Zhang, Xin; Wu, Jingwen; Tan, Zhijun Highly efficient, decoupled and unconditionally stable numerical schemes for a modified phase-field crystal model with a strong nonlinear vacancy potential. (English) Zbl 07648419 Comput. Math. Appl. 132, 119-134 (2023). MSC: 65M12 65M06 82D25 65M60 65M55 PDF BibTeX XML Cite \textit{X. Zhang} et al., Comput. Math. Appl. 132, 119--134 (2023; Zbl 07648419) Full Text: DOI OpenURL
He, Yunhui Optimal smoothing factor with coarsening by a factor of three for the MAC scheme for the Stokes equations. (English) Zbl 07648416 Comput. Math. Appl. 132, 63-72 (2023). MSC: 65N55 65F10 65N30 76D07 35Q30 PDF BibTeX XML Cite \textit{Y. He}, Comput. Math. Appl. 132, 63--72 (2023; Zbl 07648416) Full Text: DOI arXiv OpenURL
de Hoop, Maarten V.; Furuya, Takashi; Lin, Ching-Lung; Nakamura, Gen; Vashisth, Manmohan Local recovery of a piecewise constant anisotropic conductivity in EIT on domains with exposed corners. (English) Zbl 07645573 Inverse Probl. 39, No. 2, Article ID 025005, 26 p. (2023). MSC: 35Rxx PDF BibTeX XML Cite \textit{M. V. de Hoop} et al., Inverse Probl. 39, No. 2, Article ID 025005, 26 p. (2023; Zbl 07645573) Full Text: DOI arXiv OpenURL
Jain, V.; Palha, A.; Gerritsma, M. Use of algebraic dual spaces in domain decomposition methods for Darcy flow in 3D domains. (English) Zbl 07644872 Comput. Methods Appl. Mech. Eng. 404, Article ID 115827, 27 p. (2023). MSC: 76-XX 65-XX PDF BibTeX XML Cite \textit{V. Jain} et al., Comput. Methods Appl. Mech. Eng. 404, Article ID 115827, 27 p. (2023; Zbl 07644872) Full Text: DOI arXiv OpenURL
Iollo, Angelo; Sambataro, Giulia; Taddei, Tommaso A one-shot overlapping Schwarz method for component-based model reduction: application to nonlinear elasticity. (English) Zbl 07644859 Comput. Methods Appl. Mech. Eng. 404, Article ID 115786, 32 p. (2023). MSC: 65N30 41A45 35J15 PDF BibTeX XML Cite \textit{A. Iollo} et al., Comput. Methods Appl. Mech. Eng. 404, Article ID 115786, 32 p. (2023; Zbl 07644859) Full Text: DOI arXiv OpenURL
Klawonn, Axel; Lanser, Martin; Wasiak, Adam Adaptive and frugal FETI-DP for virtual elements. (English) Zbl 07644537 Vietnam J. Math. 51, No. 1, 89-111 (2023). MSC: 65F10 65N30 65N55 PDF BibTeX XML Cite \textit{A. Klawonn} et al., Vietnam J. Math. 51, No. 1, 89--111 (2023; Zbl 07644537) Full Text: DOI OpenURL
Antonietti, Paola F.; Caldana, Matteo; Dede’, Luca Accelerating algebraic multigrid methods via artificial neural networks. (English) Zbl 07644534 Vietnam J. Math. 51, No. 1, 1-36 (2023). MSC: 65N55 65N30 65N22 68T01 PDF BibTeX XML Cite \textit{P. F. Antonietti} et al., Vietnam J. Math. 51, No. 1, 1--36 (2023; Zbl 07644534) Full Text: DOI arXiv OpenURL
Chaudet-Dumas, Bastien; Gander, Martin J. Cross-points in the Dirichlet-Neumann method. I: Well-posedness and convergence issues. (English) Zbl 07644393 Numer. Algorithms 92, No. 1, 301-334 (2023). MSC: 65-XX 35J05 35D35 65N55 65N06 PDF BibTeX XML Cite \textit{B. Chaudet-Dumas} and \textit{M. J. Gander}, Numer. Algorithms 92, No. 1, 301--334 (2023; Zbl 07644393) Full Text: DOI OpenURL
Hu, Shuanggui; Pan, Kejia; Wu, Xiaoxin; Ge, Yongbin; Li, Zhilin An efficient extrapolation multigrid method based on a HOC scheme on nonuniform rectilinear grids for solving 3D anisotropic convection-diffusion problems. (English) Zbl 07644186 Comput. Methods Appl. Mech. Eng. 403, Part A, Article ID 115724, 24 p. (2023). MSC: 65N06 65N55 PDF BibTeX XML Cite \textit{S. Hu} et al., Comput. Methods Appl. Mech. Eng. 403, Part A, Article ID 115724, 24 p. (2023; Zbl 07644186) Full Text: DOI OpenURL
Wang, Liang; Yuan, Xinpeng; Xiong, Chunguang A priori error analysis for an isogeometric discontinuous Galerkin approximation for convection problems on surfaces. (English) Zbl 07644149 Comput. Methods Appl. Mech. Eng. 403, Part A, Article ID 115638, 19 p. (2023). MSC: 65F10 65N30 65N55 PDF BibTeX XML Cite \textit{L. Wang} et al., Comput. Methods Appl. Mech. Eng. 403, Part A, Article ID 115638, 19 p. (2023; Zbl 07644149) Full Text: DOI OpenURL
Zhou, Zhongguo; Liang, Dong; Wong, Yaushu An efficient MMOCAA-DDM for solving advection diffusion equations. (English) Zbl 07644022 Comput. Math. Appl. 131, 35-53 (2023). MSC: 65M06 65M12 65M55 65Y05 35K15 PDF BibTeX XML Cite \textit{Z. Zhou} et al., Comput. Math. Appl. 131, 35--53 (2023; Zbl 07644022) Full Text: DOI OpenURL
Lee, Chaemin; Park, Jongho Preconditioning for finite element methods with strain smoothing. (English) Zbl 07644010 Comput. Math. Appl. 130, 41-57 (2023). MSC: 74S05 65N55 65N30 65F10 74B05 PDF BibTeX XML Cite \textit{C. Lee} and \textit{J. Park}, Comput. Math. Appl. 130, 41--57 (2023; Zbl 07644010) Full Text: DOI arXiv OpenURL
Becker, Roland; Gantner, Gregor; Innerberger, Michael; Praetorius, Dirk Goal-oriented adaptive finite element methods with optimal computational complexity. (English) Zbl 07643517 Numer. Math. 153, No. 1, 111-140 (2023). MSC: 65N30 65N50 65N55 65F08 65N15 65N12 65Y20 41A25 65N22 PDF BibTeX XML Cite \textit{R. Becker} et al., Numer. Math. 153, No. 1, 111--140 (2023; Zbl 07643517) Full Text: DOI arXiv OpenURL
