Liu, Tong-Rui; Aldakheel, Fadi; Aliabadi, M. H. Hydrogen assisted cracking using an efficient virtual element scheme. (English) Zbl 07820253 Comput. Methods Appl. Mech. Eng. 420, Article ID 116708, 27 p. (2024). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{T.-R. Liu} et al., Comput. Methods Appl. Mech. Eng. 420, Article ID 116708, 27 p. (2024; Zbl 07820253) Full Text: DOI
Credali, Fabio; Bertoluzza, Silvia; Prada, Daniele Reduced basis stabilization and post-processing for the virtual element method. (English) Zbl 07820239 Comput. Methods Appl. Mech. Eng. 420, Article ID 116693, 24 p. (2024). MSC: 65-XX 74-XX PDFBibTeX XMLCite \textit{F. Credali} et al., Comput. Methods Appl. Mech. Eng. 420, Article ID 116693, 24 p. (2024; Zbl 07820239) Full Text: DOI arXiv
Chen, Chunyu; Huang, Xuehai; Wei, Huayi Virtual element methods without extrinsic stabilization. (English) Zbl 07813246 SIAM J. Numer. Anal. 62, No. 1, 567-591 (2024). MSC: 65N30 65N12 65N15 65N22 35J15 PDFBibTeX XMLCite \textit{C. Chen} et al., SIAM J. Numer. Anal. 62, No. 1, 567--591 (2024; Zbl 07813246) Full Text: DOI arXiv
Kumar, Sarvesh; Mora, David; Ruiz-Baier, Ricardo; Verma, Nitesh Numerical solution of the Biot/elasticity interface problem using virtual element methods. (English) Zbl 07802472 J. Sci. Comput. 98, No. 3, Paper No. 53, 32 p. (2024). MSC: 65M60 65M06 65N30 65M12 65M15 65N15 74F10 74L10 74L15 76S05 35A01 35A02 35D30 74S05 74S20 35Q74 PDFBibTeX XMLCite \textit{S. Kumar} et al., J. Sci. Comput. 98, No. 3, Paper No. 53, 32 p. (2024; Zbl 07802472) Full Text: DOI arXiv
Zheng, Xianyan; Chen, Jinru; Wang, Feng An extended virtual element method for elliptic interface problems. (English) Zbl 07801634 Comput. Math. Appl. 156, 87-102 (2024). MSC: 65-XX 74-XX PDFBibTeX XMLCite \textit{X. Zheng} et al., Comput. Math. Appl. 156, 87--102 (2024; Zbl 07801634) Full Text: DOI
Wells, H.; Hubbard, M. E.; Cangiani, A. A velocity-based moving mesh virtual element method. (English) Zbl 07801616 Comput. Math. Appl. 155, 110-125 (2024). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{H. Wells} et al., Comput. Math. Appl. 155, 110--125 (2024; Zbl 07801616) Full Text: DOI arXiv
Huynh, Ngoc Mai Monica Convergence analysis for virtual element discretizations of the cardiac bidomain model. (English) Zbl 07788959 J. Sci. Comput. 98, No. 2, Paper No. 37, 25 p. (2024). MSC: 65N12 65M12 65N15 78A70 92C30 35Q92 PDFBibTeX XMLCite \textit{N. M. M. Huynh}, J. Sci. Comput. 98, No. 2, Paper No. 37, 25 p. (2024; Zbl 07788959) Full Text: DOI
Li, Yang; Hu, Chaolang; Feng, Minfu On stabilized equal-order virtual element methods for the Navier-Stokes equations on polygonal meshes. (English) Zbl 07784363 Comput. Math. Appl. 154, 267-286 (2024). MSC: 65N30 76M10 65N12 76D05 65N15 PDFBibTeX XMLCite \textit{Y. Li} et al., Comput. Math. Appl. 154, 267--286 (2024; Zbl 07784363) Full Text: DOI
Antonietti, P. F.; Farenga, N.; Manuzzi, E.; Martinelli, G.; Saverio, L. Agglomeration of polygonal grids using graph neural networks with applications to multigrid solvers. (English) Zbl 07784347 Comput. Math. Appl. 154, 45-57 (2024). MSC: 65N30 65N55 35J25 65N12 65N50 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., Comput. Math. Appl. 154, 45--57 (2024; Zbl 07784347) Full Text: DOI arXiv
Tushar, Jai; Sau, Ramesh Chandra; Kumar, Anil Virtual element method for control constrained Dirichlet boundary control problem governed by the diffusion problem. (English) Zbl 07784055 J. Sci. Comput. 98, No. 1, Paper No. 21, 26 p. (2024). MSC: 65N30 65N15 65N12 65K10 49M41 93C20 PDFBibTeX XMLCite \textit{J. Tushar} et al., J. Sci. Comput. 98, No. 1, Paper No. 21, 26 p. (2024; Zbl 07784055) Full Text: DOI
Mishra, Sudheer; Natarajan, E. Local projection stabilization virtual element method for the convection-diffusion equation with nonlinear reaction term. (English) Zbl 07801665 Comput. Math. Appl. 152, 181-198 (2023). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{S. Mishra} and \textit{E. Natarajan}, Comput. Math. Appl. 152, 181--198 (2023; Zbl 07801665) Full Text: DOI
Li, Dan; Li, Yiqiang; Yuan, Zhanbin A new weak Galerkin method with weakly enforced Dirichlet boundary condition. (English) Zbl 1528.65112 Int. J. Numer. Anal. Model. 20, No. 5, 647-666 (2023). MSC: 65N30 35J50 65N12 PDFBibTeX XMLCite \textit{D. Li} et al., Int. J. Numer. Anal. Model. 20, No. 5, 647--666 (2023; Zbl 1528.65112) Full Text: DOI
Adak, Dibyendu; Manzini, Gianmarco The nonconforming virtual element method for Oseen’s equation using a stream-function formulation. (English) Zbl 07792488 ESAIM, Math. Model. Numer. Anal. 57, No. 6, 3303-3334 (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N12 65N15 35K25 35B45 76D07 76M10 35Q35 PDFBibTeX XMLCite \textit{D. Adak} and \textit{G. Manzini}, ESAIM, Math. Model. Numer. Anal. 57, No. 6, 3303--3334 (2023; Zbl 07792488) Full Text: DOI
