Xu, Fei; Wang, Bingyi; Luo, Fusheng Adaptive multigrid method for quantum eigenvalue problems. (English) Zbl 07738682 J. Comput. Appl. Math. 436, Article ID 115445, 17 p. (2024). MSC: 65N25 65N30 65N50 65N12 PDF BibTeX XML Cite \textit{F. Xu} et al., J. Comput. Appl. Math. 436, Article ID 115445, 17 p. (2024; Zbl 07738682) Full Text: DOI
Clavero, Carmelo; Shiromani, Ram; Shanthi, Vembu A numerical approach for a two-parameter singularly perturbed weakly-coupled system of 2-D elliptic convection-reaction-diffusion PDEs. (English) Zbl 07738669 J. Comput. Appl. Math. 436, Article ID 115422, 20 p. (2024). MSC: 35J25 35J40 35B25 65N06 65N12 65N15 65N50 PDF BibTeX XML Cite \textit{C. Clavero} et al., J. Comput. Appl. Math. 436, Article ID 115422, 20 p. (2024; Zbl 07738669) Full Text: DOI
Duressa, Gemechis File; Mekonnen, Tariku Birabasa An exponentially fitted method for two parameter singularly perturbed parabolic boundary value problems. (English) Zbl 07741885 Commun. Korean Math. Soc. 38, No. 1, 299-318 (2023). MSC: 65M06 65M12 65M15 65M50 PDF BibTeX XML Cite \textit{G. F. Duressa} and \textit{T. B. Mekonnen}, Commun. Korean Math. Soc. 38, No. 1, 299--318 (2023; Zbl 07741885) Full Text: DOI
Becker, Roland; Brunner, Maximilian; Innerberger, Michael; Melenk, Jens Markus; Praetorius, Dirk Cost-optimal adaptive iterative linearized FEM for semilinear elliptic PDEs. (English) Zbl 07739210 ESAIM, Math. Model. Numer. Anal. 57, No. 4, 2193-2225 (2023). MSC: 65N30 65N50 65N12 65N15 65Y20 41A25 35J61 PDF BibTeX XML Cite \textit{R. Becker} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 4, 2193--2225 (2023; Zbl 07739210) Full Text: DOI arXiv
Nassreddine, Ghina; Omnes, Pascal; Sayah, Toni A posteriori error estimates for the large eddy simulation applied to incompressible fluids. (English) Zbl 07739209 ESAIM, Math. Model. Numer. Anal. 57, No. 4, 2159-2191 (2023). MSC: 65M50 65M15 76F65 76D05 PDF BibTeX XML Cite \textit{G. Nassreddine} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 4, 2159--2191 (2023; Zbl 07739209) Full Text: DOI
Eliseussen, Emilie; Rognes, Marie Elisabeth; Thompson, Travis B. A posteriori error estimation and adaptivity for multiple-network poroelasticity. (English) Zbl 07739201 ESAIM, Math. Model. Numer. Anal. 57, No. 4, 1921-1952 (2023). MSC: 65M50 65M60 65Z05 92-08 PDF BibTeX XML Cite \textit{E. Eliseussen} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 4, 1921--1952 (2023; Zbl 07739201) Full Text: DOI arXiv
Frei, Stefan; Judakova, Gozel; Richter, Thomas A locally modified second-order finite element method for interface problems and its implementation in 2 dimensions. (English) Zbl 07737660 ESAIM, Math. Model. Numer. Anal. 57, No. 3, 1355-1380 (2023). MSC: 65N30 65N15 65N50 65F35 PDF BibTeX XML Cite \textit{S. Frei} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 3, 1355--1380 (2023; Zbl 07737660) Full Text: DOI arXiv
Cen, Zhongdi; Huang, Jian; Xu, Aimin A quadratic B-spline collocation method for a singularly perturbed semilinear reaction-diffusion problem with discontinuous source term. (English) Zbl 07735353 Mediterr. J. Math. 20, No. 5, Paper No. 269, 12 p. (2023). MSC: 65L10 65L11 65L20 65L50 PDF BibTeX XML Cite \textit{Z. Cen} et al., Mediterr. J. Math. 20, No. 5, Paper No. 269, 12 p. (2023; Zbl 07735353) Full Text: DOI
Wang, Kai; Xia, Yan-Chen; Li, Zeng-Yao A phase-field lattice Boltzmann method for liquid-vapor phase change problems based on conservative Allen-Cahn equation and adaptive treegrid. (English) Zbl 07735056 Comput. Fluids 264, Article ID 105973, 13 p. (2023). MSC: 76-XX PDF BibTeX XML Cite \textit{K. Wang} et al., Comput. Fluids 264, Article ID 105973, 13 p. (2023; Zbl 07735056) Full Text: DOI
Führer, Thomas; Karkulik, Michael Least-squares finite elements for distributed optimal control problems. (English) Zbl 07732061 Numer. Math. 154, No. 3-4, 409-442 (2023). MSC: 65N30 65N12 35F35 65M50 65M15 65K10 35Q79 35Q35 49M41 PDF BibTeX XML Cite \textit{T. Führer} and \textit{M. Karkulik}, Numer. Math. 154, No. 3--4, 409--442 (2023; Zbl 07732061) Full Text: DOI arXiv
Carstensen, Carsten; Nataraj, Neela; Remesan, Gopikrishnan C.; Shylaja, Devika Unified a priori analysis of four second-order FEM for fourth-order quadratic semilinear problems. (English) Zbl 07732059 Numer. Math. 154, No. 3-4, 323-368 (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N12 65N50 35J61 76D05 35Q30 PDF BibTeX XML Cite \textit{C. Carstensen} et al., Numer. Math. 154, No. 3--4, 323--368 (2023; Zbl 07732059) Full Text: DOI arXiv
Vogl, Christopher J.; Joseph, Ilon; Holec, Milan Mesh refinement for anisotropic diffusion in magnetized plasmas. (English) Zbl 07731327 Comput. Math. Appl. 145, 159-174 (2023). MSC: 76-XX 82-XX PDF BibTeX XML Cite \textit{C. J. Vogl} et al., Comput. Math. Appl. 145, 159--174 (2023; Zbl 07731327) Full Text: DOI arXiv