Li, Sen; Xia, Yingzhi; Liu, Yu; Liao, Qifeng A deep domain decomposition method based on Fourier features. (English) Zbl 07640822 J. Comput. Appl. Math. 423, Article ID 114963, 18 p. (2023). MSC: 65N55 68T07 PDF BibTeX XML Cite \textit{S. Li} et al., J. Comput. Appl. Math. 423, Article ID 114963, 18 p. (2023; Zbl 07640822) Full Text: DOI arXiv OpenURL
Du, Guangzhi; Rong, Yao; Zuo, Liyun Numerical analysis of two-grid decoupled finite element algorithm for a coupled Darcy/Darcy fracture model. (English) Zbl 07639198 Appl. Math. Lett. 138, Article ID 108520, 5 p. (2023). MSC: 76S05 76M10 65N30 65N15 65N55 PDF BibTeX XML Cite \textit{G. Du} et al., Appl. Math. Lett. 138, Article ID 108520, 5 p. (2023; Zbl 07639198) Full Text: DOI OpenURL
Li, Yibao; Qin, Kang; Xia, Qing; Kim, Junseok A second-order unconditionally stable method for the anisotropic dendritic crystal growth model with an orientation-field. (English) Zbl 07630348 Appl. Numer. Math. 184, 512-526 (2023). MSC: 65M55 65M06 65N06 80A22 35K05 35Q79 PDF BibTeX XML Cite \textit{Y. Li} et al., Appl. Numer. Math. 184, 512--526 (2023; Zbl 07630348) Full Text: DOI OpenURL
Zhao, Hong-Jie; Yang, Haijian; Huang, Jizu Parallel generalized Lagrange-Newton method for fully coupled solution of PDE-constrained optimization problems with bound-constraints. (English) Zbl 07630331 Appl. Numer. Math. 184, 219-233 (2023). MSC: 90Cxx 49Mxx 65Fxx PDF BibTeX XML Cite \textit{H.-J. Zhao} et al., Appl. Numer. Math. 184, 219--233 (2023; Zbl 07630331) Full Text: DOI OpenURL
Sun, Ruixue; Xu, Yufeng Numerical solutions of Gelfand equation in steady combustion process. (English) Zbl 07627667 Appl. Math. Comput. 441, Article ID 127674, 12 p. (2023). MSC: 65N06 65N55 PDF BibTeX XML Cite \textit{R. Sun} and \textit{Y. Xu}, Appl. Math. Comput. 441, Article ID 127674, 12 p. (2023; Zbl 07627667) Full Text: DOI OpenURL
He, Yunhui Novel mass-based multigrid relaxation schemes for the Stokes equations. (English) Zbl 07627655 Appl. Math. Comput. 440, Article ID 127665, 14 p. (2023). MSC: 65N55 65F10 PDF BibTeX XML Cite \textit{Y. He}, Appl. Math. Comput. 440, Article ID 127665, 14 p. (2023; Zbl 07627655) Full Text: DOI arXiv OpenURL
Abreu, E.; Ferraz, P.; Espírito Santo, A. M.; Pereira, F.; Santos, L. G. C.; Sousa, F. S. Recursive formulation and parallel implementation of multiscale mixed methods. (English) Zbl 07625379 J. Comput. Phys. 473, Article ID 111681, 21 p. (2023). MSC: 65Nxx 76Mxx 76Sxx PDF BibTeX XML Cite \textit{E. Abreu} et al., J. Comput. Phys. 473, Article ID 111681, 21 p. (2023; Zbl 07625379) Full Text: DOI arXiv OpenURL
Lorin, Emmanuel; Yang, Xu Schwarz waveform relaxation-learning for advection-diffusion-reaction equations. (English) Zbl 07625378 J. Comput. Phys. 473, Article ID 111657, 16 p. (2023). MSC: 65Mxx 35Qxx 68Txx PDF BibTeX XML Cite \textit{E. Lorin} and \textit{X. Yang}, J. Comput. Phys. 473, Article ID 111657, 16 p. (2023; Zbl 07625378) Full Text: DOI arXiv OpenURL
Qin, Shanlin; Chen, Rongliang; Wu, Bokai; Cai, Xiao-Chuan A highly parallel fully implicit domain decomposition method for the simulation of the hemodynamics of a patient-specific artery at the full-body scale. (English) Zbl 07620381 J. Comput. Phys. 472, Article ID 111730, 18 p. (2023). MSC: 76Zxx 92Cxx 76Mxx PDF BibTeX XML Cite \textit{S. Qin} et al., J. Comput. Phys. 472, Article ID 111730, 18 p. (2023; Zbl 07620381) Full Text: DOI OpenURL
Vabishchevich, P. N. Subdomain solution decomposition method for nonstationary problems. (English) Zbl 07620363 J. Comput. Phys. 472, Article ID 111679, 20 p. (2023). MSC: 65Mxx 35Kxx 65Yxx PDF BibTeX XML Cite \textit{P. N. Vabishchevich}, J. Comput. Phys. 472, Article ID 111679, 20 p. (2023; Zbl 07620363) Full Text: DOI arXiv OpenURL
Utyuzhnikov, Sergey V.; Li, Hongru Domain decomposition with nonlocal interface boundary conditions. (English) Zbl 07614140 J. Comput. Appl. Math. 421, Article ID 114847, 17 p. (2023). MSC: 65N55 65N50 65F08 65N12 65Y05 76F50 35Q35 PDF BibTeX XML Cite \textit{S. V. Utyuzhnikov} and \textit{H. Li}, J. Comput. Appl. Math. 421, Article ID 114847, 17 p. (2023; Zbl 07614140) Full Text: DOI OpenURL
He, Yunhui; Liu, Jun; Wang, Xiang-Sheng Optimized sparse approximate inverse smoothers for solving Laplacian linear systems. (English) Zbl 07613297 Linear Algebra Appl. 656, 304-323 (2023). MSC: 65Nxx 65F50 65N55 65F10 65F15 PDF BibTeX XML Cite \textit{Y. He} et al., Linear Algebra Appl. 656, 304--323 (2023; Zbl 07613297) Full Text: DOI arXiv OpenURL
Li, Wuyang; Wang, Ziming; Cui, Tao; Xu, Yingxiang; Xiang, Xueshuang Deep domain decomposition methods: Helmholtz equation. (English) Zbl 07612910 Adv. Appl. Math. Mech. 15, No. 1, 118-138 (2023). MSC: 35Q68 65N55 78A48 PDF BibTeX XML Cite \textit{W. Li} et al., Adv. Appl. Math. Mech. 15, No. 1, 118--138 (2023; Zbl 07612910) Full Text: DOI OpenURL