Lepe, Felipe; Rivera, Gonzalo VEM discretization allowing small edges for the reaction-convection-diffusion equation: source and spectral problems. (English) Zbl 07787608 ESAIM, Math. Model. Numer. Anal. 57, No. 5, 3139-3164 (2023). MSC: 65N30 65N25 65N12 65N15 76R50 35B45 PDFBibTeX XMLCite \textit{F. Lepe} and \textit{G. Rivera}, ESAIM, Math. Model. Numer. Anal. 57, No. 5, 3139--3164 (2023; Zbl 07787608) Full Text: DOI arXiv
Liu, Xin; Chen, Zhangxin A virtual element method for overcoming locking phenomena in Biot’s consolidation model. (English) Zbl 07787603 ESAIM, Math. Model. Numer. Anal. 57, No. 5, 3007-3027 (2023). MSC: 65M60 65M06 65N30 65N12 65N15 74F10 74L10 74B10 76S05 PDFBibTeX XMLCite \textit{X. Liu} and \textit{Z. Chen}, ESAIM, Math. Model. Numer. Anal. 57, No. 5, 3007--3027 (2023; Zbl 07787603) Full Text: DOI
Brezzi, Franco; Marini, L. Donatella Virtual elements on polyhedra with a curved face. (English) Zbl 07787072 Bull. Math. Sci. 13, No. 3, Article ID 2350005, 26 p. (2023). MSC: 65N30 PDFBibTeX XMLCite \textit{F. Brezzi} and \textit{L. D. Marini}, Bull. Math. Sci. 13, No. 3, Article ID 2350005, 26 p. (2023; Zbl 07787072) Full Text: DOI arXiv
Adak, Dibyendu Convergence analysis of expanded mixed virtual element methods for nonlocal problems. (English) Zbl 07777354 Numer. Methods Partial Differ. Equations 39, No. 4, 3246-3270 (2023). MSC: 65M60 65M06 65N30 65M15 35R09 45K05 47H10 PDFBibTeX XMLCite \textit{D. Adak}, Numer. Methods Partial Differ. Equations 39, No. 4, 3246--3270 (2023; Zbl 07777354) Full Text: DOI
Sheng, Meihua; Yang, Di; Gao, Zhiming A virtual element method-based positivity-preserving conservative scheme for convection-diffusion problems on polygonal meshes. (English) Zbl 07776968 Numer. Methods Partial Differ. Equations 39, No. 2, 1398-1424 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{M. Sheng} et al., Numer. Methods Partial Differ. Equations 39, No. 2, 1398--1424 (2023; Zbl 07776968) Full Text: DOI
Li, Yanwei; Wang, Qiming; Zhou, Zhaojie Adaptive virtual element method for optimal control problem governed by Stokes equations. (English) Zbl 1527.65129 J. Sci. Comput. 97, No. 3, Paper No. 63, 29 p. (2023). MSC: 65N30 65N15 76D07 76D55 49K20 49M41 35Q35 PDFBibTeX XMLCite \textit{Y. Li} et al., J. Sci. Comput. 97, No. 3, Paper No. 63, 29 p. (2023; Zbl 1527.65129) Full Text: DOI
Wang, Xuyang; Zou, Guang-an; Wang, Bo A stabilized divergence-free virtual element scheme for the nematic liquid crystal flows. (English) Zbl 1528.76055 Appl. Numer. Math. 192, 104-131 (2023). MSC: 76M15 65M38 76A15 82D30 PDFBibTeX XMLCite \textit{X. Wang} et al., Appl. Numer. Math. 192, 104--131 (2023; Zbl 1528.76055) Full Text: DOI
Adak, Dibyendu; Anaya, Verónica; Bendahmane, Mostafa; Mora, David Conforming and nonconforming virtual element methods for fourth order nonlocal reaction diffusion equation. (English) Zbl 1522.65197 Math. Models Methods Appl. Sci. 33, No. 10, 2035-2083 (2023). MSC: 65N30 65N12 65N15 35K25 PDFBibTeX XMLCite \textit{D. Adak} et al., Math. Models Methods Appl. Sci. 33, No. 10, 2035--2083 (2023; Zbl 1522.65197) Full Text: DOI
Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, L. Donatella; Russo, Alessandro The virtual element method. (English) Zbl 07736655 Acta Numerica 32, 123-202 (2023). MSC: 65-XX 65N30 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., Acta Numerica 32, 123--202 (2023; Zbl 07736655) Full Text: DOI
Boscheri, Walter; Chiozzi, Andrea; Carlino, Michele Giuliano; Bertaglia, Giulia A new family of semi-implicit finite volume/virtual element methods for incompressible flows on unstructured meshes. (English) Zbl 07725685 Comput. Methods Appl. Mech. Eng. 414, Article ID 116140, 39 p. (2023). MSC: 76-XX 86-XX PDFBibTeX XMLCite \textit{W. Boscheri} et al., Comput. Methods Appl. Mech. Eng. 414, Article ID 116140, 39 p. (2023; Zbl 07725685) Full Text: DOI arXiv
Zou, Guang-an; Wang, Xuyang; Li, Jian An extrapolated Crank-Nicolson virtual element scheme for the nematic liquid crystal flows. (English) Zbl 1518.35562 Adv. Comput. Math. 49, No. 3, Paper No. 30, 43 p. (2023). MSC: 35Q35 76A15 65M12 65M15 65M60 65M06 65N30 PDFBibTeX XMLCite \textit{G.-a. Zou} et al., Adv. Comput. Math. 49, No. 3, Paper No. 30, 43 p. (2023; Zbl 1518.35562) Full Text: DOI
Sorgente, Tommaso; Vicini, Fabio; Berrone, Stefano; Biasotti, Silvia; Manzini, Gianmarco; Spagnuolo, Michela Mesh quality agglomeration algorithm for the virtual element method applied to discrete fracture networks. (English) Zbl 07709622 Calcolo 60, No. 2, Paper No. 27, 27 p. (2023). MSC: 65N30 65N12 65N15 41A25 74R10 74S05 PDFBibTeX XMLCite \textit{T. Sorgente} et al., Calcolo 60, No. 2, Paper No. 27, 27 p. (2023; Zbl 07709622) Full Text: DOI arXiv