Liu, Xiaowei; Zhang, Jin Uniform convergence of optimal order for a finite element method on a Bakhvalov-type mesh for a singularly perturbed convection-diffusion equation with parabolic layers. (English) Zbl 07730436 Numer. Algorithms 94, No. 1, 459-478 (2023). MSC: 65N12 65N30 65N50 PDF BibTeX XML Cite \textit{X. Liu} and \textit{J. Zhang}, Numer. Algorithms 94, No. 1, 459--478 (2023; Zbl 07730436) Full Text: DOI
Borthagaray, Juan Pablo; Nochetto, Ricardo H.; Wu, Shuonan; Xu, Jinchao Robust BPX preconditioner for fractional Laplacians on bounded Lipschitz domains. (English) Zbl 07729919 Math. Comput. 92, No. 344, 2439-2473 (2023). MSC: 65F08 65N30 65M50 35R11 PDF BibTeX XML Cite \textit{J. P. Borthagaray} et al., Math. Comput. 92, No. 344, 2439--2473 (2023; Zbl 07729919) Full Text: DOI arXiv
Chaumont-Frelet, T. A simple equilibration procedure leading to polynomial-degree-robust a posteriori error estimators for the curl-curl problem. (English) Zbl 07729918 Math. Comput. 92, No. 344, 2413-2437 (2023). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 78M10 65N15 65N50 65K10 49M41 78A30 35Q60 PDF BibTeX XML Cite \textit{T. Chaumont-Frelet}, Math. Comput. 92, No. 344, 2413--2437 (2023; Zbl 07729918) Full Text: DOI arXiv
Lamien, Kassiénou; Ouédraogo, Mamadou; Kere, Moumini; Saley, Bisso; Somé, Longin Experimentation of a family of iterative finite volume methods with moving grid to solve a Richard’s problem. (English) Zbl 07727282 Adv. Appl. Discrete Math. 37, 1-20 (2023). MSC: 65M08 65M50 76M12 PDF BibTeX XML Cite \textit{K. Lamien} et al., Adv. Appl. Discrete Math. 37, 1--20 (2023; Zbl 07727282) Full Text: DOI
Koné, Diakalia; Samaké, Abdoulaye; Koné, Yaya; Kassienou, Lamien A numerical framework for the dam break problem for shallow water equations using moving-grid finite volume method. (English) Zbl 07727269 Int. J. Numer. Methods Appl. 23, No. 1, 87-106 (2023). MSC: 35L65 65M08 65M50 76M12 PDF BibTeX XML Cite \textit{D. Koné} et al., Int. J. Numer. Methods Appl. 23, No. 1, 87--106 (2023; Zbl 07727269) Full Text: DOI
Almatrafi, M. B. Abundant traveling wave and numerical solutions for Novikov-Veselov system with their stability and accuracy. (English) Zbl 1517.65100 Appl. Anal. 102, No. 8, 2389-2402 (2023). MSC: 65N06 65N40 65N45 65N50 35A24 35B35 35Q51 35Q92 PDF BibTeX XML Cite \textit{M. B. Almatrafi}, Appl. Anal. 102, No. 8, 2389--2402 (2023; Zbl 1517.65100) Full Text: DOI
Yan, Li; Wang, Zhoufeng; Cheng, Yao Local discontinuous Galerkin method for a third-order singularly perturbed problem of convection-diffusion type. (English) Zbl 1517.65120 Comput. Methods Appl. Math. 23, No. 3, 751-766 (2023). MSC: 65N30 65N15 65N50 PDF BibTeX XML Cite \textit{L. Yan} et al., Comput. Methods Appl. Math. 23, No. 3, 751--766 (2023; Zbl 1517.65120) Full Text: DOI arXiv
Faustmann, Markus; Stephan, Ernst P.; Wörgötter, David Two-level error estimation for the integral fractional Laplacian. (English) Zbl 1517.65110 Comput. Methods Appl. Math. 23, No. 3, 603-621 (2023). MSC: 65N30 65N50 35R11 PDF BibTeX XML Cite \textit{M. Faustmann} et al., Comput. Methods Appl. Math. 23, No. 3, 603--621 (2023; Zbl 1517.65110) Full Text: DOI arXiv
Bracco, Cesare; Giannelli, Carlotta; Kapl, Mario; Vázquez, Rafael Adaptive isogeometric methods with \(C^1\) (truncated) hierarchical splines on planar multi-patch domains. (English) Zbl 1517.65012 Math. Models Methods Appl. Sci. 33, No. 9, 1829-1874 (2023). MSC: 65D07 65D17 65N30 65N50 PDF BibTeX XML Cite \textit{C. Bracco} et al., Math. Models Methods Appl. Sci. 33, No. 9, 1829--1874 (2023; Zbl 1517.65012) Full Text: DOI arXiv
Chu, Tianyang; Wang, Jilu; Wang, Na; Zhang, Zhimin Optimal-order convergence of a two-step BDF method for the Navier-Stokes equations with \(H^1\) initial data. (English) Zbl 07720245 J. Sci. Comput. 96, No. 2, Paper No. 62, 22 p. (2023). MSC: 35Q30 76D05 65M60 65M06 65N30 65M50 65B05 65M12 65M15 76M10 76M20 PDF BibTeX XML Cite \textit{T. Chu} et al., J. Sci. Comput. 96, No. 2, Paper No. 62, 22 p. (2023; Zbl 07720245) Full Text: DOI
Sharma, Amit; Rai, Pratima Analysis of a hybrid numerical scheme for singularly perturbed convection-diffusion type delay problems. (English) Zbl 07714939 Int. J. Comput. Methods 20, No. 1, Article ID 2250032, 28 p. (2023). MSC: 65L11 65L12 65L20 65L50 65L70 PDF BibTeX XML Cite \textit{A. Sharma} and \textit{P. Rai}, Int. J. Comput. Methods 20, No. 1, Article ID 2250032, 28 p. (2023; Zbl 07714939) Full Text: DOI
Garmanjani, G.; Banei, S.; Shanazari, K.; Azari, Y. An RBF-PUM finite difference scheme for forward-backward heat equation. (English) Zbl 07714789 Comput. Appl. Math. 42, No. 5, Paper No. 231, 34 p. (2023). MSC: 65M70 65M06 65M50 65Y20 PDF BibTeX XML Cite \textit{G. Garmanjani} et al., Comput. Appl. Math. 42, No. 5, Paper No. 231, 34 p. (2023; Zbl 07714789) Full Text: DOI
Cassara, Leonardo Sattler; Moreira Lopes, Muller; Oliveira Domingues, Margarete; Mendes, Odim; Deiterding, Ralf On thermodynamic consistency of generalised Lagrange multiplier magnetohydrodynamic solvers. (English) Zbl 07714781 Comput. Appl. Math. 42, No. 5, Paper No. 223, 17 p. (2023). MSC: 76W05 65M50 65Y20 76M12 PDF BibTeX XML Cite \textit{L. S. Cassara} et al., Comput. Appl. Math. 42, No. 5, Paper No. 223, 17 p. (2023; Zbl 07714781) Full Text: DOI
