van Bergen, Steven; Norte, Richard A.; Aragón, Alejandro M. An interface-enriched generalized finite element method for the analysis and topology optimization of 2-D electromagnetic problems. (English) Zbl 07824857 Comput. Methods Appl. Mech. Eng. 421, Article ID 116748, 22 p. (2024). MSC: 78-XX 74-XX PDFBibTeX XMLCite \textit{S. van Bergen} et al., Comput. Methods Appl. Mech. Eng. 421, Article ID 116748, 22 p. (2024; Zbl 07824857) Full Text: DOI
Cancès, Eric; Hassan, Muhammad; Vidal, Laurent Modified-operator method for the calculation of band diagrams of crystalline materials. (English) Zbl 07810330 Math. Comput. 93, No. 347, 1203-1245 (2024). MSC: 65N25 65N30 65F15 65D30 65N50 65N12 65N15 65Z05 35B45 78A60 74E15 74F15 82D80 35Q55 PDFBibTeX XMLCite \textit{E. Cancès} et al., Math. Comput. 93, No. 347, 1203--1245 (2024; Zbl 07810330) Full Text: DOI arXiv
Verfürth, Barbara Higher-order finite element methods for the nonlinear Helmholtz equation. (English) Zbl 07807899 J. Sci. Comput. 98, No. 3, Paper No. 66, 24 p. (2024). MSC: 65N30 65N15 65N12 47J26 78A40 78A60 78M10 35Q60 PDFBibTeX XMLCite \textit{B. Verfürth}, J. Sci. Comput. 98, No. 3, Paper No. 66, 24 p. (2024; Zbl 07807899) Full Text: DOI arXiv OA License
Du, Zhijie; Duan, Huoyuan Analysis of a direct discretization of the Maxwell eigenproblem. (English) Zbl 07782663 Appl. Math. Lett. 149, Article ID 108922, 6 p. (2024). MSC: 65N25 65N30 78M10 35Q61 58A14 35A15 PDFBibTeX XMLCite \textit{Z. Du} and \textit{H. Duan}, Appl. Math. Lett. 149, Article ID 108922, 6 p. (2024; Zbl 07782663) Full Text: DOI
Zhao, Meiling; Shi, Jieyu; Wang, Liqun A three-dimensional Petrov-Galerkin finite element interface method for solving inhomogeneous anisotropic Maxwell’s equations in irregular regions. (English) Zbl 07801672 Comput. Math. Appl. 152, 364-377 (2023). MSC: 65-XX 78-XX PDFBibTeX XMLCite \textit{M. Zhao} et al., Comput. Math. Appl. 152, 364--377 (2023; Zbl 07801672) Full Text: DOI
Finn, Daniel S.; Knepley, Matthew G.; Pusztay, Joseph V.; Adams, Mark F. A Numerical study of Landau damping with PETSc-PIC. (English) Zbl 07795552 Commun. Appl. Math. Comput. Sci. 18, No. 1, 135-152 (2023). MSC: 35Q83 35Q84 35Q61 65M60 65P10 65M75 65Y05 76M28 82D10 78A35 78A25 65Y05 65-04 68-04 PDFBibTeX XMLCite \textit{D. S. Finn} et al., Commun. Appl. Math. Comput. Sci. 18, No. 1, 135--152 (2023; Zbl 07795552) Full Text: DOI arXiv
Chen, Long; Guo, Ruchi; Zou, Jun A family of immersed finite element spaces and applications to three-dimensional \(\mathbf{H}(\operatorname{curl})\) interface problems. (English) Zbl 07790223 SIAM J. Sci. Comput. 45, No. 6, A3121-A3149 (2023). MSC: 65N30 65N55 65F08 65F10 65N12 65N15 58A12 78A55 35Q61 PDFBibTeX XMLCite \textit{L. Chen} et al., SIAM J. Sci. Comput. 45, No. 6, A3121--A3149 (2023; Zbl 07790223) Full Text: DOI arXiv
Assous, Franck; Raichik, Irina A numerical method for 3D time-dependent Maxwell’s equations in axisymmetric singular domains with arbitrary data. (English) Zbl 07789903 Math. Model. Anal. 28, No. 3, 487-508 (2023). MSC: 65N30 78M10 35B65 35L67 PDFBibTeX XMLCite \textit{F. Assous} and \textit{I. Raichik}, Math. Model. Anal. 28, No. 3, 487--508 (2023; Zbl 07789903) Full Text: DOI
Zhao, Meiling; He, Jiahui; Wang, Liqun Numerical solutions of the electromagnetic scattering by overfilled cavities with inhomogeneous anisotropic media. (English) Zbl 07784443 Commun. Comput. Phys. 34, No. 2, 530-562 (2023). MSC: 65-XX 35Q61 78A45 78M30 PDFBibTeX XMLCite \textit{M. Zhao} et al., Commun. Comput. Phys. 34, No. 2, 530--562 (2023; Zbl 07784443) Full Text: DOI
Łoś, Marcin; Woźniak, Maciej; Pingali, Keshav; Castillo, Luis Emilio Garcia; Alvarez-Aramberri, Julen; Pardo, David; Paszyński, Maciej Fast parallel IGA-AdS solver for time-dependent Maxwell’s equations. (English) Zbl 07783924 Comput. Math. Appl. 151, 36-49 (2023). MSC: 65M60 78M20 65M06 35L05 65N30 PDFBibTeX XMLCite \textit{M. Łoś} et al., Comput. Math. Appl. 151, 36--49 (2023; Zbl 07783924) Full Text: DOI
Du, Zhijie; Duan, Huoyuan; Wang, Can; Zhang, Qiuyu A Bochev-Dohrmann-Gunzburger stabilized method for Maxwell eigenproblem. (English) Zbl 07777379 Numer. Methods Partial Differ. Equations 39, No. 5, 3811-3846 (2023). MSC: 65N25 65N30 65N12 65N15 58A12 78A25 78M10 35A15 35Q60 PDFBibTeX XMLCite \textit{Z. Du} et al., Numer. Methods Partial Differ. Equations 39, No. 5, 3811--3846 (2023; Zbl 07777379) Full Text: DOI
Güçlü, Yaman; Hadjout, Said; Campos Pinto, Martin A broken FEEC framework for electromagnetic problems on mapped multipatch domains. (English) Zbl 1528.65071 J. Sci. