Boltzmann method allow to deal with waves passing through mesh jumps? (English) Zbl 07554498 C. R., Math., Acad. Sci. Paris 360, 761-769 (2022). MSC: 65M75 65M50 76M28 PDF BibTeX XML Cite \textit{T. Bellotti} et al., C. R., Math., Acad. Sci. Paris 360, 761--769 (2022; Zbl 07554498) Full Text: DOI OpenURL
Nie, Cunyun; Shu, Shi; Liu, Menghuan A novel monotone finite volume element scheme for diffusion equations. (English) Zbl 07553123 J. Comput. Appl. Math. 414, Article ID 114458, 20 p. (2022). Reviewer: Abdallah Bradji (Annaba) MSC: 65N08 65N30 65N50 PDF BibTeX XML Cite \textit{C. Nie} et al., J. Comput. Appl. Math. 414, Article ID 114458, 20 p. (2022; Zbl 07553123) Full Text: DOI OpenURL
Futai, Kouta; Kolbe, Niklas; Notsu, Hirofumi; Suzuki, Tasuku A mass-preserving two-step Lagrange-Galerkin scheme for convection-diffusion problems. (English) Zbl 07550030 J. Sci. Comput. 92, No. 2, Paper No. 37, 33 p. (2022). MSC: 65M60 65M12 65M25 65M50 PDF BibTeX XML Cite \textit{K. Futai} et al., J. Sci. Comput. 92, No. 2, Paper No. 37, 33 p. (2022; Zbl 07550030) Full Text: DOI OpenURL
Yang, Yanfang; Fu, Shubin; Chung, Eric T. An adaptive generalized multiscale finite element method based two-grid preconditioner for large scale high-contrast linear elasticity problems. (English) Zbl 07549609 J. Sci. Comput. 92, No. 1, Paper No. 21, 22 p. (2022). MSC: 65N30 65N55 65N50 65F08 65F10 74S05 PDF BibTeX XML Cite \textit{Y. Yang} et al., J. Sci. Comput. 92, No. 1, Paper No. 21, 22 p. (2022; Zbl 07549609) Full Text: DOI OpenURL
Longo, Marcello Adaptive quasi-Monte Carlo finite element methods for parametric elliptic PDEs. (English) Zbl 07549607 J. Sci. Comput. 92, No. 1, Paper No. 19, 24 p. (2022). MSC: 65C05 65N30 65N50 PDF BibTeX XML Cite \textit{M. Longo}, J. Sci. Comput. 92, No. 1, Paper No. 19, 24 p. (2022; Zbl 07549607) Full Text: DOI OpenURL
Carstensen, Carsten; Khot, Rekha; Pani, Amiya K. A priori and a posteriori error analysis of the lowest-order NCVEM for second-order linear indefinite elliptic problems. (English) Zbl 07549400 Numer. Math. 151, No. 3, 551-600 (2022). MSC: 65N30 65N50 65N12 65N15 35J15 PDF BibTeX XML Cite \textit{C. Carstensen} et al., Numer. Math. 151, No. 3, 551--600 (2022; Zbl 07549400) Full Text: DOI OpenURL
Erath, Christoph; Mascotto, Lorenzo; Melenk, Jens M.; Perugia, Ilaria; Rieder, Alexander Mortar coupling of \(hp\)-discontinuous Galerkin and boundary element methods for the Helmholtz equation. (English) Zbl 07547969 J. Sci. Comput. 92, No. 1, Paper No. 2, 41 p. (2022). MSC: 65N30 65N38 65N50 35J05 76Q05 76M10 76M15 35Q35 PDF BibTeX XML Cite \textit{C. Erath} et al., J. Sci. Comput. 92, No. 1, Paper No. 2, 41 p. (2022; Zbl 07547969) Full Text: DOI OpenURL
Wang, Wansheng; Mao, Mengli; Huang, Yi Optimal a posteriori estimators for the variable step-size BDF2 method for linear parabolic equations. (English) Zbl 07542682 J. Comput. Appl. Math. 413, Article ID 114306, 21 p. (2022). MSC: 65M20 65L06 65L70 65M15 65M50 PDF BibTeX XML Cite \textit{W. Wang} et al., J. Comput. Appl. Math. 413, Article ID 114306, 21 p. (2022; Zbl 07542682) Full Text: DOI OpenURL
Li, Buyang Maximum-norm stability of the finite element method for the Neumann problem in nonconvex polygons with locally refined mesh. (English) Zbl 07541884 Math. Comput. 91, No. 336, 1533-1585 (2022). MSC: 65N30 65N12 65N15 65N50 35B50 35J05 PDF BibTeX XML Cite \textit{B. Li}, Math. Comput. 91, No. 336, 1533--1585 (2022; Zbl 07541884) Full Text: DOI OpenURL
Girault, Vivette; González, María; Hecht, Frédéric A posteriori error analysis of an enriched Galerkin method of order one for the Stokes problem. (English) Zbl 07540593 J. Numer. Math. 30, No. 2, 85-108 (2022). MSC: 65N30 65N15 65N50 76D07 PDF BibTeX XML Cite \textit{V. Girault} et al., J. Numer. Math. 30, No. 2, 85--108 (2022; Zbl 07540593) Full Text: DOI OpenURL
Radia, Miren; Sperhake, Ulrich; Drew, Amelia; Clough, Katy; Figueras, Pau; Lim, Eugene A.; Ripley, Justin L.; Aurrekoetxea, Josu C.; França, Tiago; Helfer, Thomas Lessons for adaptive mesh refinement in numerical relativity. (English) Zbl 07540463 Classical Quantum Gravity 39, No. 13, Article ID 135006, 43 p. (2022). MSC: 83-XX PDF BibTeX XML Cite \textit{M. Radia} et al., Classical Quantum Gravity 39, No. 13, Article ID 135006, 43 p. (2022; Zbl 07540463) Full Text: DOI OpenURL
Singh, Gautam; Natesan, Srinivasan Superconvergence error estimates of discontinuous Galerkin time stepping for singularly perturbed parabolic problems. (English) Zbl 07540329 Numer. Algorithms 90, No. 3, 1073-1090 (2022). MSC: 65M60 65N30 65M12 65M15 65N50 35K67 35B25 PDF BibTeX XML Cite \textit{G. Singh} and \textit{S. Natesan}, Numer. Algorithms 90, No. 3, 1073--1090 (2022; Zbl 07540329) Full Text: DOI OpenURL
Jeon, Youngmok; Yi, Son-Young The immersed interface hybridized difference method for parabolic interface problems. (English) Zbl 07538553 Numer. Math., Theory Methods Appl. 15, No. 2, 336-359 (2022). MSC: 65N30 65N38 65N50 PDF BibTeX XML Cite \textit{Y. Jeon} and \textit{S.-Y. Yi}, Numer. Math., Theory Methods Appl. 15, No. 2, 336--359 (2022; Zbl 07538553) Full Text: DOI OpenURL
Lepe, Felipe; Rivera, Gonzalo; Vellojin, Jesus Mixed methods for the velocity-pressure-pseudostress formulation of the Stokes eigenvalue problem. (English) Zbl 07538375 SIAM J. Sci. Comput. 44, No. 3, A1358-A1380 (2022). MSC: 35Q35 76D07 65N30 65N25 65N15 65N12 65N50 PDF BibTeX XML Cite \textit{F. Lepe} et al., SIAM J. Sci. Comput. 44, No. 3, A1358--A1380 (2022; Zbl 07538375) Full Text: DOI OpenURL
Carson, Hugh A.; Allmaras, Steven; Galbraith, Marshall; Darmofal, David Convergence of anisotropic mesh adaptation via metric optimization. (English) Zbl 07538284 SIAM J. Numer. Anal. 60, No. 3, 1281-1306 (2022). Reviewer: Marius Ghergu (Dublin) MSC: 65N30 65N50 PDF BibTeX XML Cite \textit{H. A. Carson} et al., SIAM J. Numer. Anal. 60, No. 3, 1281--1306 (2022; Zbl 07538284) Full Text: DOI OpenURL
Boon, Wietse M.; Gläser, Dennis; Helmig, Rainer; Yotov, Ivan Flux-mortar mixed finite element methods on nonmatching grids. (English) Zbl 07538281 SIAM J. Numer. Anal. 60, No. 3, 1193-1225 (2022). MSC: 65N30 65N12 65N15 65N55 65N50 35B45 35A01 35A02 76S05 76D07 PDF BibTeX XML Cite \textit{W. M. Boon} et al., SIAM J. Numer. Anal. 60, No. 3, 1193--1225 (2022; Zbl 07538281) Full Text: DOI OpenURL
Metcalfe, Stephen; Wihler, Thomas P. Conditional a posteriori error bounds for high order discontinuous Galerkin time stepping approximations of semilinear heat models with blow-up. (English) Zbl 07537264 SIAM J. Sci. Comput. 44, No. 3, A1337-A1357 (2022). MSC: 65M60 65M12 65M15 65M22 65M50 PDF BibTeX XML Cite \textit{S. Metcalfe} and \textit{T. P. Wihler}, SIAM J. Sci. Comput. 44, No. 3, A1337--A1357 (2022; Zbl 07537264) Full Text: DOI OpenURL
Houston, Paul; Rourke, Connor J.; van der Zee, Kristoffer G. Linearization of the travel time functional in porous media flows. (English) Zbl 07537255 SIAM J. Sci. Comput. 44, No. 3, B531-B557 (2022). MSC: 65N50 PDF BibTeX XML Cite \textit{P. Houston} et al., SIAM J. Sci. Comput. 44, No. 3, B531--B557 (2022; Zbl 07537255) Full Text: DOI OpenURL
Walloth, Mirjam; Wollner, Winnifried A posteriori estimator for the adaptive solution of a quasi-static fracture phase-field model with irreversibility constraints. (English) Zbl 07537253 SIAM J. Sci. Comput. 44, No. 3, B479-B505 (2022). MSC: 65M60 35J86 65M15 65M50 74R10 74S05 PDF BibTeX XML Cite \textit{M. Walloth} and \textit{W. Wollner}, SIAM J. Sci. Comput. 44, No. 3, B479--B505 (2022; Zbl 07537253) Full Text: DOI OpenURL
Claeys, Xavier; Parolin, Emile Robust treatment of cross-points in optimized Schwarz methods. (English) Zbl 07536677 Numer. Math. 151, No. 2, 405-442 (2022). MSC: 65N55 65N30 65N50 65N12 65F10 65N22 35J05 PDF BibTeX XML Cite \textit{X. Claeys} and \textit{E. Parolin}, Numer. Math. 151, No. 2, 405--442 (2022; Zbl 07536677) Full Text: DOI OpenURL
Carstensen, Carsten; Ngoc Tien Tran Convergent adaptive hybrid higher-order schemes for convex minimization. (English) Zbl 07536675 Numer. Math. 151, No. 2, 329-367 (2022). MSC: 65N30 65N12 65N50 65K10 65Y20 PDF BibTeX XML Cite \textit{C. Carstensen} and \textit{Ngoc Tien Tran}, Numer. Math. 151, No. 2, 329--367 (2022; Zbl 07536675) Full Text: DOI OpenURL
Kumar, Devendra; Deswal, Komal Wavelet-based approximation for two-parameter singularly perturbed problems with Robin boundary conditions. (English) Zbl 07534922 J. Appl. Math. Comput. 68, No. 1, 125-149 (2022). MSC: 65-XX 35B25 35K20 65D15 65M15 65M50 65N22 65T60 PDF BibTeX XML Cite \textit{D. Kumar} and \textit{K. Deswal}, J. Appl. Math. Comput. 68, No. 1, 125--149 (2022; Zbl 07534922) Full Text: DOI OpenURL
Bui, Duc Quang; Japhet, Caroline; Maday, Yvon; Omnes, Pascal Coupling parareal with optimized Schwarz waveform relaxation for parabolic problems. (English) Zbl 07534664 SIAM J. Numer. Anal. 60, No. 3, 913-939 (2022). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65M55 35K20 65M60 65M06 65N30 65M50 65M12 65M22 65Y05 PDF BibTeX XML Cite \textit{D. Q. Bui} et al., SIAM J. Numer. Anal. 60, No. 3, 913--939 (2022; Zbl 07534664) Full Text: DOI OpenURL
Gbéya, Samuel; Houédanou, Koffi Wilfrid; Nyaga, Lewis; Ahounou, Bernardin Residual-based a posteriori error estimates for the \(hp\) version of the finite element discretization of the elliptic Robin boundary control problem. (English) Zbl 07534468 Results Appl. Math. 14, Article ID 100278, 25 p. (2022). MSC: 65N30 65N35 65N50 65N15 65K10 49K20 35J25 35B45 PDF BibTeX XML Cite \textit{S. Gbéya} et al., Results Appl. Math. 14, Article ID 100278, 25 p. (2022; Zbl 07534468) Full Text: DOI OpenURL
Kawecki, Ellya L.; Smears, Iain Convergence of adaptive discontinuous Galerkin and \(C^0\)-interior penalty finite element methods for Hamilton-Jacobi-Bellman and Isaacs equations. (English) Zbl 07533991 Found. Comput. Math. 22, No. 2, 315-364 (2022). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N50 65N12 35J10 91A05 91A15 35Q91 91-08 PDF BibTeX XML Cite \textit{E. L. Kawecki} and \textit{I. Smears}, Found. Comput. Math. 22, No. 2, 315--364 (2022; Zbl 07533991) Full Text: DOI OpenURL
Ye, Xiu; Zhang, Shangyou A weak divergence CDG method for the biharmonic equation on triangular and tetrahedral meshes. (English) Zbl 07533822 Appl. Numer. Math. 178, 155-165 (2022). MSC: 65N30 65N50 65N15 35J05 31A30 PDF BibTeX XML Cite \textit{X. Ye} and \textit{S. Zhang}, Appl. Numer. Math. 178, 155--165 (2022; Zbl 07533822) Full Text: DOI OpenURL
Duan, Xianbao; Li, Yichen; Tan, Hongxia; Li, Yangyang Adaptive level set method applied to drag minimization problems constrained by Stokes equations. (English) Zbl 07533168 Int. J. Nonlinear Sci. Numer. Simul. 23, No. 2, 257-271 (2022). MSC: 65-XX 76-XX PDF BibTeX XML Cite \textit{X. Duan} et al., Int. J. Nonlinear Sci. Numer. Simul. 23, No. 2, 257--271 (2022; Zbl 07533168) Full Text: DOI OpenURL
Liu, Libin; Chen, Yanping; Liang, Ying Numerical analysis of a nonlinear singularly perturbed delay Volterra integro-differential equation on an adaptive grid. (English) Zbl 07533096 J. Comput. Math. 40, No. 2, 258-274 (2022). MSC: 65L05 65L20 65L50 PDF BibTeX XML Cite \textit{L. Liu} et al., J. Comput. Math. 40, No. 2, 258--274 (2022; Zbl 07533096) Full Text: DOI OpenURL
Phansalkar, Dhananjay; Weinberg, Kerstin; Ortiz, Michael; Leyendecker, Sigrid A spatially adaptive phase-field model of fracture. (English) Zbl 07532553 Comput. Methods Appl. Mech. Eng. 395, Article ID 114880, 10 p. (2022). MSC: 82-XX 74-XX PDF BibTeX XML Cite \textit{D. Phansalkar} et al., Comput. Methods Appl. Mech. Eng. 395, Article ID 114880, 10 p. (2022; Zbl 07532553) Full Text: DOI OpenURL
Li, Fei; Yi, Nianyu A posteriori error estimates of goal-oriented adaptive finite element methods for nonlinear reaction-diffusion problems. (English) Zbl 1486.65257 J. Comput. Appl. Math. 412, Article ID 114362, 18 p. (2022). MSC: 65N30 65N15 65N50 PDF BibTeX XML Cite \textit{F. Li} and \textit{N. Yi}, J. Comput. Appl. Math. 412, Article ID 114362, 18 p. (2022; Zbl 1486.65257) Full Text: DOI OpenURL
Shen, Yue; Gong, Wei; Yan, Ningning Convergence of adaptive nonconforming finite element method for Stokes optimal control problems. (English) Zbl 07531741 J. Comput. Appl. Math. 412, Article ID 114336, 23 p. (2022). MSC: 65N30 65N50 65N12 49M41 76D07 76M10 35Q35 PDF BibTeX XML Cite \textit{Y. Shen} et al., J. Comput. Appl. Math. 412, Article ID 114336, 23 p. (2022; Zbl 07531741) Full Text: DOI OpenURL
Ahuja, K.; Endtmayer, B.; Steinbach, M. C.; Wick, T. Multigoal-oriented error estimation and mesh adaptivity for fluid-structure interaction. (English) Zbl 07531733 J. Comput. Appl. Math. 412, Article ID 114315, 18 p. (2022). MSC: 65N30 65N50 65N15 76D05 74F10 74K10 76M10 74S05 PDF BibTeX XML Cite \textit{K. Ahuja} et al., J. Comput. Appl. Math. 412, Article ID 114315, 18 p. (2022; Zbl 07531733) Full Text: DOI OpenURL
Sheng, Qin; Garcia-Montoya, Nina An operator splitting approach for two-dimensional Kawarada problems. (English) Zbl 07531690 Differ. Equ. Appl. 14, No. 2, 247-263 (2022). MSC: 65M50 35K65 65M06 65M12 PDF BibTeX XML Cite \textit{Q. Sheng} and \textit{N. Garcia-Montoya}, Differ. Equ. Appl. 14, No. 2, 247--263 (2022; Zbl 07531690) Full Text: DOI OpenURL
Gallouët, Thomas O.; Mérigot, Quentin; Natale, Andrea Convergence of a Lagrangian discretization for barotropic fluids and porous media flow. (English) Zbl 07531026 SIAM J. Math. Anal. 54, No. 3, 2990-3018 (2022). MSC: 35Q31 76S05 35L65 35B65 65M12 65M50 76M28 76M30 PDF BibTeX XML Cite \textit{T. O. Gallouët} et al., SIAM J. Math. Anal. 54, No. 3, 2990--3018 (2022; Zbl 07531026) Full Text: DOI OpenURL
Freret, Lucie; Williamschen, Michael; Groth, Clinton P. T. Enhanced anisotropic block-based adaptive mesh refinement for three-dimensional inviscid and viscous compressible flows. (English) Zbl 07527719 J. Comput. Phys. 458, Article ID 111092, 31 p. (2022). MSC: 76Mxx 65Mxx 76Nxx PDF BibTeX XML Cite \textit{L. Freret} et al., J. Comput. Phys. 458, Article ID 111092, 31 p. (2022; Zbl 07527719) Full Text: DOI OpenURL
Janodet, Romain; Guillamón, Carlos; Moureau, Vincent; Mercier, Renaud; Lartigue, Ghislain; Bénard, Pierre; Ménard, Thibaut; Berlemont, Alain A massively parallel accurate conservative level set algorithm for simulating turbulent atomization on adaptive unstructured grids. (English) Zbl 07527709 J. Comput. Phys. 458, Article ID 111075, 36 p. (2022). MSC: 76Mxx 76Txx 65Mxx PDF BibTeX XML Cite \textit{R. Janodet} et al., J. Comput. Phys. 458, Article ID 111075, 36 p. (2022; Zbl 07527709) Full Text: DOI OpenURL
Rivera, Jon A.; Taylor, Jamie M.; Omella, Ángel J.; Pardo, David On quadrature rules for solving partial differential equations using neural networks. (English) Zbl 07526087 Comput. Methods Appl. Mech. Eng. 393, Article ID 114710, 21 p. (2022). MSC: 35A25 65N50 68T07 PDF BibTeX XML Cite \textit{J. A. Rivera} et al., Comput. Methods Appl. Mech. Eng. 393, Article ID 114710, 21 p. (2022; Zbl 07526087) Full Text: DOI OpenURL
Liu, Zhengliang; Tian, Fang-Bao; Feng, Xingya An efficient geometry-adaptive mesh refinement framework and its application in the immersed boundary lattice Boltzmann method. (English) Zbl 07526000 Comput. Methods Appl. Mech. Eng. 392, Article ID 114662, 23 p. (2022). MSC: 76-XX 68-XX PDF BibTeX XML Cite \textit{Z. Liu} et al., Comput. Methods Appl. Mech. Eng. 392, Article ID 114662, 23 p. (2022; Zbl 07526000) Full Text: DOI OpenURL
Yu, Ke; Dorschner, Benedikt; Colonius, Tim Multi-resolution lattice Green’s function method for incompressible flows. (English) Zbl 07525114 J. Comput. Phys. 459, Article ID 110845, 18 p. (2022). MSC: 76Mxx 65Mxx 65Nxx PDF BibTeX XML Cite \textit{K. Yu} et al., J. Comput. Phys. 459, Article ID 110845, 18 p. (2022; Zbl 07525114) Full Text: DOI OpenURL
Jeon, Youngmok An immersed hybrid difference method for the elliptic interface equation. (English) Zbl 07523443 Japan J. Ind. Appl. Math. 39, No. 2, 669-692 (2022). Reviewer: Zhen Chao (Milwaukee) MSC: 65N30 65N38 65N50 65N06 35J15 PDF BibTeX XML Cite \textit{Y. Jeon}, Japan J. Ind. Appl. Math. 39, No. 2, 669--692 (2022; Zbl 07523443) Full Text: DOI OpenURL
Gantner, Gregor; Praetorius, Dirk Adaptive BEM for elliptic PDE systems. I: Abstract framework, for weakly-singular integral equations. (English) Zbl 07518224 Appl. Anal. 101, No. 6, 2085-2118 (2022). MSC: 65N15 45P05 65N30 65N38 65N50 65R20 PDF BibTeX XML Cite \textit{G. Gantner} and \textit{D. Praetorius}, Appl. Anal. 101, No. 6, 2085--2118 (2022; Zbl 07518224) Full Text: DOI OpenURL
Tang, Qi; Chacón, Luis; Kolev, Tzanio V.; Shadid, John N.; Tang, Xian-Zhu An adaptive scalable fully implicit algorithm based on stabilized finite element for reduced visco-resistive MHD. (English) Zbl 07518056 J. Comput. Phys. 454, Article ID 110967, 32 p. (2022). MSC: 76Wxx 76Mxx 65Nxx PDF BibTeX XML Cite \textit{Q. Tang} et al., J. Comput. Phys. 454, Article ID 110967, 32 p. (2022; Zbl 07518056) Full Text: DOI OpenURL
Li, Gaohua; Wang, Fuxin A multiple instance solver framework based on dynamic overset grid method for flow field simulation of array configuration with moving components. (English) Zbl 07516824 J. Comput. Phys. 448, Article ID 110741, 25 p. (2022). MSC: 76Mxx 65Mxx 76Dxx PDF BibTeX XML Cite \textit{G. Li} and \textit{F. Wang}, J. Comput. Phys. 448, Article ID 110741, 25 p. (2022; Zbl 07516824) Full Text: DOI OpenURL
Zeng, Yadong; Xuan, Anqing; Blaschke, Johannes; Shen, Lian A parallel cell-centered adaptive level set framework for efficient simulation of two-phase flows with subcycling and non-subcycling. (English) Zbl 07516823 J. Comput. Phys. 448, Article ID 110740, 31 p. (2022). MSC: 76Mxx 65Mxx 76Dxx PDF BibTeX XML Cite \textit{Y. Zeng} et al., J. Comput. Phys. 448, Article ID 110740, 31 p. (2022; Zbl 07516823) Full Text: DOI OpenURL
Langer, Ulrich; Steinbach, Olaf; Tröltzsch, Fredi; Yang, Huidong Unstructured space-time finite element methods for optimal sparse control of parabolic equations. (English) Zbl 1487.49004 Herzog, Roland (ed.) et al., Optimization and control for partial differential equations. Uncertainty quantification, open and closed-loop control, and shape optimization. Berlin: De Gruyter. Radon Ser. Comput. Appl. Math. 29, 167-188 (2022). MSC: 49J20 35K20 65M60 65M50 65M15 65Y05 35K58 49M15 PDF BibTeX XML Cite \textit{U. Langer} et al., Radon Ser. Comput. Appl. Math. 29, 167--188 (2022; Zbl 1487.49004) Full Text: DOI OpenURL
Brandén, Henrik Grid independent convergence using multilevel circulant preconditioning: Poisson’s equation. (English) Zbl 07515295 BIT 62, No. 2, 409-429 (2022). Reviewer: Abdallah Bradji (Annaba) MSC: 65N22 65F08 65F10 65N50 65N12 65N38 35J05 15B05 PDF BibTeX XML Cite \textit{H. Brandén}, BIT 62, No. 2, 409--429 (2022; Zbl 07515295) Full Text: DOI OpenURL
Berrone, Stefano; Busetto, Martina A virtual element method for the two-phase flow of immiscible fluids in porous media. (English) Zbl 1484.65200 Comput. Geosci. 26, No. 1, 195-216 (2022). MSC: 65M50 65M60 76S05 76T99 PDF BibTeX XML Cite \textit{S. Berrone} and \textit{M. Busetto}, Comput. Geosci. 26, No. 1, 195--216 (2022; Zbl 1484.65200) Full Text: DOI OpenURL
Zhang, Jin; Lv, Yanhui Finite element method for singularly perturbed problems with two parameters on a Bakhvalov-type mesh in 2D. (English) Zbl 07512671 Numer. Algorithms 90, No. 1, 447-475 (2022). MSC: 65N30 65N12 65N50 35B25 35J75 PDF BibTeX XML Cite \textit{J. Zhang} and \textit{Y. Lv}, Numer. Algorithms 90, No. 1, 447--475 (2022; Zbl 07512671) Full Text: DOI OpenURL
Zeng, Yadong; Bhalla, Amneet Pal Singh; Shen, Lian A subcycling/non-subcycling time advancement scheme-based DLM immersed boundary method framework for solving single and multiphase fluid-structure interaction problems on dynamically adaptive grids. (English) Zbl 07512558 Comput. Fluids 238, Article ID 105358, 22 p. (2022). MSC: 76-XX PDF BibTeX XML Cite \textit{Y. Zeng} et al., Comput. Fluids 238, Article ID 105358, 22 p. (2022; Zbl 07512558) Full Text: DOI OpenURL
Korotov, Sergey; Křížek, Michal Degeneracy of tetrahedral partitions produced by randomly generated red refinements. (English) Zbl 07511630 Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 13th international conference, LSSC 2021, Sozopol, Bulgaria, June 7–11, 2021. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 13127, 140-147 (2022). MSC: 65N50 PDF BibTeX XML Cite \textit{S. Korotov} and \textit{M. Křížek}, Lect. Notes Comput. Sci. 13127, 140--147 (2022; Zbl 07511630) Full Text: DOI OpenURL
Huang, Juntao; Liu, Yong; Liu, Yuan; Tao, Zhanjing; Cheng, Yingda A class of adaptive multiresolution ultra-weak discontinuous Galerkin methods for some nonlinear dispersive wave equations. (English) Zbl 07511038 SIAM J. Sci. Comput. 44, No. 2, A745-A769 (2022). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 65L06 65N30 65M12 65M15 65M50 35C08 35Q53 PDF BibTeX XML Cite \textit{J. Huang} et al., SIAM J. Sci. Comput. 44, No. 2, A745--A769 (2022; Zbl 07511038) Full Text: DOI OpenURL
Xu, Fei; Huang, Qiumei; Chen, Shuangshuang; Ma, Hongkun Adaptive multigrid method for eigenvalue problem. (English) Zbl 07509154 Int. J. Numer. Anal. Model. 19, No. 1, 1-18 (2022). MSC: 65F15 65N15 65N25 65N30 65N50 PDF BibTeX XML Cite \textit{F. Xu} et al., Int. J. Numer. Anal. Model. 19, No. 1, 1--18 (2022; Zbl 07509154) Full Text: Link OpenURL
Zhao, Lina; Lam, Ming Fai; Chung, Eric A uniformly robust staggered DG method for the unsteady Darcy-Forchheimer-Brinkman problem. (English) Zbl 07508612 Commun. Appl. Math. Comput. 4, No. 1, 205-226 (2022). MSC: 65N30 65N50 65N12 PDF BibTeX XML Cite \textit{L. Zhao} et al., Commun. Appl. Math. Comput. 4, No. 1, 205--226 (2022; Zbl 07508612) Full Text: DOI OpenURL
Dolejší, Vít; Roskovec, Filip Goal-oriented anisotropic \(hp\)-adaptive discontinuous Galerkin method for the Euler equations. (English) Zbl 07508610 Commun. Appl. Math. Comput. 4, No. 1, 143-179 (2022). MSC: 65N30 65N50 76H05 PDF BibTeX XML Cite \textit{V. Dolejší} and \textit{F. Roskovec}, Commun. Appl. Math. Comput. 4, No. 1, 143--179 (2022; Zbl 07508610) Full Text: DOI OpenURL
Millar, F.; Muga, I.; Rojas, S.; van der Zee, K. G. Projection in negative norms and the regularization of rough linear functionals. (English) Zbl 07507894 Numer. Math. 150, No. 4, 1087-1121 (2022). MSC: 65N30 65N12 65N15 65N22 65N50 35B65 PDF BibTeX XML Cite \textit{F. Millar} et al., Numer. Math. 150, No. 4, 1087--1121 (2022; Zbl 07507894) Full Text: DOI OpenURL
Ji, Haifeng; Wang, Feng; Chen, Jinru; Li, Zhilin A new parameter free partially penalized immersed finite element and the optimal convergence analysis. (English) Zbl 07507893 Numer. Math. 150, No. 4, 1035-1086 (2022). MSC: 65N30 65N15 65N12 65N50 35J15 35R05 PDF BibTeX XML Cite \textit{H. Ji} et al., Numer. Math. 150, No. 4, 1035--1086 (2022; Zbl 07507893) Full Text: DOI OpenURL
Li, Fei; Yi, Nianyu Analysis of a goal-oriented adaptive two-grid finite-element algorithm for semilinear elliptic problems. (English) Zbl 07507661 Comput. Appl. Math. 41, No. 3, Paper No. 108, 29 p. (2022). MSC: 65N15 65N30 65N50 PDF BibTeX XML Cite \textit{F. Li} and \textit{N. Yi}, Comput. Appl. Math. 41, No. 3, Paper No. 108, 29 p. (2022; Zbl 07507661) Full Text: DOI OpenURL
Ge, Liang; Sun, Tongjun An adaptive hp-version stochastic Galerkin method for constrained optimal control problem governed by random reaction diffusion equations. (English) Zbl 07507657 Comput. Appl. Math. 41, No. 3, Paper No. 104, 30 p. (2022). MSC: 65N15 65N30 65N50 65C20 PDF BibTeX XML Cite \textit{L. Ge} and \textit{T. Sun}, Comput. Appl. Math. 41, No. 3, Paper No. 104, 30 p. (2022; Zbl 07507657) Full Text: DOI OpenURL
Buffa, Annalisa; Chanon, Ondine; Vázquez, Rafael Analysis-aware defeaturing: problem setting and a posteriori estimation. (English) Zbl 1483.65197 Math. Models Methods Appl. Sci. 32, No. 2, 359-402 (2022). MSC: 65N50 65N30 65N15 PDF BibTeX XML Cite \textit{A. Buffa} et al., Math. Models Methods Appl. Sci. 32, No. 2, 359--402 (2022; Zbl 1483.65197) Full Text: DOI OpenURL
Sevilla, Rubén (ed.); Perotto, Simona (ed.); Morgan, Kenneth (ed.) Mesh generation and adaptation. Cutting-edge techniques. (English) Zbl 1487.65003 SEMA SIMAI Springer Series 30. Cham: Springer (ISBN 978-3-030-92539-0/hbk; 978-3-030-92540-6/ebook). x, 327 p. (2022). MSC: 65-06 65L50 65M50 65N50 00B15 PDF BibTeX XML Cite \textit{R. Sevilla} (ed.) et al., Mesh generation and adaptation. Cutting-edge techniques. Cham: Springer (2022; Zbl 1487.65003) Full Text: DOI OpenURL
Mekonnen, Tariku Birabasa; Duressa, Gemechis File A fitted mesh cubic spline in tension method for singularly perturbed problems with two parameters. (English) Zbl 1486.65120 Int. J. Math. Math. Sci. 2022, Article ID 5410754, 11 p. (2022). MSC: 65M06 65M12 65M15 65M50 PDF BibTeX XML Cite \textit{T. B. Mekonnen} and \textit{G. F. Duressa}, Int. J. Math. Math. Sci. 2022, Article ID 5410754, 11 p. (2022; Zbl 1486.65120) Full Text: DOI OpenURL
Bertoluzza, Silvia; Burman, Erik; He, Cuiyu An a posteriori error estimate of the outer normal derivative using dual weights. (English) Zbl 07498290 SIAM J. Numer. Anal. 60, No. 1, 475-501 (2022). MSC: 65N50 65N30 65N15 PDF BibTeX XML Cite \textit{S. Bertoluzza} et al., SIAM J. Numer. Anal. 60, No. 1, 475--501 (2022; Zbl 07498290) Full Text: DOI OpenURL
Kumar, Devendra A uniformly convergent scheme for two-parameter problems having layer behaviour. (English) Zbl 07494139 Int. J. Comput. Math. 99, No. 3, 553-574 (2022). MSC: 65L10 65L11 65L20 65L50 65L70 PDF BibTeX XML Cite \textit{D. Kumar}, Int. J. Comput. Math. 99, No. 3, 553--574 (2022; Zbl 07494139) Full Text: DOI OpenURL
Seibel, Daniel Boundary element methods for the wave equation based on hierarchical matrices and adaptive cross approximation. (English) Zbl 1486.65155 Numer. Math. 150, No. 2, 629-670 (2022). MSC: 65M38 65M60 65M06 65M50 65R20 PDF BibTeX XML Cite \textit{D. Seibel}, Numer. Math. 150, No. 2, 629--670 (2022; Zbl 1486.65155) Full Text: DOI arXiv OpenURL
Zhang, Min; Huang, Weizhang; Qiu, Jianxian A well-balanced positivity-preserving quasi-Lagrange moving mesh DG method for the shallow water equations. (English) Zbl 1482.65176 Commun. Comput. Phys. 31, No. 1, 94-130 (2022). MSC: 65M50 65M60 76B15 35Q35 PDF BibTeX XML Cite \textit{M. Zhang} et al., Commun. Comput. Phys. 31, No. 1, 94--130 (2022; Zbl 1482.65176) Full Text: DOI arXiv OpenURL
Shivhare, Meenakshi; Podila, Pramod Chakravarthy Numerical study of two-parameter singularly perturbed problem in two dimensions on an exponentially graded mesh. (English) Zbl 07490249 Comput. Appl. Math. 41, No. 2, Paper No. 81, 17 p. (2022). MSC: 65N06 65N50 PDF BibTeX XML Cite \textit{M. Shivhare} and \textit{P. C. Podila}, Comput. Appl. Math. 41, No. 2, Paper No. 81, 17 p. (2022; Zbl 07490249) Full Text: DOI OpenURL
Padrón, Miguel A.; Plaza, Ángel Similarity classes generated by the 8T-LE partition applied to trirectangular tetrahedra. (English) Zbl 07489828 J. Comput. Appl. Math. 409, Article ID 114150, 17 p. (2022). MSC: 65N50 65N30 51M20 65D18 52B05 PDF BibTeX XML Cite \textit{M. A. Padrón} and \textit{Á. Plaza}, J. Comput. Appl. Math. 409, Article ID 114150, 17 p. (2022; Zbl 07489828) Full Text: DOI OpenURL
Gatica, Gabriel N.; Gómez-Vargas, Bryan; Ruiz-Baier, Ricardo A posteriori error analysis of mixed finite element methods for stress-assisted diffusion problems. (English) Zbl 1484.65297 J. Comput. Appl. Math. 409, Article ID 114144, 23 p. (2022). MSC: 65N30 65N12 65N15 65N50 76R05 76D07 74B10 PDF BibTeX XML Cite \textit{G. N. Gatica} et al., J. Comput. Appl. Math. 409, Article ID 114144, 23 p. (2022; Zbl 1484.65297) Full Text: DOI OpenURL
Walker, Shawn W. Poincaré inequality for a mesh-dependent 2-norm on piecewise linear surfaces with boundary. (English) Zbl 1482.65216 Comput. Methods Appl. Math. 22, No. 1, 227-243 (2022). MSC: 65N30 35J40 53A70 65N50 PDF BibTeX XML Cite \textit{S. W. Walker}, Comput. Methods Appl. Math. 22, No. 1, 227--243 (2022; Zbl 1482.65216) Full Text: DOI OpenURL
Manohar, Ram; Sinha, Rajen Kumar Local a posteriori error analysis of finite element method for parabolic boundary control problems. (English) Zbl 1484.65227 J. Sci. Comput. 91, No. 1, Paper No. 17, 43 p. (2022). MSC: 65M60 65M06 65N30 65N50 35K20 49M41 93C20 PDF BibTeX XML Cite \textit{R. Manohar} and \textit{R. K. Sinha}, J. Sci. Comput. 91, No. 1, Paper No. 17, 43 p. (2022; Zbl 1484.65227) Full Text: DOI OpenURL