Legeais, François; Lewandowski, Roger Continuous boundary condition at the interface for two coupled fluids. (English) Zbl 07599807 Appl. Math. Lett. 135, Article ID 108393, 6 p. (2023). MSC: 35Q35 76D07 76T06 76M10 76M30 65N55 65N30 PDF BibTeX XML Cite \textit{F. Legeais} and \textit{R. Lewandowski}, Appl. Math. Lett. 135, Article ID 108393, 6 p. (2023; Zbl 07599807) Full Text: DOI arXiv OpenURL
Li, Kun; Huang, Ting-Zhu; Li, Liang; Zhao, Ying; Lanteri, Stéphane A non-intrusive model order reduction approach for parameterized time-domain Maxwell’s equations. (English) Zbl 1498.78046 Discrete Contin. Dyn. Syst., Ser. B 28, No. 1, 449-473 (2023). MSC: 78M34 78M10 65M60 65M99 65F20 78A25 60G15 62F15 35Q60 PDF BibTeX XML Cite \textit{K. Li} et al., Discrete Contin. Dyn. Syst., Ser. B 28, No. 1, 449--473 (2023; Zbl 1498.78046) Full Text: DOI OpenURL
He, Yunhui A novel multigrid method for elliptic distributed control problems. (English) Zbl 1498.49033 J. Comput. Appl. Math. 419, Article ID 114771, 11 p. (2023). MSC: 49K20 65N55 65F10 PDF BibTeX XML Cite \textit{Y. He}, J. Comput. Appl. Math. 419, Article ID 114771, 11 p. (2023; Zbl 1498.49033) Full Text: DOI arXiv OpenURL
Alam, Mohammad Prawesh; Khan, Arshad A new numerical algorithm for time-dependent singularly perturbed differential-difference convection-diffusion equation arising in computational neuroscience. (English) Zbl 07645481 Comput. Appl. Math. 41, No. 8, Paper No. 402, 32 p. (2022). MSC: 65M99 65N35 65N55 65L10 65L60 34B16 PDF BibTeX XML Cite \textit{M. P. Alam} and \textit{A. Khan}, Comput. Appl. Math. 41, No. 8, Paper No. 402, 32 p. (2022; Zbl 07645481) Full Text: DOI OpenURL
Bakalakos, Serafeim; Georgioudakis, Manolis; Papadrakakis, Manolis Domain decomposition methods for 3D crack propagation problems using XFEM. (English) Zbl 07643955 Comput. Methods Appl. Mech. Eng. 402, Article ID 115390, 26 p. (2022). MSC: 65-XX 74-XX PDF BibTeX XML Cite \textit{S. Bakalakos} et al., Comput. Methods Appl. Mech. Eng. 402, Article ID 115390, 26 p. (2022; Zbl 07643955) Full Text: DOI OpenURL
Yin, Minglang; Zhang, Enrui; Yu, Yue; Karniadakis, George Em Interfacing finite elements with deep neural operators for fast multiscale modeling of mechanics problems. (English) Zbl 07643939 Comput. Methods Appl. Mech. Eng. 402, Article ID 115027, 26 p. (2022). MSC: 76-XX 74-XX PDF BibTeX XML Cite \textit{M. Yin} et al., Comput. Methods Appl. Mech. Eng. 402, Article ID 115027, 26 p. (2022; Zbl 07643939) Full Text: DOI arXiv OpenURL
Mazloum, Jalil; Hadian Siahkal-Mahalle, Behrang A time-splitting local meshfree approach for time-fractional anisotropic diffusion equation: application in image denoising. (English) Zbl 07636102 Adv. Contin. Discrete Models 2022, Paper No. 56, 19 p. (2022). MSC: 65M30 65M06 65M55 PDF BibTeX XML Cite \textit{J. Mazloum} and \textit{B. Hadian Siahkal-Mahalle}, Adv. Contin. Discrete Models 2022, Paper No. 56, 19 p. (2022; Zbl 07636102) Full Text: DOI OpenURL
Brannick, James; Cao, Shuhao A bootstrap multigrid eigensolver. (English) Zbl 07633958 SIAM J. Matrix Anal. Appl. 43, No. 4, 1627-1657 (2022). MSC: 65N25 65N30 65N55 58C40 PDF BibTeX XML Cite \textit{J. Brannick} and \textit{S. Cao}, SIAM J. Matrix Anal. Appl. 43, No. 4, 1627--1657 (2022; Zbl 07633958) Full Text: DOI arXiv OpenURL
Gao, Xinyue; Qin, Yi; Li, Jian; Chen, Zhangxin A full discretization of a time-dependent closed-loop geothermal system by a two-grid scheme. (English) Zbl 07630842 Results Appl. Math. 16, Article ID 100343, 24 p. (2022). MSC: 65M55 65M06 65N30 65N50 76S05 76D05 74L10 35K05 86A99 76M10 76M20 35Q35 35Q79 PDF BibTeX XML Cite \textit{X. Gao} et al., Results Appl. Math. 16, Article ID 100343, 24 p. (2022; Zbl 07630842) Full Text: DOI OpenURL
Berenguer, L.; Tromeur-Dervout, D. Sparse Aitken-Schwarz domain decomposition with application to Darcy flow. (English) Zbl 07627719 Comput. Fluids 249, Article ID 105687, 9 p. (2022). MSC: 76-XX PDF BibTeX XML Cite \textit{L. Berenguer} and \textit{D. Tromeur-Dervout}, Comput. Fluids 249, Article ID 105687, 9 p. (2022; Zbl 07627719) Full Text: DOI OpenURL
Dikhaminjia, Nana; Rogava, Jemal; Tsiklauri, Mikheil A parallel type decomposition scheme for quasi-linear abstract hyperbolic equation. (English) Zbl 07626521 Georgian Math. J. 29, No. 6, 833-849 (2022). MSC: 65M55 65M12 65M15 65Y05 65J05 35L90 PDF BibTeX XML Cite \textit{N. Dikhaminjia} et al., Georgian Math. J. 29, No. 6, 833--849 (2022; Zbl 07626521) Full Text: DOI arXiv OpenURL
Voet, Yannis; Anciaux, Guillaume; Deparis, Simone; Gervasio, Paola The INTERNODES method for applications in contact mechanics and dedicated preconditioning techniques. (English) Zbl 07625589 Comput. Math. Appl. 127, 48-64 (2022). MSC: 65F10 65N30 65F35 65N55 74M15 PDF BibTeX XML Cite \textit{Y. Voet} et al., Comput. Math. Appl. 127, 48--64 (2022; Zbl 07625589) Full Text: DOI OpenURL