Berrone, Stefano; Borio, Andrea; Marcon, Francesca; Teora, Gioana A first-order stabilization-free virtual element method. (English) Zbl 07708812 Appl. Math. Lett. 142, Article ID 108641, 6 p. (2023). MSC: 65Nxx 35Jxx 65-XX PDFBibTeX XMLCite \textit{S. Berrone} et al., Appl. Math. Lett. 142, Article ID 108641, 6 p. (2023; Zbl 07708812) Full Text: DOI arXiv
Wang, Haimei; Wang, Feng; Chen, Jinru; Ji, Haifeng A conforming virtual element method based on unfitted meshes for the elliptic interface problem. (English) Zbl 07708363 J. Sci. Comput. 96, No. 1, Paper No. 21, 32 p. (2023). MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{H. Wang} et al., J. Sci. Comput. 96, No. 1, Paper No. 21, 32 p. (2023; Zbl 07708363) Full Text: DOI
Blanc, Xavier; Hermeline, Francois; Labourasse, Emmanuel; Patela, Julie Arbitrary-order monotonic finite-volume schemes for 1D elliptic problems. (English) Zbl 1524.65724 Comput. Appl. Math. 42, No. 4, Paper No. 195, 40 p. (2023). MSC: 65N08 65N12 35J15 PDFBibTeX XMLCite \textit{X. Blanc} et al., Comput. Appl. Math. 42, No. 4, Paper No. 195, 40 p. (2023; Zbl 1524.65724) Full Text: DOI
Xu, Yang; Zhou, Zhenguo; Zhao, Jingjun Error estimates of conforming virtual element methods with a modified symmetric Nitsche’s formula for 2D semilinear parabolic equations. (English) Zbl 07698929 J. Sci. Comput. 95, No. 3, Paper No. 69, 34 p. (2023). MSC: 65M60 65M06 65N30 65M15 65N15 35K58 PDFBibTeX XMLCite \textit{Y. Xu} et al., J. Sci. Comput. 95, No. 3, Paper No. 69, 34 p. (2023; Zbl 07698929) Full Text: DOI
Wei, Huayi; Deng, Yanling; Wang, Fei Gradient recovery type a posteriori error estimates of virtual element method for an elliptic variational inequality of the second kind. (English) Zbl 07698302 Nonlinear Anal., Real World Appl. 73, Article ID 103903, 12 p. (2023). MSC: 65Nxx 74Mxx 74Sxx PDFBibTeX XMLCite \textit{H. Wei} et al., Nonlinear Anal., Real World Appl. 73, Article ID 103903, 12 p. (2023; Zbl 07698302) Full Text: DOI
Liu, Tong-Rui; Aldakheel, Fadi; Aliabadi, M. H. Virtual element method for phase field modeling of dynamic fracture. (English) Zbl 07692952 Comput. Methods Appl. Mech. Eng. 411, Article ID 116050, 29 p. (2023). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{T.-R. Liu} et al., Comput. Methods Appl. Mech. Eng. 411, Article ID 116050, 29 p. (2023; Zbl 07692952) Full Text: DOI
Tushar, Jai; Kumar, Anil; Kumar, Sarvesh Mixed virtual element methods for optimal control of Darcy flow. (English) Zbl 07692040 Comput. Math. Appl. 140, 134-153 (2023). MSC: 65N30 65K10 49J20 49M15 65-02 PDFBibTeX XMLCite \textit{J. Tushar} et al., Comput. Math. Appl. 140, 134--153 (2023; Zbl 07692040) Full Text: DOI
Chen, Alvin; Sukumar, N. Stabilization-free virtual element method for plane elasticity. (English) Zbl 07692008 Comput. Math. Appl. 138, 88-105 (2023). MSC: 65N30 74S05 65N12 35J25 65D30 PDFBibTeX XMLCite \textit{A. Chen} and \textit{N. Sukumar}, Comput. Math. Appl. 138, 88--105 (2023; Zbl 07692008) Full Text: DOI arXiv
Arrutselvi, M.; Natarajan, E. Virtual element stabilization for the system of time-dependent nonlinear convection-diffusion-reaction equations. (English) Zbl 07691990 Comput. Math. Appl. 142, 121-139 (2023). MSC: 65N30 65N12 65N15 65M60 65M12 PDFBibTeX XMLCite \textit{M. Arrutselvi} and \textit{E. Natarajan}, Comput. Math. Appl. 142, 121--139 (2023; Zbl 07691990) Full Text: DOI
Liu, Shuo; Zhou, Zhaojie Virtual element method for elliptic Neumann boundary optimal control problem. (English) Zbl 1524.49061 Comput. Appl. Math. 42, No. 4, Paper No. 142, 24 p. (2023). MSC: 49M41 PDFBibTeX XMLCite \textit{S. Liu} and \textit{Z. Zhou}, Comput. Appl. Math. 42, No. 4, Paper No. 142, 24 p. (2023; Zbl 1524.49061) Full Text: DOI
Pradhan, Gouranga; Dutta, Jogen; Deka, Bhupen Virtual element methods for weakly damped wave equations on polygonal meshes. (English) Zbl 1524.65582 Comput. Appl. Math. 42, No. 3, Paper No. 137, 28 p. (2023). MSC: 65M60 65N30 65N15 65N12 65M06 PDFBibTeX XMLCite \textit{G. Pradhan} et al., Comput. Appl. Math. 42, No. 3, Paper No. 137, 28 p. (2023; Zbl 1524.65582) 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 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., SIAM J. Numer. Anal. 61, No. 2, 457--494 (2023; Zbl 1512.65258) 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 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., SIAM J. Numer. Anal. 61, No. 1, 223--249 (2023; Zbl 1512.65290) Full Text: DOI arXiv
Beirão da Veiga, L.; Mora, D.; Silgado, A. A fully-discrete virtual element method for the nonstationary Boussinesq equations in stream-function form. (English) Zbl 07665605 Comput. Methods Appl. Mech. Eng. 408, Article ID 115947, 32 p. (2023). MSC: 65M12 65M15 65M60 76D05 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., Comput. Methods Appl. Mech. Eng. 408, Article ID 115947, 32 p. (2023; Zbl 07665605) Full Text: DOI arXiv