Lin, Lei; Lv, Jun-liang; Yue, Jing-yan; Yuan, Guang-wei Mesh conditions of the preserving-maximum-principle linear finite volume element method for anisotropic diffusion-convection-reaction equations. (English) Zbl 07712400 Acta Math. Appl. Sin., Engl. Ser. 39, No. 3, 707-732 (2023). MSC: 65N08 65N30 65N50 PDF BibTeX XML Cite \textit{L. Lin} et al., Acta Math. Appl. Sin., Engl. Ser. 39, No. 3, 707--732 (2023; Zbl 07712400) Full Text: DOI
Dong, Z.; Mascotto, L. \(hp\)-optimal interior penalty discontinuous Galerkin methods for the biharmonic problem. (English) Zbl 07708372 J. Sci. Comput. 96, No. 1, Paper No. 30, 32 p. (2023). MSC: 65N12 65N30 65N50 PDF BibTeX XML Cite \textit{Z. Dong} and \textit{L. Mascotto}, J. Sci. Comput. 96, No. 1, Paper No. 30, 32 p. (2023; Zbl 07708372) Full Text: DOI arXiv
Bai, Xiangyu; Sun, Jiebao; Shen, Jie; Yao, Wenjuan; Guo, Zhichang A Ginzburg-Landau-\({H}^{-1}\) model and its SAV algorithm for image inpainting. (English) Zbl 07708341 J. Sci. Comput. 96, No. 2, Paper No. 40, 27 p. (2023). MSC: 65M32 65M30 65M06 65M50 65H10 65D18 68U10 94A08 35A15 35R09 35Q56 35B05 PDF BibTeX XML Cite \textit{X. Bai} et al., J. Sci. Comput. 96, No. 2, Paper No. 40, 27 p. (2023; Zbl 07708341) Full Text: DOI
van der Sande, Kiera; Flyer, Natasha; Fornberg, Bengt Accelerating explicit time-stepping with spatially variable time steps through machine learning. (English) Zbl 07708332 J. Sci. Comput. 96, No. 1, Paper No. 31, 18 p. (2023). MSC: 65M50 65M70 65M06 65M20 PDF BibTeX XML Cite \textit{K. van der Sande} et al., J. Sci. Comput. 96, No. 1, Paper No. 31, 18 p. (2023; Zbl 07708332) Full Text: DOI
Armentano, María Gabriela; Lombardi, Ariel L.; Penessi, Cecilia Robust estimates in balanced norms for singularly perturbed reaction diffusion equations using graded meshes. (English) Zbl 1517.65104 J. Sci. Comput. 96, No. 1, Paper No. 18, 31 p. (2023). MSC: 65N30 65N15 65D05 65N50 35B25 35A15 PDF BibTeX XML Cite \textit{M. G. Armentano} et al., J. Sci. Comput. 96, No. 1, Paper No. 18, 31 p. (2023; Zbl 1517.65104) Full Text: DOI
Frittelli, Massimo; Madzvamuse, Anotida; Sgura, Ivonne The bulk-surface virtual element method for reaction-diffusion PDEs: analysis and applications. (English) Zbl 07708276 Commun. Comput. Phys. 33, No. 3, 733-763 (2023). MSC: 65-XX 35K57 65M12 65M15 65M20 65M50 65M60 PDF BibTeX XML Cite \textit{M. Frittelli} et al., Commun. Comput. Phys. 33, No. 3, 733--763 (2023; Zbl 07708276) Full Text: DOI
Heid, Pascal A short note on an adaptive damped Newton method for strongly monotone and Lipschitz continuous operator equations. (English) Zbl 07707509 Arch. Math. 121, No. 1, 55-65 (2023). MSC: 65J15 65N50 47H07 PDF BibTeX XML Cite \textit{P. Heid}, Arch. Math. 121, No. 1, 55--65 (2023; Zbl 07707509) Full Text: DOI arXiv
Watschinger, Raphael; Of, Günther A time-adaptive space-time FMM for the heat equation. (English) Zbl 1514.65121 Comput. Methods Appl. Math. 23, No. 2, 445-471 (2023). MSC: 65M38 65M50 PDF BibTeX XML Cite \textit{R. Watschinger} and \textit{G. Of}, Comput. Methods Appl. Math. 23, No. 2, 445--471 (2023; Zbl 1514.65121) Full Text: DOI
Sharma, Amit; Rai, Pratima Uniformly convergent hybrid numerical scheme for singularly perturbed turning point problems with delay. (English) Zbl 07705610 Int. J. Comput. Math. 100, No. 5, 1052-1077 (2023). MSC: 65L11 65L12 65L20 65L50 65L70 PDF BibTeX XML Cite \textit{A. Sharma} and \textit{P. Rai}, Int. J. Comput. Math. 100, No. 5, 1052--1077 (2023; Zbl 07705610) Full Text: DOI
Magri, Victor A. P.; Falgout, Robert D.; Yang, Ulrike M. A new semistructured algebraic multigrid method. (English) Zbl 1517.65127 SIAM J. Sci. Comput. 45, No. 3, S439-S460 (2023). MSC: 65N55 65F08 65F10 65Y05 PDF BibTeX XML Cite \textit{V. A. P. Magri} et al., SIAM J. Sci. Comput. 45, No. 3, S439--S460 (2023; Zbl 1517.65127) Full Text: DOI arXiv
Bacq, Pierre-Loïc; Notay, Yvan A new semialgebraic two-grid method for Oseen problems. (English) Zbl 07704372 SIAM J. Sci. Comput. 45, No. 3, S226-S253 (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65N22 65F10 65N55 65N50 65N12 76D07 76D05 35Q30 PDF BibTeX XML Cite \textit{P.-L. Bacq} and \textit{Y. Notay}, SIAM J. Sci. Comput. 45, No. 3, S226--S253 (2023; Zbl 07704372) Full Text: DOI
Peng, Han; Deiterding, Ralf A three-dimensional solver for simulating detonation on curvilinear adaptive meshes. (English) Zbl 1517.76046 Comput. Phys. Commun. 288, Article ID 108752, 17 p. (2023). MSC: 76M12 76V05 76L05 80A25 PDF BibTeX XML Cite \textit{H. Peng} and \textit{R. Deiterding}, Comput. Phys. Commun. 288, Article ID 108752, 17 p. (2023; Zbl 1517.76046) Full Text: DOI
Calegari, Priscila C.; Roma, Alexandre M.; Santos, Luis C. C.; Krieger Filho, Guenther C. An adaptive numerical method for simulating diffusion flame jets. (English) Zbl 07701020 Math. Comput. Simul. 207, 97-110 (2023). MSC: 76-XX 65-XX PDF BibTeX XML Cite \textit{P. C. Calegari} et al., Math. Comput. Simul. 207, 97--110 (2023; Zbl 07701020) Full Text: DOI
Li, Wenbo; Salgado, Abner J. Time fractional gradient flows: theory and numerics. (English) Zbl 1514.34110 Math. Models Methods Appl. Sci. 33, No. 2, 377-453 (2023). MSC: 34G25 34A08 35R11 65J08 65M06 65M15 65M50 PDF BibTeX XML Cite \textit{W. Li} and \textit{A. J. Salgado}, Math. Models Methods Appl. Sci. 33, No. 2, 377--453 (2023; Zbl 1514.34110) Full Text: DOI arXiv
Cheng, Yao; Wang, Xuesong Optimal pointwise convergence of the LDG method for singularly perturbed convection-diffusion problem. (English) Zbl 1517.65084 Appl. Math. Lett. 140, Article ID 108590, 10 p. (2023). MSC: 65M60 65M12 65M15 65N50 76R50 76N06 35B25 35Q30 PDF BibTeX XML Cite \textit{Y. Cheng} and \textit{X. Wang}, Appl. Math. Lett. 140, Article ID 108590, 10 p. (2023; Zbl 1517.65084) Full Text: DOI
Yang, Bohan; Rui, Hongxing A robust discrete scheme based on staggered grids for poroelastic-elastic coupled problems. (English) Zbl 1516.65116 J. Sci. Comput. 95, No. 1, Paper No. 25, 41 p. (2023). MSC: 65N06 65M06 65N12 65N15 65N55 65N50 65D05 74F10 74L10 74S20 35Q74 PDF BibTeX XML Cite \textit{B. Yang} and \textit{H. Rui}, J. Sci. Comput. 95, No. 1, Paper No. 25, 41 p. (2023; Zbl 1516.65116) Full Text: DOI
Lu, Peipei; Rupp, Andreas; Kanschat, Guido Two-level Schwarz methods for hybridizable discontinuous Galerkin methods. (English) Zbl 07698904 J. Sci. Comput. 95, No. 1, Paper No. 9, 16 p. (2023). MSC: 65Nxx 65F10 65N30 65N50 PDF BibTeX XML Cite \textit{P. Lu} et al., J. Sci. Comput. 95, No. 1, Paper No. 9, 16 p. (2023; Zbl 07698904) Full Text: DOI
Leng, Haitao Error estimates of EDG-HDG methods for the Stokes equations with Dirac measures. (English) Zbl 07698894 J. Sci. Comput. 94, No. 3, Paper No. 66, 31 p. (2023). MSC: 65-XX 35-XX 65K10 65M50 PDF BibTeX XML Cite \textit{H. Leng}, J. Sci. Comput. 94, No. 3, Paper No. 66, 31 p. (2023; Zbl 07698894) Full Text: DOI
Meng, Jian; Beirão da Veiga, Lourenço; Mascotto, Lorenzo Stability and interpolation properties for Stokes-like virtual element spaces. (English) Zbl 1516.65137 J. Sci. Comput. 94, No. 3, Paper No. 56, 23 p. (2023). MSC: 65N30 65N50 65D05 65N12 76D07 35Q35 PDF BibTeX XML Cite \textit{J. Meng} et al., J. Sci. Comput. 94, No. 3, Paper No. 56, 23 p. (2023; Zbl 1516.65137) Full Text: DOI arXiv
Calhoun, Donna; Chudzik, Erik; Helzel, Christiane The Cartesian grid active flux method with adaptive mesh refinement. (English) Zbl 1516.65072 J. Sci. Comput. 94, No. 3, Paper No. 54, 31 p. (2023). MSC: 65M08 65L06 65N08 65M25 65D32 65N50 35L65 PDF BibTeX XML Cite \textit{D. Calhoun} et al., J. Sci. Comput. 94, No. 3, Paper No. 54, 31 p. (2023; Zbl 1516.65072) Full Text: DOI arXiv
Leng, Haitao A posteriori error analysis for pressure-robust HDG methods for the stationary incompressible Navier-Stokes equations. (English) Zbl 1517.35156 J. Sci. Comput. 94, No. 3, Paper No. 52, 24 p. (2023). MSC: 35Q30 76D05 49M25 35B45 65N30 65N50 65K10 65N15 47J26 PDF BibTeX XML Cite \textit{H. Leng}, J. Sci. Comput. 94, No. 3, Paper No. 52, 24 p. (2023; Zbl 1517.35156) Full Text: DOI
Michel, Sixtine; Torlo, Davide; Ricchiuto, Mario; Abgrall, Rémi Spectral analysis of high order continuous FEM for hyperbolic PDEs on triangular meshes: influence of approximation, stabilization, and time-stepping. (English) Zbl 1517.65088 J. Sci. Comput. 94, No. 3, Paper No. 49, 48 p. (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 65M06 65L06 65N30 65N50 65F15 65D32 65M12 65M15 PDF BibTeX XML Cite \textit{S. Michel} et al., J. Sci. Comput. 94, No. 3, Paper No. 49, 48 p. (2023; Zbl 1517.65088) Full Text: DOI arXiv
Dolejší, Vít; May, Georg An anisotropic hp-mesh adaptation method for time-dependent problems based on interpolation error control. (English) Zbl 07698849 J. Sci. Comput. 95, No. 2, Paper No. 36, 31 p. (2023). MSC: 65N50 65M60 65N15 65D05 76B47 76N10 35A01 35A02 35Q35 PDF BibTeX XML Cite \textit{V. Dolejší} and \textit{G. May}, J. Sci. Comput. 95, No. 2, Paper No. 36, 31 p. (2023; Zbl 07698849) Full Text: DOI
Bonetti, Elena; Cavaterra, Cecilia; Freddi, Francesco; Grasselli, Maurizio; Natalini, Roberto A nonlinear model for marble sulphation including surface rugosity and mechanical damage. (English) Zbl 07698285 Nonlinear Anal., Real World Appl. 73, Article ID 103886, 32 p. (2023). MSC: 35Q74 74R99 74F10 74B10 76V05 80A32 35B65 35D30 65M60 65M06 65N30 65N50 65K10 65Y05 65F10 74S05 PDF BibTeX XML Cite \textit{E. Bonetti} et al., Nonlinear Anal., Real World Appl. 73, Article ID 103886, 32 p. (2023; Zbl 07698285) Full Text: DOI
Dolejší, Vít; Congreve, Scott Goal-oriented error analysis of iterative Galerkin discretizations for nonlinear problems including linearization and algebraic errors. (English) Zbl 1512.65264 J. Comput. Appl. Math. 427, Article ID 115134, 17 p. (2023). MSC: 65N30 65N15 65N50 PDF BibTeX XML Cite \textit{V. Dolejší} and \textit{S. Congreve}, J. Comput. Appl. Math. 427, Article ID 115134, 17 p. (2023; Zbl 1512.65264) Full Text: DOI arXiv