Garay, José C.; Magoulès, Frédéric; Szyld, Daniel B. Synchronous and asynchronous optimized Schwarz methods for Poisson’s equation in rectangular domains. (English) Zbl 1498.65214 ETNA, Electron. Trans. Numer. Anal. 55, 744-791 (2022). MSC: 65N55 65F10 65N22 PDF BibTeX XML Cite \textit{J. C. Garay} et al., ETNA, Electron. Trans. Numer. Anal. 55, 744--791 (2022; Zbl 1498.65214) Full Text: DOI OpenURL
Zheng, Bo; Shang, Yueqiang A three-step defect-correction algorithm for incompressible flows with friction boundary conditions. (English) Zbl 07621821 Numer. Algorithms 91, No. 4, 1483-1510 (2022). MSC: 76D05 35Q30 65N55 65N30 PDF BibTeX XML Cite \textit{B. Zheng} and \textit{Y. Shang}, Numer. Algorithms 91, No. 4, 1483--1510 (2022; Zbl 07621821) Full Text: DOI OpenURL
Xu, Fei; Huang, Qiumei; Xie, Manting An efficient adaptive multigrid method for the elasticity eigenvalue problem. (English) Zbl 07621813 BIT 62, No. 4, 2005-2033 (2022). MSC: 65N55 65N50 65N25 65N30 65N12 65N15 65J15 74B99 74S05 PDF BibTeX XML Cite \textit{F. Xu} et al., BIT 62, No. 4, 2005--2033 (2022; Zbl 07621813) Full Text: DOI OpenURL
Huynh, Ngoc Mai Monica Newton-Krylov-BDDC deluxe solvers for non-symmetric fully implicit time discretizations of the bidomain model. (English) Zbl 07621778 Numer. Math. 152, No. 4, 841-879 (2022). MSC: 65M55 65M06 65H10 65F08 65F10 65Y05 65M12 92C30 92C37 92C50 PDF BibTeX XML Cite \textit{N. M. M. Huynh}, Numer. Math. 152, No. 4, 841--879 (2022; Zbl 07621778) Full Text: DOI arXiv OpenURL
Hesch, Christian; Schuß, Stefan Contact formulation for second gradient materials. (English) Zbl 07619907 Aldakheel, Fadi (ed.) et al., Current trends and open problems in computational mechanics. Cham: Springer. 171-179 (2022). MSC: 74M15 74B20 PDF BibTeX XML Cite \textit{C. Hesch} and \textit{S. Schuß}, in: Current trends and open problems in computational mechanics. Cham: Springer. 171--179 (2022; Zbl 07619907) Full Text: DOI OpenURL
Chen, Shi; Li, Qin; Lu, Jianfeng; Wright, Stephen J. Manifold learning and nonlinear homogenization. (English) Zbl 1498.65218 Multiscale Model. Simul. 20, No. 3, 1093-1126 (2022). MSC: 65N99 65N55 PDF BibTeX XML Cite \textit{S. Chen} et al., Multiscale Model. Simul. 20, No. 3, 1093--1126 (2022; Zbl 1498.65218) Full Text: DOI arXiv OpenURL
Arrutselvi, M.; Natarajan, E.; Natarajan, S. Virtual element method for the quasilinear convection-diffusion-reaction equation on polygonal meshes. (English) Zbl 07618981 Adv. Comput. Math. 48, No. 6, Paper No. 78, 45 p. (2022). MSC: 65N30 65N55 65N12 65N15 PDF BibTeX XML Cite \textit{M. Arrutselvi} et al., Adv. Comput. Math. 48, No. 6, Paper No. 78, 45 p. (2022; Zbl 07618981) Full Text: DOI OpenURL
Claeys, Xavier; Collino, Francis; Parolin, Emile Nonlocal optimized Schwarz methods for time-harmonic electromagnetics. (English) Zbl 07618975 Adv. Comput. Math. 48, No. 6, Paper No. 72, 36 p. (2022). MSC: 65N55 65N30 65F10 65F15 65N22 65N12 78A40 78A45 78M10 35Q61 PDF BibTeX XML Cite \textit{X. Claeys} et al., Adv. Comput. Math. 48, No. 6, Paper No. 72, 36 p. (2022; Zbl 07618975) Full Text: DOI arXiv OpenURL
Al Farei, Qais; Boulbrachene, Messaoud Mixing finite elements and finite differences in nonlinear Schwarz iterations for nonlinear elliptic pdes. (English) Zbl 07617508 Comput. Math. Model. 33, No. 1, 77-94 (2022). MSC: 65N30 65N06 65N55 65N15 35J60 PDF BibTeX XML Cite \textit{Q. Al Farei} and \textit{M. Boulbrachene}, Comput. Math. Model. 33, No. 1, 77--94 (2022; Zbl 07617508) Full Text: DOI OpenURL
Chen, Chao; Biros, George Overlapping domain decomposition preconditioner for integral equations. (English) Zbl 07617465 SIAM J. Sci. Comput. 44, No. 6, A3617-A3644 (2022). MSC: 65-XX 35R09 65F08 65N55 PDF BibTeX XML Cite \textit{C. Chen} and \textit{G. Biros}, SIAM J. Sci. Comput. 44, No. 6, A3617--A3644 (2022; Zbl 07617465) Full Text: DOI arXiv OpenURL
Gbikpi-Benissan, Guillaume; Magoulès, Frédéric Resilient asynchronous primal Schur method. (English) Zbl 07613019 Appl. Math., Praha 67, No. 6, 679-704 (2022). MSC: 65Y05 65F10 65N55 49M20 PDF BibTeX XML Cite \textit{G. Gbikpi-Benissan} and \textit{F. Magoulès}, Appl. Math., Praha 67, No. 6, 679--704 (2022; Zbl 07613019) Full Text: DOI OpenURL
Sheng, Hailong; Yang, Chao PFNN-2: a domain decomposed penalty-free neural network method for solving partial differential equations. (English) Zbl 1498.65155 Commun. Comput. Phys. 32, No. 4, 980-1006 (2022). MSC: 65M55 35K55 65M60 68T07 PDF BibTeX XML Cite \textit{H. Sheng} and \textit{C. Yang}, Commun. Comput. Phys. 32, No. 4, 980--1006 (2022; Zbl 1498.65155) Full Text: DOI arXiv OpenURL
Shi, Tianyi; Antil, Harbir; Kouri, Drew P. Spectral, tensor and domain decomposition methods for fractional PDEs. (English) Zbl 07612445 Comput. Methods Appl. Math. 22, No. 4, 987-1005 (2022). MSC: 65-XX 35S15 65R20 65N30 PDF BibTeX XML Cite \textit{T. Shi} et al., Comput. Methods Appl. Math. 22, No. 4, 987--1005 (2022; Zbl 07612445) Full Text: DOI OpenURL
Domínguez, Víctor; Turc, Catalin Boundary integral equation methods for the solution of scattering and transmission 2D elastodynamic problems. (English) Zbl 1500.65100 IMA J. Appl. Math. 87, No. 4, 647-706 (2022). MSC: 65N38 65N55 65D30 65R20 65F08 35P25 74B10 35Q74 PDF BibTeX XML Cite \textit{V. Domínguez} and \textit{C. Turc}, IMA J. Appl. Math. 87, No. 4, 647--706 (2022; Zbl 1500.65100) Full Text: DOI arXiv OpenURL
Zhou, Weixing; Martynenko, Sergey Robust one/two-grid solver for black-box software in the computational continuum mechanics. (English) Zbl 1500.65105 Badriev, Ildar B. (ed.) et al., Mesh methods for boundary-value problems and applications. 13th international conference, Kazan, Russia, October 20–25, 2020. Cham: Springer. Lect. Notes Comput. Sci. Eng. 141, 597-608 (2022). MSC: 65N55 65N50 65Y20 65-04 PDF BibTeX XML Cite \textit{W. Zhou} and \textit{S. Martynenko}, Lect. Notes Comput. Sci. Eng. 141, 597--608 (2022; Zbl 1500.65105) Full Text: DOI OpenURL
Gu, Qiling; Chen, Yanping; Huang, Yunqing Superconvergence analysis of a two-grid finite element method for nonlinear time-fractional diffusion equations. (English) Zbl 1500.65056 Comput. Appl. Math. 41, No. 8, Paper No. 361, 20 p. (2022). MSC: 65M55 65M60 65M06 65N30 65M12 26A33 35R11 PDF BibTeX XML Cite \textit{Q. Gu} et al., Comput. Appl. Math. 41, No. 8, Paper No. 361, 20 p. (2022; Zbl 1500.65056) Full Text: DOI OpenURL
Ertaş, Nil Orhan; Tribak, Rachid Some variations of projectivity. (English) Zbl 07608433 J. Algebra Appl. 21, No. 12, Article ID 2250236, 19 p. (2022). MSC: 16D10 16D40 16D50 16D60 16D70 16D80 PDF BibTeX XML Cite \textit{N. O. Ertaş} and \textit{R. Tribak}, J. Algebra Appl. 21, No. 12, Article ID 2250236, 19 p. (2022; Zbl 07608433) Full Text: DOI OpenURL
Sun, Yafei; Xu, Yingxiang; Wang, Shuangbin; Gao, Shan Optimized Ventcel-Schwarz methods for the Cahn-Hilliard equation discretized by the stabilized linear Crank-Nicolson scheme. (English) Zbl 07608425 Adv. Comput. Math. 48, No. 5, Paper No. 67, 28 p. (2022). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65F10 65M22 65N55 65N22 PDF BibTeX XML Cite \textit{Y. Sun} et al., Adv. Comput. Math. 48, No. 5, Paper No. 67, 28 p. (2022; Zbl 07608425) Full Text: DOI OpenURL
Lu, Peipei; Rupp, Andreas; Kanschat, Guido Homogeneous multigrid for HDG. (English) Zbl 07607694 IMA J. Numer. Anal. 42, No. 4, 3135-3153 (2022). MSC: 65N30 65N55 65N12 35B65 35J05 PDF BibTeX XML Cite \textit{P. Lu} et al., IMA J. Numer. Anal. 42, No. 4, 3135--3153 (2022; Zbl 07607694) Full Text: DOI arXiv OpenURL
Zingaro, Alberto; Fumagalli, Ivan; Dede, Luca; Fedele, Marco; Africa, Pasquale C.; Corno, Antonio F.; Quarteroni, Alfio A geometric multiscale model for the numerical simulation of blood flow in the human left heart. (English) Zbl 1497.92076 Discrete Contin. Dyn. Syst., Ser. S 15, No. 8, 2391-2427 (2022). MSC: 92C35 65M55 76Z05 92-10 PDF BibTeX XML Cite \textit{A. Zingaro} et al., Discrete Contin. Dyn. Syst., Ser. S 15, No. 8, 2391--2427 (2022; Zbl 1497.92076) Full Text: DOI arXiv OpenURL
Tielen, Roel; Möller, Matthias; Vuik, Kees A block ILUT smoother for multipatch geometries in isogeometric analysis. (English) Zbl 1497.65237 Manni, Carla (ed.) et al., Geometric challenges in isogeometric analysis. Selected papers based on the presentations at the workshop, Rome, Italy, January 27–31, 2020. Cham: Springer. Springer INdAM Ser. 49, 259-278 (2022). MSC: 65N30 65D07 65F10 65N55 PDF BibTeX XML Cite \textit{R. Tielen} et al., Springer INdAM Ser. 49, 259--278 (2022; Zbl 1497.65237) Full Text: DOI OpenURL
Hu, Zheyuan; Jagtap, Ameya D.; Karniadakis, George Em; Kawaguchi, Kenji When do extended physics-informed neural networks (XPINNs) improve generalization? (English) Zbl 1498.65183 SIAM J. Sci. Comput. 44, No. 5, A3158-A3182 (2022). MSC: 65M99 68Q32 68T05 65M55 PDF BibTeX XML Cite \textit{Z. Hu} et al., SIAM J. Sci. Comput. 44, No. 5, A3158--A3182 (2022; Zbl 1498.65183) Full Text: DOI arXiv OpenURL
Antoine, Xavier; Lorin, Emmanuel A Schwarz waveform relaxation method for time-dependent space fractional Schrödinger/heat equations. (English) Zbl 07603718 Appl. Numer. Math. 182, 248-264 (2022). MSC: 65M55 65M06 65N06 65M12 65M15 35Q55 35Q41 35Q79 26A33 35R11 PDF BibTeX XML Cite \textit{X. Antoine} and \textit{E. Lorin}, Appl. Numer. Math. 182, 248--264 (2022; Zbl 07603718) Full Text: DOI OpenURL
Yue, Xiaoqiang; He, Jianmeng; Xu, Xiaowen; Shu, Shi; Wang, Libo Two physics-based Schwarz preconditioners for three-temperature radiation diffusion equations in high dimensions. (English) Zbl 1497.65066 Commun. Comput. Phys. 32, No. 3, 829-849 (2022). MSC: 65F08 65F10 65M55 PDF BibTeX XML Cite \textit{X. Yue} et al., Commun. Comput. Phys. 32, No. 3, 829--849 (2022; Zbl 1497.65066) Full Text: DOI OpenURL
Hodapp, M. Efficient flexible boundary conditions for long dislocations. (English) Zbl 1496.65233 Commun. Comput. Phys. 32, No. 3, 671-714 (2022). MSC: 65N55 70C20 65N80 PDF BibTeX XML Cite \textit{M. Hodapp}, Commun. Comput. Phys. 32, No. 3, 671--714 (2022; Zbl 1496.65233) Full Text: DOI arXiv OpenURL