Chen, Alvin; Sukumar, N. Stabilization-free serendipity virtual element method for plane elasticity. (English) Zbl 07644857 Comput. Methods Appl. Mech. Eng. 404, Article ID 115784, 19 p. (2023). MSC: 74-XX 65-XX PDFBibTeX XMLCite \textit{A. Chen} and \textit{N. Sukumar}, Comput. Methods Appl. Mech. Eng. 404, Article ID 115784, 19 p. (2023; Zbl 07644857) Full Text: DOI arXiv
Klawonn, Axel; Lanser, Martin; Wasiak, Adam Adaptive and frugal FETI-DP for virtual elements. (English) Zbl 1517.65114 Vietnam J. Math. 51, No. 1, 89-111 (2023). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N55 65N50 65F08 65F35 65F10 PDFBibTeX XMLCite \textit{A. Klawonn} et al., Vietnam J. Math. 51, No. 1, 89--111 (2023; Zbl 1517.65114) Full Text: DOI
Adak, Dibyendu; Mora, David; Velásquez, Iván A \(C^0\)-nonconforming virtual element methods for the vibration and buckling problems of thin plates. (English) Zbl 07644209 Comput. Methods Appl. Mech. Eng. 403, Part B, Article ID 115763, 24 p. (2023). MSC: 65-XX 74-XX PDFBibTeX XMLCite \textit{D. Adak} et al., Comput. Methods Appl. Mech. Eng. 403, Part B, Article ID 115763, 24 p. (2023; Zbl 07644209) Full Text: DOI
Wang, Ying; Wang, Gang; Shen, Yue A pressure-robust virtual element method for the Navier-Stokes problem on polygonal mesh. (English) Zbl 1524.65610 Comput. Math. Appl. 131, 124-137 (2023). MSC: 65M60 65M06 65N30 65N12 76D05 65N15 76M10 65H10 76U05 PDFBibTeX XMLCite \textit{Y. Wang} et al., Comput. Math. Appl. 131, 124--137 (2023; Zbl 1524.65610) Full Text: DOI
Berrone, Stefano; Busetto, Martina; Vicini, Fabio Virtual element simulation of two-phase flow of immiscible fluids in discrete fracture networks. (English) Zbl 07625404 J. Comput. Phys. 473, Article ID 111735, 26 p. (2023). MSC: 65Nxx 76Sxx 76Mxx PDFBibTeX XMLCite \textit{S. Berrone} et al., J. Comput. Phys. 473, Article ID 111735, 26 p. (2023; Zbl 07625404) Full Text: DOI
Naranjo Alvarez, Sebastian; Bokil, Vrushali A.; Gyrya, Vitaliy; Manzini, Gianmarco The virtual element method for the coupled system of magneto-hydrodynamics. (English) Zbl 1503.65241 Antonietti, Paola F. (ed.) et al., The virtual element method and its applications. Cham: Birkhäuser. SEMA SIMAI Springer Ser. 31, 499-556 (2022). MSC: 65M60 65M06 65N30 65H10 65L10 76W05 76M10 76M20 35Q35 PDFBibTeX XMLCite \textit{S. Naranjo Alvarez} et al., SEMA SIMAI Springer Ser. 31, 499--556 (2022; Zbl 1503.65241) Full Text: DOI arXiv
Antonietti, Paola F.; Manzini, Gianmarco; Mazzieri, Ilario; Scacchi, Simone; Verani, Marco The conforming virtual element method for polyharmonic and elastodynamics problems: a review. (English) Zbl 1503.65215 Antonietti, Paola F. (ed.) et al., The virtual element method and its applications. Cham: Birkhäuser. SEMA SIMAI Springer Ser. 31, 411-451 (2022). MSC: 65M60 65M06 65N30 74B10 74R10 74S05 74S20 35Q74 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., SEMA SIMAI Springer Ser. 31, 411--451 (2022; Zbl 1503.65215) Full Text: DOI arXiv
Mora, David; Silgado, Alberth Virtual element methods for a stream-function formulation of the Oseen equations. (English) Zbl 1503.65300 Antonietti, Paola F. (ed.) et al., The virtual element method and its applications. Cham: Birkhäuser. SEMA SIMAI Springer Ser. 31, 321-361 (2022). MSC: 65N30 65N12 65N15 76D07 35Q35 PDFBibTeX XMLCite \textit{D. Mora} and \textit{A. Silgado}, SEMA SIMAI Springer Ser. 31, 321--361 (2022; Zbl 1503.65300) Full Text: DOI
Gatica, Gabriel N.; Márquez, Antonio; Meddahi, Salim A virtual marriage à la mode: some recent results on the coupling of VEM and BEM. (English) Zbl 1503.65294 Antonietti, Paola F. (ed.) et al., The virtual element method and its applications. Cham: Birkhäuser. SEMA SIMAI Springer Ser. 31, 227-274 (2022). MSC: 65N30 65N38 35J05 35A01 35A02 35B45 65N15 PDFBibTeX XMLCite \textit{G. N. Gatica} et al., SEMA SIMAI Springer Ser. 31, 227--274 (2022; Zbl 1503.65294) Full Text: DOI
Adak, Dibyendu; Arrutselvi, M.; Natarajan, E.; Natarajan, S. On the implementation of virtual element method for nonlinear problems over polygonal meshes. (English) Zbl 1503.65214 Antonietti, Paola F. (ed.) et al., The virtual element method and its applications. Cham: Birkhäuser. SEMA SIMAI Springer Ser. 31, 59-91 (2022). MSC: 65M60 65M06 65N30 65H10 65D32 41A58 35J62 35K59 PDFBibTeX XMLCite \textit{D. Adak} et al., SEMA SIMAI Springer Ser. 31, 59--91 (2022; Zbl 1503.65214) Full Text: DOI
Sorgente, Tommaso; Prada, Daniele; Cabiddu, Daniela; Biasotti, Silvia; Patanè, Giuseppe; Pennacchio, Micol; Bertoluzza, Silvia; Manzini, Gianmarco; Spagnuolo, Michela VEM and the mesh. (English) Zbl 1503.65301 Antonietti, Paola F. (ed.) et al., The virtual element method and its applications. Cham: Birkhäuser. SEMA SIMAI Springer Ser. 31, 1-57 (2022). MSC: 65N30 65N50 65N12 PDFBibTeX XMLCite \textit{T. Sorgente} et al., SEMA SIMAI Springer Ser. 31, 1--57 (2022; Zbl 1503.65301) Full Text: DOI arXiv