Orlando, Giuseppe; Benacchio, Tommaso; Bonaventura, Luca An IMEX-DG solver for atmospheric dynamics simulations with adaptive mesh refinement. (English) Zbl 07698169 J. Comput. Appl. Math. 427, Article ID 115124, 17 p. (2023). MSC: 65Mxx 76Mxx 86Axx PDF BibTeX XML Cite \textit{G. Orlando} et al., J. Comput. Appl. Math. 427, Article ID 115124, 17 p. (2023; Zbl 07698169) Full Text: DOI arXiv
Kuhn, Michael B.; Deskos, Georgios; Sprague, Michael A. A mass-momentum consistent coupling for mesh-adaptive two-phase flow simulations. (English) Zbl 07697268 Comput. Fluids 252, Article ID 105770, 18 p. (2023). MSC: 76-XX PDF BibTeX XML Cite \textit{M. B. Kuhn} et al., Comput. Fluids 252, Article ID 105770, 18 p. (2023; Zbl 07697268) Full Text: DOI
Ming, He; Qin, Jian; Gao, Peng Early stage of bubble spreading in a viscous ambient liquid. (English) Zbl 1516.76086 J. Fluid Mech. 964, Paper No. A41, 22 p. (2023). MSC: 76T10 76D07 76D45 76M15 PDF BibTeX XML Cite \textit{H. Ming} et al., J. Fluid Mech. 964, Paper No. A41, 22 p. (2023; Zbl 1516.76086) Full Text: DOI
Ciarlet, Patrick jun.; Lassounon, David; Rihani, Mahran An optimal control-based numerical method for scalar transmission problems with sign-changing coefficients. (English) Zbl 1517.65105 SIAM J. Numer. Anal. 61, No. 3, 1316-1339 (2023). Reviewer: Petr Sváček (Praha) MSC: 65N30 65N50 65J20 93C20 78A48 PDF BibTeX XML Cite \textit{P. Ciarlet jun.} et al., SIAM J. Numer. Anal. 61, No. 3, 1316--1339 (2023; Zbl 1517.65105) Full Text: DOI arXiv
Zhou, Yu; Wu, Haijun Dispersion analysis of CIP-FEM for the Helmholtz equation. (English) Zbl 07695658 SIAM J. Numer. Anal. 61, No. 3, 1278-1292 (2023). MSC: 65N15 65N30 65N50 76B15 35J05 PDF BibTeX XML Cite \textit{Y. Zhou} and \textit{H. Wu}, SIAM J. Numer. Anal. 61, No. 3, 1278--1292 (2023; Zbl 07695658) Full Text: DOI arXiv
Singh, Satpal; Kumar, Devendra; Vigo-Aguiar, J. A robust numerical technique for weakly coupled system of parabolic singularly perturbed reaction-diffusion equations. (English) Zbl 07695650 J. Math. Chem. 61, No. 6, 1313-1350 (2023). MSC: 65-XX 35B25 35B50 35K51 35K57 65L70 65M12 65M15 65M22 65M50 PDF BibTeX XML Cite \textit{S. Singh} et al., J. Math. Chem. 61, No. 6, 1313--1350 (2023; Zbl 07695650) Full Text: DOI
Karuthedath, Philip Luke; Gupta, Abhinav; Mamindlapelly, Bhagath; Chowdhury, Rajib A continuous field adaptive mesh refinement algorithm for isogeometric topology optimization using PHT-splines. (English) Zbl 07692980 Comput. Methods Appl. Mech. Eng. 412, Article ID 116075, 38 p. (2023). MSC: 65-XX 76-XX PDF BibTeX XML Cite \textit{P. L. Karuthedath} et al., Comput. Methods Appl. Mech. Eng. 412, Article ID 116075, 38 p. (2023; Zbl 07692980) Full Text: DOI
Wijesinghe, Dakshith Ruvin; Natarajan, Sundararajan; You, Greg; Khandelwal, Manoj; Dyson, Ashley; Song, Chongmin; Ooi, Ean Tat Adaptive phase-field modelling of fracture propagation in poroelastic media using the scaled boundary finite element method. (English) Zbl 07692957 Comput. Methods Appl. Mech. Eng. 411, Article ID 116056, 27 p. (2023). MSC: 74-XX 76-XX PDF BibTeX XML Cite \textit{D. R. Wijesinghe} et al., Comput. Methods Appl. Mech. Eng. 411, Article ID 116056, 27 p. (2023; Zbl 07692957) Full Text: DOI
Tannahill, Connor; Wan, Justin MM-ADMM: implicit integration of MMPDEs in parallel. (English) Zbl 07691968 Comput. Math. Appl. 141, 67-79 (2023). MSC: 65-XX 76-XX PDF BibTeX XML Cite \textit{C. Tannahill} and \textit{J. Wan}, Comput. Math. Appl. 141, 67--79 (2023; Zbl 07691968) Full Text: DOI
Bartels, Sören; Kaltenbach, Alex Explicit and efficient error estimation for convex minimization problems. (English) Zbl 07689730 Math. Comput. 92, No. 343, 2247-2279 (2023). MSC: 65K15 65N15 65N50 49M29 PDF BibTeX XML Cite \textit{S. Bartels} and \textit{A. Kaltenbach}, Math. Comput. 92, No. 343, 2247--2279 (2023; Zbl 07689730) Full Text: DOI arXiv
Cheng, Yao; Jiang, Shan; Stynes, Martin Supercloseness of the local discontinuous Galerkin method for a singularly perturbed convection-diffusion problem. (English) Zbl 1515.65286 Math. Comput. 92, No. 343, 2065-2095 (2023). MSC: 65N30 65N50 65N15 65N12 35B25 35J25 PDF BibTeX XML Cite \textit{Y. Cheng} et al., Math. Comput. 92, No. 343, 2065--2095 (2023; Zbl 1515.65286) Full Text: DOI arXiv
Baňas, Ľubomír; Vieth, Christian Robust a posteriori estimates for the stochastic Cahn-Hilliard equation. (English) Zbl 07689724 Math. Comput. 92, No. 343, 2025-2063 (2023). MSC: 65M15 65M50 65M60 65C30 35K91 35R60 60H15 60H35 PDF BibTeX XML Cite \textit{Ľ. Baňas} and \textit{C. Vieth}, Math. Comput. 92, No. 343, 2025--2063 (2023; Zbl 07689724) Full Text: DOI arXiv
Hanot, Marien-Lorenzo An arbitrary-order fully discrete Stokes complex on general polyhedral meshes. (English) Zbl 1516.65131 Math. Comput. 92, No. 343, 1977-2023 (2023). Reviewer: Xiaodi Zhang (Zhengzhou) MSC: 65N30 65N50 76D07 76W05 58A12 PDF BibTeX XML Cite \textit{M.-L. Hanot}, Math. Comput. 92, No. 343, 1977--2023 (2023; Zbl 1516.65131) Full Text: DOI arXiv