Panayotaros, Panayotis; Vargas-Magaña, Rosa Maria Water wave problem with inclined walls. (English) Zbl 07603671 Eur. J. Mech., B, Fluids 96, 108-121 (2022). Reviewer: Vincent Duchêne (Rennes) MSC: 76B15 76B07 PDF BibTeX XML Cite \textit{P. Panayotaros} and \textit{R. M. Vargas-Magaña}, Eur. J. Mech., B, Fluids 96, 108--121 (2022; Zbl 07603671) Full Text: DOI arXiv OpenURL
Lyu, Shiyu; Utyuzhnikov, Sergey A computational slip boundary condition for near-wall turbulence modeling. (English) Zbl 07602515 Comput. Fluids 246, Article ID 105628, 13 p. (2022). MSC: 76-XX PDF BibTeX XML Cite \textit{S. Lyu} and \textit{S. Utyuzhnikov}, Comput. Fluids 246, Article ID 105628, 13 p. (2022; Zbl 07602515) Full Text: DOI OpenURL
Tavares, Rodrigo S.; Santos, Renatha B.; Lima, Sidarta A.; dos Santos, Adriano; Klein, Viviane A multi-timestep Dirichlet-Neumann domain decomposition method applied to the polymer injection in porous media. (English) Zbl 1496.76088 Comput. Geosci. 26, No. 4, 757-778 (2022). MSC: 76M10 76S05 86A05 86-08 PDF BibTeX XML Cite \textit{R. S. Tavares} et al., Comput. Geosci. 26, No. 4, 757--778 (2022; Zbl 1496.76088) Full Text: DOI OpenURL
Köhler, Stephan; Rheinbach, Oliver Globalization of nonlinear FETI-DP domain decomposition methods using an SQP approach. (English) Zbl 07600701 Vietnam J. Math. 50, No. 4, 1053-1079 (2022). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N55 65K10 65F08 65F10 49M15 49M41 90C20 PDF BibTeX XML Cite \textit{S. Köhler} and \textit{O. Rheinbach}, Vietnam J. Math. 50, No. 4, 1053--1079 (2022; Zbl 07600701) Full Text: DOI OpenURL
Huynh, Ngoc Mai Monica; Pavarino, Luca F.; Scacchi, Simone Scalable and robust dual-primal Newton-Krylov deluxe solvers for cardiac electrophysiology with biophysical ionic models. (English) Zbl 07600700 Vietnam J. Math. 50, No. 4, 1029-1052 (2022). MSC: 65N55 65M55 65M60 65M06 65N30 65H10 65F08 65F10 92C30 35Q92 PDF BibTeX XML Cite \textit{N. M. M. Huynh} et al., Vietnam J. Math. 50, No. 4, 1029--1052 (2022; Zbl 07600700) Full Text: DOI OpenURL
Deparis, Simone; Gervasio, Paola Conservation of forces and total work at the interface using the internodes method. (English) Zbl 07600695 Vietnam J. Math. 50, No. 4, 901-928 (2022). Reviewer: Petr Sváček (Praha) MSC: 65N55 65N30 65N35 65N50 65N12 65D05 35J15 PDF BibTeX XML Cite \textit{S. Deparis} and \textit{P. Gervasio}, Vietnam J. Math. 50, No. 4, 901--928 (2022; Zbl 07600695) Full Text: DOI OpenURL
Ciaramella, Gabriele; Gander, Martin J.; Mamooler, Parisa How to best choose the outer coarse mesh in the domain decomposition method of Bank and Jimack. (English) Zbl 07600694 Vietnam J. Math. 50, No. 4, 867-899 (2022). MSC: 65F10 65N22 65N55 PDF BibTeX XML Cite \textit{G. Ciaramella} et al., Vietnam J. Math. 50, No. 4, 867--899 (2022; Zbl 07600694) Full Text: DOI OpenURL
N. A., Sreejith; Riber, Eleonore; Cuenot, Bénédicte Analysis and design of a local time stepping scheme for LES acceleration in reactive and non-reactive flow simulations. (English) Zbl 07599613 J. Comput. Phys. 470, Article ID 111580, 34 p. (2022). MSC: 65Mxx 76Mxx 76Fxx PDF BibTeX XML Cite \textit{S. N. A.} et al., J. Comput. Phys. 470, Article ID 111580, 34 p. (2022; Zbl 07599613) Full Text: DOI OpenURL
Cheng, Tianpei; Yang, Haijian; Sun, Shuyu Parallel fully coupled methods for bound-preserving solution of subsurface flow and transport in porous media. (English) Zbl 07599593 J. Comput. Phys. 470, Article ID 111537, 20 p. (2022). MSC: 65Mxx 76Mxx 65Fxx PDF BibTeX XML Cite \textit{T. Cheng} et al., J. Comput. Phys. 470, Article ID 111537, 20 p. (2022; Zbl 07599593) Full Text: DOI OpenURL
Zhang, Jinjin; Tu, Xuemin Robust BDDC algorithms for the Brinkman problem with HDG discretizations. (English) Zbl 07598931 Comput. Methods Appl. Mech. Eng. 400, Article ID 115548, 26 p. (2022). MSC: 65F08 65N30 65N55 76D07 PDF BibTeX XML Cite \textit{J. Zhang} and \textit{X. Tu}, Comput. Methods Appl. Mech. Eng. 400, Article ID 115548, 26 p. (2022; Zbl 07598931) Full Text: DOI OpenURL
Wang, Yizheng; Sun, Jia; Li, Wei; Lu, Zaiyuan; Liu, Yinghua CENN: conservative energy method based on neural networks with subdomains for solving variational problems involving heterogeneous and complex geometries. (English) Zbl 07598908 Comput. Methods Appl. Mech. Eng. 400, Article ID 115491, 35 p. (2022). MSC: 65-XX 92-XX PDF BibTeX XML Cite \textit{Y. Wang} et al., Comput. Methods Appl. Mech. Eng. 400, Article ID 115491, 35 p. (2022; Zbl 07598908) Full Text: DOI arXiv OpenURL
Wassim, Eid; Shang, Yueqiang Local and parallel finite element algorithms for the incompressible Navier-Stokes equations with damping. (English) Zbl 07595621 Discrete Contin. Dyn. Syst., Ser. B 27, No. 11, 6823-6840 (2022). MSC: 65N30 65N15 65N55 65Y05 76D05 76M10 35Q30 PDF BibTeX XML Cite \textit{E. Wassim} and \textit{Y. Shang}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 11, 6823--6840 (2022; Zbl 07595621) Full Text: DOI OpenURL