Arrutselvi, M.; Natarajan, E.; Natarajan, S. Virtual element method for the quasilinear convection-diffusion-reaction equation on polygonal meshes. (English) Zbl 1501.65102 Adv. Comput. Math. 48, No. 6, Paper No. 78, 45 p. (2022). MSC: 65N30 65N55 65N12 65N15 PDFBibTeX XMLCite \textit{M. Arrutselvi} et al., Adv. Comput. Math. 48, No. 6, Paper No. 78, 45 p. (2022; Zbl 1501.65102) Full Text: DOI
Meng, Jian; Mei, Liquan Virtual element method for the Helmholtz transmission eigenvalue problem of anisotropic media. (English) Zbl 1497.65216 Math. Models Methods Appl. Sci. 32, No. 8, 1493-1529 (2022). MSC: 65N25 65N30 65N15 PDFBibTeX XMLCite \textit{J. Meng} and \textit{L. Mei}, Math. Models Methods Appl. Sci. 32, No. 8, 1493--1529 (2022; Zbl 1497.65216) Full Text: DOI
Antonietti, P. F.; Dassi, F.; Manuzzi, E. Machine learning based refinement strategies for polyhedral grids with applications to virtual element and polyhedral discontinuous Galerkin methods. (English) Zbl 07592135 J. Comput. Phys. 469, Article ID 111531, 22 p. (2022). MSC: 65Nxx 35Jxx 65Mxx PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., J. Comput. Phys. 469, Article ID 111531, 22 p. (2022; Zbl 07592135) Full Text: DOI arXiv
Tushar, Jai; Kumar, Anil; Kumar, Sarvesh Virtual element methods for general linear elliptic interface problems on polygonal meshes with small edges. (English) Zbl 1524.65862 Comput. Math. Appl. 122, 61-75 (2022). MSC: 65N30 65N12 65N15 35J25 PDFBibTeX XMLCite \textit{J. Tushar} et al., Comput. Math. Appl. 122, 61--75 (2022; Zbl 1524.65862) Full Text: DOI
Li, Yang; Hu, Chaolang; Feng, Minfu A least-squares stabilization virtual element method for the Stokes problem on polygonal meshes. (English) Zbl 1513.65467 Int. J. Numer. Anal. Model. 19, No. 5, 685-708 (2022). MSC: 65N30 65N12 76D07 76M10 65N15 PDFBibTeX XMLCite \textit{Y. Li} et al., Int. J. Numer. Anal. Model. 19, No. 5, 685--708 (2022; Zbl 1513.65467) Full Text: Link
Ferguson, J. A.; Kópházi, J.; Eaton, M. D. NURBS enhanced virtual element methods for the spatial discretization of the multigroup neutron diffusion equation on curvilinear polygonal meshes. (English) Zbl 07585129 J. Comput. Theor. Transp. 51, No. 4, 145-204 (2022). MSC: 82-XX PDFBibTeX XMLCite \textit{J. A. Ferguson} et al., J. Comput. Theor. Transp. 51, No. 4, 145--204 (2022; Zbl 07585129) Full Text: DOI
Manzini, Gianmarco; Mazzia, Annamaria Conforming virtual element approximations of the two-dimensional Stokes problem. (English) Zbl 1502.65212 Appl. Numer. Math. 181, 176-203 (2022). MSC: 65N30 65N12 65N15 76D07 76M10 35Q35 PDFBibTeX XMLCite \textit{G. Manzini} and \textit{A. Mazzia}, Appl. Numer. Math. 181, 176--203 (2022; Zbl 1502.65212) Full Text: DOI arXiv
Desiderio, Luca; Falletta, Silvia; Ferrari, Matteo; Scuderi, Letizia On the coupling of the curved virtual element method with the one-equation boundary element method for 2D exterior Helmholtz problems. (English) Zbl 1501.65145 SIAM J. Numer. Anal. 60, No. 4, 2099-2124 (2022). MSC: 65N38 65N99 65N12 65N15 35J05 PDFBibTeX XMLCite \textit{L. Desiderio} et al., SIAM J. Numer. Anal. 60, No. 4, 2099--2124 (2022; Zbl 1501.65145) Full Text: DOI arXiv
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 1496.65209 Numer. Math. 151, No. 3, 551-600 (2022). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N50 65N12 65N15 35J15 35B45 PDFBibTeX XMLCite \textit{C. Carstensen} et al., Numer. Math. 151, No. 3, 551--600 (2022; Zbl 1496.65209) Full Text: DOI arXiv
Adak, D.; Manzini, G.; Natarajan, S. Virtual element approximation of two-dimensional parabolic variational inequalities. (English) Zbl 1524.65500 Comput. Math. Appl. 116, 48-70 (2022). MSC: 65M60 49J40 65M06 65N30 65M12 65M15 35B65 49J35 65N50 65K10 PDFBibTeX XMLCite \textit{D. Adak} et al., Comput. Math. Appl. 116, 48--70 (2022; Zbl 1524.65500) Full Text: DOI arXiv
Bertoluzza, S.; Manzini, G.; Pennacchio, M.; Prada, D. Stabilization of the nonconforming virtual element method. (English) Zbl 1524.65757 Comput. Math. Appl. 116, 25-47 (2022). MSC: 65N30 65N12 65N15 35J25 65N50 PDFBibTeX XMLCite \textit{S. Bertoluzza} et al., Comput. Math. Appl. 116, 25--47 (2022; Zbl 1524.65757) Full Text: DOI arXiv
Wang, Qiming; Zhou, Zhaojie A priori and a posteriori error analysis for virtual element discretization of elliptic optimal control problem. (English) Zbl 1502.65219 Numer. Algorithms 90, No. 3, 989-1015 (2022). MSC: 65N30 65N15 65N50 49M41 PDFBibTeX XMLCite \textit{Q. Wang} and \textit{Z. Zhou}, Numer. Algorithms 90, No. 3, 989--1015 (2022; Zbl 1502.65219) Full Text: DOI