Daniel, Patrik; Vohralík, Martin Guaranteed contraction of adaptive inexact hp-refinement strategies with realistic stopping criteria. (English) Zbl 1516.65126 ESAIM, Math. Model. Numer. Anal. 57, No. 1, 329-366 (2023). Reviewer: Xiaodi Zhang (Zhengzhou) MSC: 65N30 65N15 65N12 65N50 PDF BibTeX XML Cite \textit{P. Daniel} and \textit{M. Vohralík}, ESAIM, Math. Model. Numer. Anal. 57, No. 1, 329--366 (2023; Zbl 1516.65126) Full Text: DOI
Leng, Haitao Analysis of an HDG method for the Navier-Stokes equations with Dirac measures. (English) Zbl 1516.65135 ESAIM, Math. Model. Numer. Anal. 57, No. 1, 271-297 (2023). MSC: 65N30 65N50 65N15 76D05 76M10 35R06 PDF BibTeX XML Cite \textit{H. Leng}, ESAIM, Math. Model. Numer. Anal. 57, No. 1, 271--297 (2023; Zbl 1516.65135) Full Text: DOI
Perugia, Ilaria; Schwab, Christoph; Zank, Marco Exponential convergence of \(hp\)-time-stepping in space-time discretizations of parabolic PDEs. (English) Zbl 1516.65097 ESAIM, Math. Model. Numer. Anal. 57, No. 1, 29-67 (2023). Reviewer: Petr Sváček (Praha) MSC: 65M60 65N30 65J15 65N12 65N50 35B65 PDF BibTeX XML Cite \textit{I. Perugia} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 1, 29--67 (2023; Zbl 1516.65097) Full Text: DOI arXiv
Ciarlet, Patrick; Do, Minh Hieu; Madiot, François A posteriori error estimates for mixed finite element discretizations of the neutron diffusion equations. (English) Zbl 1515.65127 ESAIM, Math. Model. Numer. Anal. 57, No. 1, 1-27 (2023). MSC: 65J10 65N15 65N30 65N50 PDF BibTeX XML Cite \textit{P. Ciarlet} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 1, 1--27 (2023; Zbl 1515.65127) Full Text: DOI
Wu, Jilian; Li, Ning; Feng, Xinlong Analysis of a filtered time-stepping finite element method for natural convection problems. (English) Zbl 1515.65251 SIAM J. Numer. Anal. 61, No. 2, 837-871 (2023). MSC: 65M60 65M06 65N30 65N50 65N12 65N15 80A19 76R10 35Q79 35Q35 PDF BibTeX XML Cite \textit{J. Wu} et al., SIAM J. Numer. Anal. 61, No. 2, 837--871 (2023; Zbl 1515.65251) Full Text: DOI
Thi-Thao-Phuong Hoang; Pop, Iuliu Sorin Iterative methods with nonconforming time grids for nonlinear flow problems in porous media. (English) Zbl 1516.65082 Acta Math. Vietnam. 48, No. 1, 29-49 (2023). MSC: 65M55 65M60 65M06 65N30 65H10 65F10 65Y05 65M50 76S05 35K55 35Q35 PDF BibTeX XML Cite \textit{Thi-Thao-Phuong Hoang} and \textit{I. S. Pop}, Acta Math. Vietnam. 48, No. 1, 29--49 (2023; Zbl 1516.65082) Full Text: DOI
Shyaman, V. P.; Sreelakshmi, A.; Awasthi, Ashish A higher order implicit adaptive finite point method for the Burgers’ equation. (English) Zbl 07686651 J. Difference Equ. Appl. 29, No. 3, 235-269 (2023). MSC: 65M06 65N06 65M12 65M50 41A21 35Q53 PDF BibTeX XML Cite \textit{V. P. Shyaman} et al., J. Difference Equ. Appl. 29, No. 3, 235--269 (2023; Zbl 07686651) Full Text: DOI
Bermejo, Rodolfo; Carpio, Jaime; Saavedra, Laura New error estimates of Lagrange-Galerkin methods for the advection equation. (English) Zbl 07686461 Calcolo 60, No. 1, Paper No. 16, 37 p. (2023). MSC: 65M12 65M25 65M60 65M50 PDF BibTeX XML Cite \textit{R. Bermejo} et al., Calcolo 60, No. 1, Paper No. 16, 37 p. (2023; Zbl 07686461) Full Text: DOI arXiv
Xie, Hehu; Xie, Manting; Yin, Xiaobo; Zhao, Gang An efficient adaptive mesh redistribution method for nonlinear eigenvalue problems in Bose-Einstein condensates. (English) Zbl 1512.65255 J. Sci. Comput. 94, No. 2, Paper No. 37, 20 p. (2023). MSC: 65N25 65N30 65N55 65N50 65F15 65F50 82B10 82M10 35Q82 35R37 PDF BibTeX XML Cite \textit{H. Xie} et al., J. Sci. Comput. 94, No. 2, Paper No. 37, 20 p. (2023; Zbl 1512.65255) Full Text: DOI
Dang, Haikun; Xie, Hehu; Zhao, Gang; Zhou, Chenguang A nonnested augmented subspace method for elliptic eigenvalue problems with curved interfaces. (English) Zbl 1512.65252 J. Sci. Comput. 94, No. 2, Paper No. 34, 20 p. (2023). MSC: 65N25 65N30 65N55 65N50 65N15 PDF BibTeX XML Cite \textit{H. Dang} et al., J. Sci. Comput. 94, No. 2, Paper No. 34, 20 p. (2023; Zbl 1512.65252) Full Text: DOI arXiv
Fish, Alex C.; Reynolds, Daniel R. Adaptive time step control for multirate infinitesimal methods. (English) Zbl 1515.65210 SIAM J. Sci. Comput. 45, No. 2, A958-A984 (2023). MSC: 65L50 65L05 65L06 PDF BibTeX XML Cite \textit{A. C. Fish} and \textit{D. R. Reynolds}, SIAM J. Sci. Comput. 45, No. 2, A958--A984 (2023; Zbl 1515.65210) Full Text: DOI arXiv
Binev, Peter; Fierro, Francesca; Veeser, Andreas Near-best adaptive approximation on conforming meshes. (English) Zbl 07680064 Constr. Approx. 57, No. 2, 327-349 (2023). MSC: 41A15 41A63 65D15 65M50 65M60 68Q32 68W25 PDF BibTeX XML Cite \textit{P. Binev} et al., Constr. Approx. 57, No. 2, 327--349 (2023; Zbl 07680064) Full Text: DOI arXiv
Wang, Wansheng; Li, Shoufu Efficient stability-preserving numerical methods for nonlinear coercive problems in vector space. (English) Zbl 07679130 SIAM J. Numer. Anal. 61, No. 2, 872-904 (2023). MSC: 65M15 65M50 65L03 65L70 65L20 PDF BibTeX XML Cite \textit{W. Wang} and \textit{S. Li}, SIAM J. Numer. Anal. 61, No. 2, 872--904 (2023; Zbl 07679130) Full Text: DOI