Piperni, Pat; Talukder, Maahi M. Newton linearization of the curvature operator in structured grid generation with sample solutions. (English) Zbl 1497.65207 Int. J. Math. Math. Sci. 2022, Article ID 7266801, 20 p. (2022). MSC: 65N06 65N50 65N12 65N55 PDF BibTeX XML Cite \textit{P. Piperni} and \textit{M. M. Talukder}, Int. J. Math. Math. Sci. 2022, Article ID 7266801, 20 p. (2022; Zbl 1497.65207) Full Text: DOI OpenURL
Xu, Yuan; Lei, Siu-Long; Sun, Hai-Wei An efficient multigrid method with preconditioned smoother for two-dimensional anisotropic space-fractional diffusion equations. (English) Zbl 07595306 Comput. Math. Appl. 124, 218-226 (2022). MSC: 65M06 65F10 35R11 65N55 65M12 PDF BibTeX XML Cite \textit{Y. Xu} et al., Comput. Math. Appl. 124, 218--226 (2022; Zbl 07595306) Full Text: DOI OpenURL
Gunatilake, Janitha An improved multigrid solver for the \(p\)-hierarchical basis finite element method using a space decomposition smoother. (English) Zbl 07595295 Comput. Math. Appl. 124, 52-62 (2022). MSC: 65N30 65N55 35J25 65F10 65N50 PDF BibTeX XML Cite \textit{J. Gunatilake}, Comput. Math. Appl. 124, 52--62 (2022; Zbl 07595295) Full Text: DOI OpenURL
Zhou, Rui-Rui; Sun, Ya-Song; Li, Ben-Wen The collocation spectral method with domain decomposition for radiative heat transfer in two-dimensional enclosures. (English) Zbl 07595285 Comput. Math. Appl. 123, 204-215 (2022). MSC: 80A20 76M22 65M70 45K05 78A40 PDF BibTeX XML Cite \textit{R.-R. Zhou} et al., Comput. Math. Appl. 123, 204--215 (2022; Zbl 07595285) Full Text: DOI OpenURL
Foadaddini, Ali; Zolfaghari, Seyed Alireza; Mahmoodi Darian, Hossein; Saadatfar, Hamid A new GPU-based corrected explicit-implicit domain decomposition scheme for convection-dominated diffusion problems. (English) Zbl 07595284 Comput. Math. Appl. 123, 184-203 (2022). MSC: 65M06 65M55 65M12 65Y05 65M15 PDF BibTeX XML Cite \textit{A. Foadaddini} et al., Comput. Math. Appl. 123, 184--203 (2022; Zbl 07595284) Full Text: DOI OpenURL
Brubeck, Pablo D.; Farrell, Patrick E. A scalable and robust vertex-star relaxation for high-order FEM. (English) Zbl 07595094 SIAM J. Sci. Comput. 44, No. 5, A2991-A3017 (2022). MSC: 65F08 65N35 65N55 PDF BibTeX XML Cite \textit{P. D. Brubeck} and \textit{P. E. Farrell}, SIAM J. Sci. Comput. 44, No. 5, A2991--A3017 (2022; Zbl 07595094) Full Text: DOI arXiv OpenURL
Zhao, Lina A Robin-type domain decomposition method for a novel mixed-type DG method for the coupled Stokes-Darcy problem. (English) Zbl 07595089 SIAM J. Sci. Comput. 44, No. 5, B1221-B1256 (2022). MSC: 65M55 65M60 65M12 PDF BibTeX XML Cite \textit{L. Zhao}, SIAM J. Sci. Comput. 44, No. 5, B1221--B1256 (2022; Zbl 07595089) Full Text: DOI arXiv OpenURL
Gong, Shihua; Gander, Martin J.; Graham, Ivan G.; Lafontaine, David; Spence, Euan A. Convergence of parallel overlapping domain decomposition methods for the Helmholtz equation. (English) Zbl 1497.65252 Numer. Math. 152, No. 2, 259-306 (2022). MSC: 65N55 65N22 65F08 65F10 65Y05 35J05 PDF BibTeX XML Cite \textit{S. Gong} et al., Numer. Math. 152, No. 2, 259--306 (2022; Zbl 1497.65252) Full Text: DOI arXiv OpenURL
Dong, Wenbin; Liu, Yingjie; Tang, Hansong Accuracy enhancing interface treatment algorithm: the back and forth error compensation and correction method. (English) Zbl 1497.65155 J. Sci. Comput. 93, No. 1, Paper No. 29, 25 p. (2022). MSC: 65M55 65M50 65M06 65M08 65D05 65T50 65M12 76D05 76M20 76M12 35Q30 PDF BibTeX XML Cite \textit{W. Dong} et al., J. Sci. Comput. 93, No. 1, Paper No. 29, 25 p. (2022; Zbl 1497.65155) Full Text: DOI arXiv OpenURL
Hoang, Thi-Thao-Phuong Optimized Ventcel-Schwarz waveform relaxation and mixed hybrid finite element method for transport problems. (English) Zbl 1495.65163 Discrete Contin. Dyn. Syst., Ser. S 15, No. 10, 2945-2964 (2022). MSC: 65M55 65M60 65M50 PDF BibTeX XML Cite \textit{T.-T.-P. Hoang}, Discrete Contin. Dyn. Syst., Ser. S 15, No. 10, 2945--2964 (2022; Zbl 1495.65163) Full Text: DOI arXiv OpenURL
Peralta, Sergio; Córdova, Jhon; Celis, Cesar; Maza, Danmer Parallel domain decomposition of a FEM-based tool for numerical modelling mineral slurry-like flows. (English) Zbl 07593070 Int. J. Comput. Fluid Dyn. 36, No. 4, 342-360 (2022). MSC: 76M10 76A05 86A05 PDF BibTeX XML Cite \textit{S. Peralta} et al., Int. J. Comput. Fluid Dyn. 36, No. 4, 342--360 (2022; Zbl 07593070) Full Text: DOI OpenURL
Xue, Guanyu; Gao, Yulong A Samarskii domain decomposition method for two-dimensional convection-diffusion equations. (English) Zbl 07592294 Comput. Appl. Math. 41, No. 6, Paper No. 283, 18 p. (2022). MSC: 65M06 65F10 PDF BibTeX XML Cite \textit{G. Xue} and \textit{Y. Gao}, Comput. Appl. Math. 41, No. 6, Paper No. 283, 18 p. (2022; Zbl 07592294) Full Text: DOI OpenURL
Lohmann, Christoph; Dünnebacke, Jonas; Turek, Stefan Fourier analysis of a time-simultaneous two-grid algorithm using a damped Jacobi waveform relaxation smoother for the one-dimensional heat equation. (English) Zbl 07590495 J. Numer. Math. 30, No. 3, 173-207 (2022). MSC: 65M55 65M06 65N06 65N30 65N12 65Y05 42A38 PDF BibTeX XML Cite \textit{C. Lohmann} et al., J. Numer. Math. 30, No. 3, 173--207 (2022; Zbl 07590495) Full Text: DOI OpenURL