Li, Yang; Feng, Minfu; Luo, Yan A new local projection stabilization virtual element method for the Oseen problem on polygonal meshes. (English) Zbl 1492.65322 Adv. Comput. Math. 48, No. 3, Paper No. 30, 32 p. (2022). MSC: 65N30 65N15 76D07 76E06 76M10 PDFBibTeX XMLCite \textit{Y. Li} et al., Adv. Comput. Math. 48, No. 3, Paper No. 30, 32 p. (2022; Zbl 1492.65322) Full Text: DOI
He, Wen-Ming; Guo, Hailong Optimal maximum norm estimates for virtual element methods. (English) Zbl 1491.65139 SIAM J. Numer. Anal. 60, No. 3, 1251-1280 (2022). Reviewer: Marius Ghergu (Dublin) MSC: 65N30 65N25 65N15 65N80 PDFBibTeX XMLCite \textit{W.-M. He} and \textit{H. Guo}, SIAM J. Numer. Anal. 60, No. 3, 1251--1280 (2022; Zbl 1491.65139) Full Text: DOI arXiv
Berrone, Stefano; Borio, Andrea; Marcon, Francesca Comparison of standard and stabilization free virtual elements on anisotropic elliptic problems. (English) Zbl 1487.65176 Appl. Math. Lett. 129, Article ID 107971, 5 p. (2022). MSC: 65N30 65N12 PDFBibTeX XMLCite \textit{S. Berrone} et al., Appl. Math. Lett. 129, Article ID 107971, 5 p. (2022; Zbl 1487.65176) Full Text: DOI arXiv
Yang, Di; Sheng, Meihua; Gao, Zhiming; Ni, Guoxi The VEM-based positivity-preserving conservative scheme for radiation diffusion problems on generalized polyhedral meshes. (English) Zbl 1521.76488 Comput. Fluids 239, Article ID 105356, 20 p. (2022). MSC: 76M12 65N08 PDFBibTeX XMLCite \textit{D. Yang} et al., Comput. Fluids 239, Article ID 105356, 20 p. (2022; Zbl 1521.76488) Full Text: DOI
Liu, Xin; Nie, Yufeng Pressure-independent velocity error estimates for (Navier-)Stokes nonconforming virtual element discretization with divergence free. (English) Zbl 1493.65217 Numer. Algorithms 90, No. 2, 477-506 (2022). MSC: 65N30 65N15 76D07 76M10 PDFBibTeX XMLCite \textit{X. Liu} and \textit{Y. Nie}, Numer. Algorithms 90, No. 2, 477--506 (2022; Zbl 1493.65217) Full Text: DOI
Manzini, Gianmarco; Mazzia, Annamaria A virtual element generalization on polygonal meshes of the Scott-Vogelius finite element method for the 2-D Stokes problem. (English) Zbl 1492.65324 J. Comput. Dyn. 9, No. 2, 207-238 (2022). Reviewer: Francesca Gardini (Pavia) MSC: 65N30 65N22 65N12 65N15 76D07 76M10 35B45 35Q35 PDFBibTeX XMLCite \textit{G. Manzini} and \textit{A. Mazzia}, J. Comput. Dyn. 9, No. 2, 207--238 (2022; Zbl 1492.65324) Full Text: DOI arXiv
Antonietti, P. F.; Manuzzi, E. Refinement of polygonal grids using convolutional neural networks with applications to polygonal discontinuous Galerkin and virtual element methods. (English) Zbl 07517731 J. Comput. Phys. 452, Article ID 110900, 20 p. (2022). MSC: 65Nxx 35Jxx 65Mxx PDFBibTeX XMLCite \textit{P. F. Antonietti} and \textit{E. Manuzzi}, J. Comput. Phys. 452, Article ID 110900, 20 p. (2022; Zbl 07517731) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{S. Berrone} and \textit{M. Busetto}, Comput. Geosci. 26, No. 1, 195--216 (2022; Zbl 1484.65200) Full Text: DOI
Arrutselvi, M.; Adak, D.; Natarajan, E.; Roy, S.; Natarajan, S. Virtual element analysis of nonlocal coupled parabolic problems on polygonal meshes. (English) Zbl 1486.65162 Calcolo 59, No. 2, Paper No. 18, 34 p. (2022). MSC: 65M60 65M06 65N30 65M12 35K55 PDFBibTeX XMLCite \textit{M. Arrutselvi} et al., Calcolo 59, No. 2, Paper No. 18, 34 p. (2022; Zbl 1486.65162) Full Text: DOI
Tushar, Jai; Kumar, Anil; Kumar, Sarvesh Variational and virtual discretizations of optimal control problems governed by diffusion problems. (English) Zbl 1486.49042 Appl. Math. Optim. 85, No. 2, Paper No. 2, 36 p. (2022). MSC: 49M25 PDFBibTeX XMLCite \textit{J. Tushar} et al., Appl. Math. Optim. 85, No. 2, Paper No. 2, 36 p. (2022; Zbl 1486.49042) Full Text: DOI
Jo, Gwanghyun; Kwak, Do Y. Mixed virtual volume methods for elliptic problems. (English) Zbl 1504.65240 Comput. Math. Appl. 113, 345-352 (2022). MSC: 65N08 PDFBibTeX XMLCite \textit{G. Jo} and \textit{D. Y. Kwak}, Comput. Math. Appl. 113, 345--352 (2022; Zbl 1504.65240) Full Text: DOI arXiv
Sorgente, T.; Biasotti, S.; Manzini, G.; Spagnuolo, M. The role of mesh quality and mesh quality indicators in the virtual element method. (English) Zbl 1491.65151 Adv. Comput. Math. 48, No. 1, Paper No. 3, 34 p. (2022). MSC: 65N30 65N12 65N50 68U05 35J05 PDFBibTeX XMLCite \textit{T. Sorgente} et al., Adv. Comput. Math. 48, No. 1, Paper No. 3, 34 p. (2022; Zbl 1491.65151) Full Text: DOI arXiv
Sequeira, Filánder A.; Guillén-Oviedo, Helen Some aspects on the computational implementation of diverse terms arising in mixed virtual element formulations. (English) Zbl 1480.65004 Numer. Algorithms 89, No. 2, 487-528 (2022). MSC: 65-04 65N30 PDFBibTeX XMLCite \textit{F. A. Sequeira} and \textit{H. Guillén-Oviedo}, Numer. Algorithms 89, No. 2, 487--528 (2022; Zbl 1480.65004) Full Text: DOI arXiv