Carstensen, Carsten; Puttkammer, Sophie Direct guaranteed lower eigenvalue bounds with optimal a priori convergence rates for the bi-Laplacian. (English) Zbl 07679129 SIAM J. Numer. Anal. 61, No. 2, 812-836 (2023). Reviewer: Chandrasekhar Salimath (Bengaluru) MSC: 65N25 65N30 65N15 65N12 65D05 65N50 49J35 31A30 PDF BibTeX XML Cite \textit{C. Carstensen} and \textit{S. Puttkammer}, SIAM J. Numer. Anal. 61, No. 2, 812--836 (2023; Zbl 07679129) Full Text: DOI arXiv
Amrein, Mario; Heid, Pascal; Wihler, Thomas P. A numerical energy reduction approach for semilinear diffusion-reaction boundary value problems based on steady-state iterations. (English) Zbl 07679127 SIAM J. Numer. Anal. 61, No. 2, 755-783 (2023). MSC: 65-XX 35A15 35B38 65J15 47J05 65M25 65M50 PDF BibTeX XML Cite \textit{M. Amrein} et al., SIAM J. Numer. Anal. 61, No. 2, 755--783 (2023; Zbl 07679127) Full Text: DOI arXiv
Offermans, Nicolas; Massaro, Daniele; Peplinski, Adam; Schlatter, Philipp Error-driven adaptive mesh refinement for unsteady turbulent flows in spectral-element simulations. (English) Zbl 07678064 Comput. Fluids 251, Article ID 105736, 18 p. (2023). MSC: 76-XX PDF BibTeX XML Cite \textit{N. Offermans} et al., Comput. Fluids 251, Article ID 105736, 18 p. (2023; Zbl 07678064) Full Text: DOI
Sharma, Amit; Rai, Pratima Analysis of a higher order uniformly convergent method for singularly perturbed parabolic delay problems. (English) Zbl 1511.65086 Appl. Math. Comput. 448, Article ID 127906, 23 p. (2023). MSC: 65M06 35Q92 65M12 65M15 65M50 PDF BibTeX XML Cite \textit{A. Sharma} and \textit{P. Rai}, Appl. Math. Comput. 448, Article ID 127906, 23 p. (2023; Zbl 1511.65086) Full Text: DOI
Li, Yancheng; Liu, Cong; Li, Wei; Chai, Yingbin Numerical investigation of the element-free Galerkin method (EFGM) with appropriate temporal discretization techniques for transient wave propagation problems. (English) Zbl 1511.74058 Appl. Math. Comput. 442, Article ID 127755, 31 p. (2023). MSC: 74S05 65N30 65N50 74J05 PDF BibTeX XML Cite \textit{Y. Li} et al., Appl. Math. Comput. 442, Article ID 127755, 31 p. (2023; Zbl 1511.74058) Full Text: DOI
Innerberger, Michael; Praetorius, Dirk MooAFEM: an object oriented Matlab code for higher-order adaptive FEM for (nonlinear) elliptic PDEs. (English) Zbl 1511.65003 Appl. Math. Comput. 442, Article ID 127731, 17 p. (2023). MSC: 65-04 65N30 65N50 68W30 PDF BibTeX XML Cite \textit{M. Innerberger} and \textit{D. Praetorius}, Appl. Math. Comput. 442, Article ID 127731, 17 p. (2023; Zbl 1511.65003) Full Text: DOI arXiv
Bespalov, Alex; Silvester, David Error estimation and adaptivity for stochastic collocation finite elements. II: Multilevel approximation. (English) Zbl 07676560 SIAM J. Sci. Comput. 45, No. 2, A784-A800 (2023). MSC: 65-XX 35R60 65N15 65N30 65N35 65N50 65C20 PDF BibTeX XML Cite \textit{A. Bespalov} and \textit{D. Silvester}, SIAM J. Sci. Comput. 45, No. 2, A784--A800 (2023; Zbl 07676560) Full Text: DOI arXiv
Griebel, Michael; Schweitzer, Marc A.; Troska, Lukas A dimension-oblivious domain decomposition method based on space-filling curves. (English) Zbl 07676557 SIAM J. Sci. Comput. 45, No. 2, A369-A396 (2023). MSC: 65N55 65N50 65N30 65F08 65F50 65Y05 PDF BibTeX XML Cite \textit{M. Griebel} et al., SIAM J. Sci. Comput. 45, No. 2, A369--A396 (2023; Zbl 07676557) Full Text: DOI arXiv
Müller, Peter Marvin; Pinzón, José; Rung, Thomas; Siebenborn, Martin A scalable algorithm for shape optimization with geometric constraints in Banach spaces. (English) Zbl 1512.35598 SIAM J. Sci. Comput. 45, No. 2, B231-B251 (2023). MSC: 35Q93 35Q30 76D05 49Q10 49M41 65N55 65N50 65K10 65Y05 PDF BibTeX XML Cite \textit{P. M. Müller} et al., SIAM J. Sci. Comput. 45, No. 2, B231--B251 (2023; Zbl 1512.35598) Full Text: DOI arXiv
Zhang, Jin; Liu, Xiaowei Supercloseness and postprocessing for linear finite element method on Bakhvalov-type meshes. (English) Zbl 07676493 Numer. Algorithms 92, No. 3, 1553-1570 (2023). MSC: 65L60 65L10 65L50 65L20 65L70 PDF BibTeX XML Cite \textit{J. Zhang} and \textit{X. Liu}, Numer. Algorithms 92, No. 3, 1553--1570 (2023; Zbl 07676493) Full Text: DOI
Ali, Ihteram; Haq, Sirajul; Ullah, Rahman; Arifeen, Shams Ul Approximate solution of second order singular perturbed and obstacle boundary value problems using meshless method based on radial basis functions. (English) Zbl 1509.65066 J. Nonlinear Math. Phys. 30, No. 1, 215-234 (2023). MSC: 65L10 65D12 65L11 65L50 PDF BibTeX XML Cite \textit{I. Ali} et al., J. Nonlinear Math. Phys. 30, No. 1, 215--234 (2023; Zbl 1509.65066) Full Text: DOI
Dem’yanovich, Yu. K.; Lebedinskaya, N. A. Local refinement of solutions in the finite element method. (English. Russian original) Zbl 1512.65162 J. Math. Sci., New York 269, No. 1, 18-35 (2023); translation from Probl. Mat. Anal. 120, 19-33 (2023). MSC: 65L50 65L60 65L10 PDF BibTeX XML Cite \textit{Yu. K. Dem'yanovich} and \textit{N. A. Lebedinskaya}, J. Math. Sci., New York 269, No. 1, 18--35 (2023; Zbl 1512.65162); translation from Probl. Mat. Anal. 120, 19--33 (2023) Full Text: DOI