Wang, Yue; Meng, Xiangyun; Li, Yonghai The Bogner-Fox-Schmit element finite volume methods on the Shishkin mesh for fourth-order singularly perturbed elliptic problems. (English) Zbl 1497.65208 J. Sci. Comput. 93, No. 1, Paper No. 4, 40 p. (2022). MSC: 65N08 65N12 65N15 65N55 35B25 35B35 35J75 35J30 PDF BibTeX XML Cite \textit{Y. Wang} et al., J. Sci. Comput. 93, No. 1, Paper No. 4, 40 p. (2022; Zbl 1497.65208) Full Text: DOI OpenURL
González-Gaxiola, O.; Biswas, Anjan; Yildirim, Yakup; Alshehri, Hashim M. Bright optical solitons with polynomial law of nonlinear refractive index by Adomian decomposition scheme. (English) Zbl 07590005 Proc. Est. Acad. Sci. 71, No. 3, 213-220 (2022). MSC: 78M99 65M55 78A60 35C08 35Q55 35Q41 PDF BibTeX XML Cite \textit{O. González-Gaxiola} et al., Proc. Est. Acad. Sci. 71, No. 3, 213--220 (2022; Zbl 07590005) Full Text: DOI OpenURL
Wu, Wei; Feng, Xinlong; Xu, Hui Improved deep neural networks with domain decomposition in solving partial differential equations. (English) Zbl 07589948 J. Sci. Comput. 93, No. 1, Paper No. 20, 34 p. (2022). MSC: 68Txx 65Nxx 65Mxx PDF BibTeX XML Cite \textit{W. Wu} et al., J. Sci. Comput. 93, No. 1, Paper No. 20, 34 p. (2022; Zbl 07589948) Full Text: DOI OpenURL
Després, B.; Nicolopoulos, A.; Thierry, B. Optimized transmission conditions in domain decomposition methods with cross-points for Helmholtz equation. (English) Zbl 07589940 SIAM J. Numer. Anal. 60, No. 5, 2482-2507 (2022). Reviewer: Temur A. Jangveladze (Tbilisi) MSC: 65N55 35J05 35B35 PDF BibTeX XML Cite \textit{B. Després} et al., SIAM J. Numer. Anal. 60, No. 5, 2482--2507 (2022; Zbl 07589940) Full Text: DOI OpenURL
Zhang, Jing; Rui, Hongxing Numerical analysis of two-grid block-centered finite difference method for two-phase flow in porous medium. (English) Zbl 07589269 Adv. Appl. Math. Mech. 14, No. 6, 1433-1455 (2022). MSC: 65M06 65M12 65M15 65M55 PDF BibTeX XML Cite \textit{J. Zhang} and \textit{H. Rui}, Adv. Appl. Math. Mech. 14, No. 6, 1433--1455 (2022; Zbl 07589269) Full Text: DOI OpenURL
Yan, Zhengzheng; Shang, Dandan; Li, Jingzhi; Chen, Rongliang A parallel numerical method for risk assessment of myocardial infarction during liver transplantation: a case study. (English) Zbl 07589261 Adv. Appl. Math. Mech. 14, No. 6, 1225-1245 (2022). MSC: 76D05 76F65 65M55 65Y05 PDF BibTeX XML Cite \textit{Z. Yan} et al., Adv. Appl. Math. Mech. 14, No. 6, 1225--1245 (2022; Zbl 07589261) Full Text: DOI OpenURL
Demidov, D. E. Efficient solution of 3D elasticity problems with smoothed aggregation algebraic multigrid and block arithmetics. (English) Zbl 07588304 Lobachevskii J. Math. 43, No. 4, 948-958 (2022). MSC: 65N55 65F10 65F08 65Y05 74B05 35Q74 PDF BibTeX XML Cite \textit{D. E. Demidov}, Lobachevskii J. Math. 43, No. 4, 948--958 (2022; Zbl 07588304) Full Text: DOI arXiv OpenURL
Alimov, Sh. A.; Khalmukhamedov, A. R. On a non-local problem for a Boussinesq type differential equation. (English) Zbl 1497.35087 Lobachevskii J. Math. 43, No. 4, 916-923 (2022). MSC: 35C10 35P05 PDF BibTeX XML Cite \textit{Sh. A. Alimov} and \textit{A. R. Khalmukhamedov}, Lobachevskii J. Math. 43, No. 4, 916--923 (2022; Zbl 1497.35087) Full Text: DOI OpenURL
Krzyżanowski, Piotr Analysis of a preconditioner for a membrane diffusion problem with the Kedem-Katchalsky transmission condition. (English) Zbl 07585766 Comput. Math. Appl. 122, 28-34 (2022). MSC: 65N30 65N55 35J25 65F35 65F10 PDF BibTeX XML Cite \textit{P. Krzyżanowski}, Comput. Math. Appl. 122, 28--34 (2022; Zbl 07585766) Full Text: DOI OpenURL
Dostál, Zdeněk; Horák, David; Kružík, Jakub; Brzobohatý, Tomáš; Vlach, Oldřich Highly scalable hybrid domain decomposition method for the solution of huge scalar variational inequalities. (English) Zbl 07584380 Numer. Algorithms 91, No. 2, 773-801 (2022). MSC: 65N30 65N55 65N50 65K15 65Y05 35J86 49M41 PDF BibTeX XML Cite \textit{Z. Dostál} et al., Numer. Algorithms 91, No. 2, 773--801 (2022; Zbl 07584380) Full Text: DOI OpenURL
Du, Guangzhi; Zuo, Liyun Local and parallel partition of unity scheme for the mixed Navier-Stokes-Darcy problem. (English) Zbl 1497.65251 Numer. Algorithms 91, No. 2, 635-650 (2022). MSC: 65N55 65N50 65N30 65Y05 65N12 65N15 76D05 76S05 76M10 PDF BibTeX XML Cite \textit{G. Du} and \textit{L. Zuo}, Numer. Algorithms 91, No. 2, 635--650 (2022; Zbl 1497.65251) Full Text: DOI OpenURL
Mabrouki, Yassine; Satouri, Jamil Spectral discretization of Darcy equations coupled with Navier-Stokes equations by vorticity-velocity-pressure formulation. (English) Zbl 07584080 Appl. Math., Praha 67, No. 4, 445-470 (2022). MSC: 65N55 65N30 65F08 PDF BibTeX XML Cite \textit{Y. Mabrouki} and \textit{J. Satouri}, Appl. Math., Praha 67, No. 4, 445--470 (2022; Zbl 07584080) Full Text: DOI OpenURL