Dassi, Franco; Fumagalli, Alessio; Mazzieri, Ilario; Scotti, Anna; Vacca, Giuseppe A virtual element method for the wave equation on curved edges in two dimensions. (English) Zbl 1489.65139 J. Sci. Comput. 90, No. 1, Paper No. 50, 25 p. (2022). Reviewer: Baasansuren Jadamba (Rochester) MSC: 65M60 65M06 65N30 65M12 PDFBibTeX XMLCite \textit{F. Dassi} et al., J. Sci. Comput. 90, No. 1, Paper No. 50, 25 p. (2022; Zbl 1489.65139) Full Text: DOI arXiv
Arrutselvi, M.; Natarajan, E. Virtual element method for nonlinear time-dependent convection-diffusion-reaction equation. (English) Zbl 07522920 Comput. Math. Model. 32, No. 3, 376-386 (2021). MSC: 65Mxx 76-XX PDFBibTeX XMLCite \textit{M. Arrutselvi} and \textit{E. Natarajan}, Comput. Math. Model. 32, No. 3, 376--386 (2021; Zbl 07522920) Full Text: DOI
Boffi, Daniele (ed.); Carstensen, Carsten (ed.); Ern, Alexandre (ed.); Hu, Jun (ed.) Nonstandard finite element methods. Abstracts from the workshop held January 10–16, 2021 (hybrid meeting). (English) Zbl 1487.00033 Oberwolfach Rep. 18, No. 1, 87-148 (2021). MSC: 00B05 00B25 65-06 65N30 PDFBibTeX XMLCite \textit{D. Boffi} (ed.) et al., Oberwolfach Rep. 18, No. 1, 87--148 (2021; Zbl 1487.00033) Full Text: DOI
Arrutselvi, M.; Natarajan, E. Virtual element method for nonlinear convection-diffusion-reaction equation on polygonal meshes. (English) Zbl 1480.65327 Int. J. Comput. Math. 98, No. 9, 1852-1876 (2021). MSC: 65N30 65N12 65N15 PDFBibTeX XMLCite \textit{M. Arrutselvi} and \textit{E. Natarajan}, Int. J. Comput. Math. 98, No. 9, 1852--1876 (2021; Zbl 1480.65327) Full Text: DOI
Meng, Jian; Mei, Liquan A \(C^0\) virtual element method for the biharmonic eigenvalue problem. (English) Zbl 1480.65324 Int. J. Comput. Math. 98, No. 9, 1821-1833 (2021). MSC: 65N25 65N30 74K10 PDFBibTeX XMLCite \textit{J. Meng} and \textit{L. Mei}, Int. J. Comput. Math. 98, No. 9, 1821--1833 (2021; Zbl 1480.65324) Full Text: DOI
da Veiga, Lourenco Beirão; Dassi, Franco; Lovadina, Carlo; Vacca, Giuseppe SUPG-stabilized virtual elements for diffusion-convection problems: a robustness analysis. (English) Zbl 1490.65267 ESAIM, Math. Model. Numer. Anal. 55, No. 5, 2233-2258 (2021). MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{L. B. da Veiga} et al., ESAIM, Math. Model. Numer. Anal. 55, No. 5, 2233--2258 (2021; Zbl 1490.65267) Full Text: DOI arXiv
Berrone, Stefano; Borio, Andrea; D’Auria, Alessandro; Scialò, Stefano; Vicini, Fabio A robust VEM-based approach for flow simulations in poro-fractured media. (English) Zbl 1478.65113 Math. Models Methods Appl. Sci. 31, No. 14, 2855-2885 (2021). MSC: 65N30 65N50 PDFBibTeX XMLCite \textit{S. Berrone} et al., Math. Models Methods Appl. Sci. 31, No. 14, 2855--2885 (2021; Zbl 1478.65113) Full Text: DOI
Antonietti, Paola F.; Manzini, Gianmarco; Scacchi, Simone; Verani, Marco A review on arbitrarily regular conforming virtual element methods for second- and higher-order elliptic partial differential equations. (English) Zbl 1478.65110 Math. Models Methods Appl. Sci. 31, No. 14, 2825-2853 (2021). MSC: 65N30 65N22 65N12 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., Math. Models Methods Appl. Sci. 31, No. 14, 2825--2853 (2021; Zbl 1478.65110) Full Text: DOI arXiv
Verma, N.; Kumar, S. Lowest order virtual element approximations for transient Stokes problem on polygonal meshes. (English) Zbl 1479.65011 Calcolo 58, No. 4, Paper No. 48, 35 p. (2021). MSC: 65M60 65M06 65N30 76D07 65N15 65N12 35Q35 PDFBibTeX XMLCite \textit{N. Verma} and \textit{S. Kumar}, Calcolo 58, No. 4, Paper No. 48, 35 p. (2021; Zbl 1479.65011) Full Text: DOI
Guan, Qingguang Some estimates of virtual element methods for fourth order problems. (English) Zbl 1478.65126 Electron. Res. Arch. 29, No. 6, 4099-4118 (2021). MSC: 65N30 65N50 35J40 65N15 31A30 PDFBibTeX XMLCite \textit{Q. Guan}, Electron. Res. Arch. 29, No. 6, 4099--4118 (2021; Zbl 1478.65126) Full Text: DOI arXiv
Li, Yang; Feng, Minfu A local projection stabilization virtual element method for convection-diffusion-reaction equation. (English) Zbl 1510.76090 Appl. Math. Comput. 411, Article ID 126536, 15 p. (2021). MSC: 76M10 65M60 35K57 PDFBibTeX XMLCite \textit{Y. Li} and \textit{M. Feng}, Appl. Math. Comput. 411, Article ID 126536, 15 p. (2021; Zbl 1510.76090) Full Text: DOI
Zhang, Xi; Feng, Minfu A projection-based stabilized virtual element method for the unsteady incompressible Brinkman equations. (English) Zbl 1510.76094 Appl. Math. Comput. 408, Article ID 126325, 26 p. (2021). MSC: 76M10 65M60 35Q35 65M15 76S05 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{M. Feng}, Appl. Math. Comput. 408, Article ID 126325, 26 p. (2021; Zbl 1510.76094) Full Text: DOI
Liu, Yang; Shu, Shi; Wei, Huayi; Yang, Ying A virtual element method for the steady-state Poisson-Nernst-Planck equations on polygonal meshes. (English) Zbl 1524.65838 Comput. Math. Appl. 102, 95-112 (2021). MSC: 65N30 65N12 65N15 35Q60 78A57 78A35 82D37 92C40 PDFBibTeX XMLCite \textit{Y. Liu} et al., Comput. Math. Appl. 102, 95--112 (2021; Zbl 1524.65838) Full Text: DOI