Muthsam, H. Book review of: M. Griebel (ed.) and M. A. Schweitzer (ed.), Meshfree methods for partial differential equations IX. (English) Zbl 1508.00004 Monatsh. Math. 200, No. 4, 972 (2023). MSC: 00A17 65-06 65M50 65N50 00B25 PDF BibTeX XML Cite \textit{H. Muthsam}, Monatsh. Math. 200, No. 4, 972 (2023; Zbl 1508.00004) Full Text: DOI
Alonso Rodríguez, A.; Camaño, J. A graph-based algorithm for the approximation of the spectrum of the curl operator. (English) Zbl 07673284 SIAM J. Sci. Comput. 45, No. 1, A147-A169 (2023). Reviewer: Temur A. Jangveladze (Tbilisi) MSC: 65N25 65N30 78M10 65N50 PDF BibTeX XML Cite \textit{A. Alonso Rodríguez} and \textit{J. Camaño}, SIAM J. Sci. Comput. 45, No. 1, A147--A169 (2023; Zbl 07673284) Full Text: DOI
Zhang, Min; Huang, Weizhang; Qiu, Jianxian A study on CFL conditions for the DG solution of conservation laws on adaptive moving meshes. (English) Zbl 07672344 Numer. Math., Theory Methods Appl. 16, No. 1, 111-139 (2023). MSC: 65M50 65M60 PDF BibTeX XML Cite \textit{M. Zhang} et al., Numer. Math., Theory Methods Appl. 16, No. 1, 111--139 (2023; Zbl 07672344) Full Text: DOI arXiv
Xu, Yuesheng; Zeng, Taishan Sparse deep neural network for nonlinear partial differential equations. (English) Zbl 07672342 Numer. Math., Theory Methods Appl. 16, No. 1, 58-78 (2023). MSC: 68T07 65D15 65F50 47A52 65N50 PDF BibTeX XML Cite \textit{Y. Xu} and \textit{T. Zeng}, Numer. Math., Theory Methods Appl. 16, No. 1, 58--78 (2023; Zbl 07672342) Full Text: DOI arXiv
Bringmann, Philipp How to prove optimal convergence rates for adaptive least-squares finite element methods. (English) Zbl 1515.65285 J. Numer. Math. 31, No. 1, 43-58 (2023). Reviewer: Xiaodi Zhang (Zhengzhou) MSC: 65N30 65K10 65N50 65N12 65N15 65Y20 42A20 35J05 76D07 74B10 74J05 PDF BibTeX XML Cite \textit{P. Bringmann}, J. Numer. Math. 31, No. 1, 43--58 (2023; Zbl 1515.65285) Full Text: DOI
Beirão da Veiga, L.; Canuto, C.; Nochetto, R. H.; Vacca, G.; Verani, M. Adaptive VEM: stabilization-free a posteriori error analysis and contraction property. (English) Zbl 1512.65258 SIAM J. Numer. Anal. 61, No. 2, 457-494 (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N50 65N15 65N12 65N85 PDF BibTeX XML Cite \textit{L. Beirão da Veiga} et al., SIAM J. Numer. Anal. 61, No. 2, 457--494 (2023; Zbl 1512.65258) Full Text: DOI arXiv
Heltai, Luca; Lei, Wenyu Adaptive finite element approximations for elliptic problems using regularized forcing data. (English) Zbl 1515.65292 SIAM J. Numer. Anal. 61, No. 2, 431-456 (2023). Reviewer: Xiaodi Zhang (Zhengzhou) MSC: 65N30 65N50 65N15 35B65 PDF BibTeX XML Cite \textit{L. Heltai} and \textit{W. Lei}, SIAM J. Numer. Anal. 61, No. 2, 431--456 (2023; Zbl 1515.65292) Full Text: DOI arXiv
Antonietti, Paola F.; Berrone, Stefano; Busetto, Martina; Verani, Marco Agglomeration-based geometric multigrid schemes for the virtual element method. (English) Zbl 1512.65290 SIAM J. Numer. Anal. 61, No. 1, 223-249 (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65N55 65N50 65N30 65N22 65N12 PDF BibTeX XML Cite \textit{P. F. Antonietti} et al., SIAM J. Numer. Anal. 61, No. 1, 223--249 (2023; Zbl 1512.65290) Full Text: DOI arXiv
Cao, Huihui; Huang, Yunqing; Yi, Nianyu Gradient recovery based a posteriori error estimator for the adaptive direct discontinuous Galerkin method. (English) Zbl 1514.65163 Calcolo 60, No. 1, Paper No. 18, 29 p. (2023). MSC: 65N30 65N50 65K10 65N12 65N15 PDF BibTeX XML Cite \textit{H. Cao} et al., Calcolo 60, No. 1, Paper No. 18, 29 p. (2023; Zbl 1514.65163) Full Text: DOI
Siyu, Bai; Hongying, Huang Coupling of direct discontinuous Galerkin method and natural boundary element method for exterior interface problems with curved elements. (English) Zbl 1511.65128 Adv. Comput. Math. 49, No. 1, Paper No. 6, 23 p. (2023). MSC: 65N30 65N38 65N15 65N12 65N50 PDF BibTeX XML Cite \textit{B. Siyu} and \textit{H. Hongying}, Adv. Comput. Math. 49, No. 1, Paper No. 6, 23 p. (2023; Zbl 1511.65128) Full Text: DOI
Teunissen, Jannis; Schiavello, Francesca Geometric multigrid method for solving Poisson’s equation on octree grids with irregular boundaries. (English) Zbl 1514.65193 Comput. Phys. Commun. 286, Article ID 108665, 8 p. (2023). MSC: 65N55 65N50 65N06 65F10 78A30 78A35 PDF BibTeX XML Cite \textit{J. Teunissen} and \textit{F. Schiavello}, Comput. Phys. Commun. 286, Article ID 108665, 8 p. (2023; Zbl 1514.65193) Full Text: DOI arXiv
Balsara, Dinshaw S.; Samantaray, Saurav; Subramanian, Sethupathy Efficient WENO-based prolongation strategies for divergence-preserving vector fields. (English) Zbl 07666154 Commun. Appl. Math. Comput. 5, No. 1, 428-484 (2023). MSC: 65M08 65M22 65M50 35Q61 76W05 PDF BibTeX XML Cite \textit{D. S. Balsara} et al., Commun. Appl. Math. Comput. 5, No. 1, 428--484 (2023; Zbl 07666154) Full Text: DOI