Leng, Haitao; Chen, Yanping A hybridizable discontinuous Galerkin method for second order elliptic equations with Dirac delta source. (English) Zbl 07488336 ESAIM, Math. Model. Numer. Anal. 56, No. 2, 385-406 (2022). MSC: 65K10 65M50 PDF BibTeX XML Cite \textit{H. Leng} and \textit{Y. Chen}, ESAIM, Math. Model. Numer. Anal. 56, No. 2, 385--406 (2022; Zbl 07488336) Full Text: DOI OpenURL
Uriarte, Carlos; Pardo, David; Omella, Ángel Javier A finite element based deep learning solver for parametric PDEs. (English) Zbl 07487682 Comput. Methods Appl. Mech. Eng. 391, Article ID 114562, 25 p. (2022). MSC: 68T07 65N30 65N50 PDF BibTeX XML Cite \textit{C. Uriarte} et al., Comput. Methods Appl. Mech. Eng. 391, Article ID 114562, 25 p. (2022; Zbl 07487682) Full Text: DOI OpenURL
Wu, Zhizhang; Zhang, Zhiwen An iterative algorithm for POD basis adaptation in solving parametric convection-diffusion equations. (English) Zbl 07487656 Comput. Methods Appl. Mech. Eng. 391, Article ID 114498, 21 p. (2022). MSC: 35B30 65M12 65M50 76R99 78M34 PDF BibTeX XML Cite \textit{Z. Wu} and \textit{Z. Zhang}, Comput. Methods Appl. Mech. Eng. 391, Article ID 114498, 21 p. (2022; Zbl 07487656) Full Text: DOI OpenURL
Chandra Sekhara Rao, S.; Chaturvedi, Abhay Kumar Analysis of an almost fourth-order parameter-uniformly convergent numerical method for singularly perturbed semilinear reaction-diffusion system with non-smooth source term. (English) Zbl 07484249 Appl. Math. Comput. 421, Article ID 126944, 26 p. (2022). MSC: 34B15 65L10 65L11 65L20 65L50 65L70 PDF BibTeX XML Cite \textit{S. Chandra Sekhara Rao} and \textit{A. K. Chaturvedi}, Appl. Math. Comput. 421, Article ID 126944, 26 p. (2022; Zbl 07484249) Full Text: DOI OpenURL
Chen, Yaoyao; Huang, Yunqing; Yi, Nianyu Error analysis of a decoupled, linear and stable finite element method for Cahn-Hilliard-Navier-Stokes equations. (English) Zbl 07484235 Appl. Math. Comput. 421, Article ID 126928, 17 p. (2022). MSC: 65N15 65N30 65N50 PDF BibTeX XML Cite \textit{Y. Chen} et al., Appl. Math. Comput. 421, Article ID 126928, 17 p. (2022; Zbl 07484235) Full Text: DOI OpenURL
Wang, Xiao; Gu, Yan; Golub, Mikhail V. Analysis of bimaterial interface cracks using the localized method of fundamental solutions. (English) Zbl 07483465 Results Appl. Math. 13, Article ID 100231, 7 p. (2022). MSC: 65N75 65N35 65N50 74R10 74S99 35Q74 PDF BibTeX XML Cite \textit{X. Wang} et al., Results Appl. Math. 13, Article ID 100231, 7 p. (2022; Zbl 07483465) Full Text: DOI OpenURL
Wang, Shuai; Yuan, Guangwei Discrete strong extremum principles for finite element solutions of diffusion problems with nonlinear corrections. (English) Zbl 1483.65193 Appl. Numer. Math. 174, 1-16 (2022). MSC: 65N30 35B50 65N12 35J25 65N50 PDF BibTeX XML Cite \textit{S. Wang} and \textit{G. Yuan}, Appl. Numer. Math. 174, 1--16 (2022; Zbl 1483.65193) Full Text: DOI OpenURL
Bergmann, Michel; Carlino, Michele Giuliano; Iollo, Angelo Second order ADER scheme for unsteady advection-diffusion on moving overset grids with a compact transmission condition. (English) Zbl 07482215 SIAM J. Sci. Comput. 44, No. 1, A524-A553 (2022). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M60 65M55 65M50 65Y99 35K20 35K55 PDF BibTeX XML Cite \textit{M. Bergmann} et al., SIAM J. Sci. Comput. 44, No. 1, A524--A553 (2022; Zbl 07482215) Full Text: DOI OpenURL
Grüne, Lars; Schaller, Manuel; Schiela, Anton Efficient model predictive control for parabolic PDEs with goal oriented error estimation. (English) Zbl 07482213 SIAM J. Sci. Comput. 44, No. 1, A471-A500 (2022). MSC: 35Q93 93C20 93B52 65M60 65M06 65N30 65M50 49K40 49N10 PDF BibTeX XML Cite \textit{L. Grüne} et al., SIAM J. Sci. Comput. 44, No. 1, A471--A500 (2022; Zbl 07482213) Full Text: DOI arXiv OpenURL
Cheng, Yao; Yan, Li; Wang, Xuesong; Liu, Yanhua Optimal maximum-norm estimate of the LDG method for singularly perturbed convection-diffusion problem. (English) Zbl 07479027 Appl. Math. Lett. 128, Article ID 107947, 11 p. (2022). MSC: 65L11 65L60 65L50 65L70 34E15 PDF BibTeX XML Cite \textit{Y. Cheng} et al., Appl. Math. Lett. 128, Article ID 107947, 11 p. (2022; Zbl 07479027) Full Text: DOI OpenURL