Wang, Ying; Wang, Gang; Wang, Feng An adaptive virtual element method for incompressible flow. (English) Zbl 1491.76057 Comput. Math. Appl. 101, 63-73 (2021). MSC: 76M99 76D07 76D05 65N15 65N50 PDFBibTeX XMLCite \textit{Y. Wang} et al., Comput. Math. Appl. 101, 63--73 (2021; Zbl 1491.76057) Full Text: DOI
Borio, Andrea; Hamon, François P.; Castelletto, Nicola; White, Joshua A.; Settgast, Randolph R. Hybrid mimetic finite-difference and virtual element formulation for coupled poromechanics. (English) Zbl 1506.74390 Comput. Methods Appl. Mech. Eng. 383, Article ID 113917, 26 p. (2021). MSC: 74S05 65M60 74F10 PDFBibTeX XMLCite \textit{A. Borio} et al., Comput. Methods Appl. Mech. Eng. 383, Article ID 113917, 26 p. (2021; Zbl 1506.74390) Full Text: DOI arXiv
Alvarez, S. Naranjo; Bokil, V.; Gyrya, V.; Manzini, G. The virtual element method for resistive magnetohydrodynamics. (English) Zbl 1506.76062 Comput. Methods Appl. Mech. Eng. 381, Article ID 113815, 34 p. (2021). MSC: 76M10 76W05 PDFBibTeX XMLCite \textit{S. N. Alvarez} et al., Comput. Methods Appl. Mech. Eng. 381, Article ID 113815, 34 p. (2021; Zbl 1506.76062) Full Text: DOI arXiv
Böhm, Christoph; Hudobivnik, Blaž; Marino, Michele; Wriggers, Peter Electro-magneto-mechanically response of polycrystalline materials: computational homogenization via the virtual element method. (English) Zbl 1506.74119 Comput. Methods Appl. Mech. Eng. 380, Article ID 113775, 20 p. (2021). MSC: 74F15 74S05 65N30 PDFBibTeX XMLCite \textit{C. Böhm} et al., Comput. Methods Appl. Mech. Eng. 380, Article ID 113775, 20 p. (2021; Zbl 1506.74119) Full Text: DOI arXiv
Huang, Jianguo; Lin, Sen A posteriori error analysis of a non-consistent virtual element method for reaction diffusion equations. (English) Zbl 1524.65817 Appl. Math. Lett. 122, Article ID 107531, 10 p. (2021). MSC: 65N30 65N15 65N12 65N50 35J05 65N85 PDFBibTeX XMLCite \textit{J. Huang} and \textit{S. Lin}, Appl. Math. Lett. 122, Article ID 107531, 10 p. (2021; Zbl 1524.65817) Full Text: DOI
Adak, Dibyendu; Manzini, Gianmarco; Natarajan, Sundararajan The mixed virtual element method for the Richards equation. (English) Zbl 1470.76044 Di Pietro, Daniele (ed.) et al., Polyhedral methods in geosciences. Cham: Springer. SEMA SIMAI Springer Ser. 27, 259-297 (2021). MSC: 76M10 PDFBibTeX XMLCite \textit{D. Adak} et al., SEMA SIMAI Springer Ser. 27, 259--297 (2021; Zbl 1470.76044) Full Text: DOI
Antonietti, Paola F.; Facciolà, Chiara; Houston, Paul; Mazzieri, Ilario; Pennesi, Giorgio; Verani, Marco High-order discontinuous Galerkin methods on polyhedral grids for geophysical applications: seismic wave propagation and fractured reservoir simulations. (English) Zbl 1470.86002 Di Pietro, Daniele (ed.) et al., Polyhedral methods in geosciences. Cham: Springer. SEMA SIMAI Springer Ser. 27, 159-225 (2021). MSC: 86-08 86A15 74S05 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., SEMA SIMAI Springer Ser. 27, 159--225 (2021; Zbl 1470.86002) Full Text: DOI
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 1481.65191 ESAIM, Math. Model. Numer. Anal. 55, Suppl., 909-939 (2021). MSC: 65M60 65M06 65N30 65M12 65M15 76S05 74F10 PDFBibTeX XMLCite \textit{X. Tang} et al., ESAIM, Math. Model. Numer. Anal. 55, 909--939 (2021; Zbl 1481.65191) Full Text: DOI
Yang, Di; He, Yinnian A discontinuous Galerkin method by patch reconstruction for convection-diffusion-reaction problems over polytopic meshes. (English) Zbl 1524.65871 Comput. Math. Appl. 97, 175-206 (2021). MSC: 65N30 65N12 65N15 35J25 65K10 49M41 PDFBibTeX XMLCite \textit{D. Yang} and \textit{Y. He}, Comput. Math. Appl. 97, 175--206 (2021; Zbl 1524.65871) Full Text: DOI arXiv
Bachini, Elena; Manzini, Gianmarco; Putti, Mario Arbitrary-order intrinsic virtual element method for elliptic equations on surfaces. (English) Zbl 1477.65188 Calcolo 58, No. 3, Paper No. 30, 28 p. (2021). MSC: 65N30 58J05 35B65 35R01 PDFBibTeX XMLCite \textit{E. Bachini} et al., Calcolo 58, No. 3, Paper No. 30, 28 p. (2021; Zbl 1477.65188) Full Text: DOI arXiv
Wang, Qiming; Zhou, Zhaojie Adaptive virtual element method for optimal control problem governed by general elliptic equation. (English) Zbl 1467.49020 J. Sci. Comput. 88, No. 1, Paper No. 14, 33 p. (2021). MSC: 49K20 65M99 PDFBibTeX XMLCite \textit{Q. Wang} and \textit{Z. Zhou}, J. Sci. Comput. 88, No. 1, Paper No. 14, 33 p. (2021; Zbl 1467.49020) Full Text: DOI
Meng, Jian; Wang, Gang; Mei, Liquan A lowest-order virtual element method for the Helmholtz transmission eigenvalue problem. (English) Zbl 1476.65287 Calcolo 58, No. 1, Paper No. 2, 22 p. (2021). MSC: 65N25 65N30 65N15 65N12 35P15 47B07 PDFBibTeX XMLCite \textit{J. Meng} et al., Calcolo 58, No. 1, Paper No. 2, 22 p. (2021; Zbl 1476.65287) Full Text: DOI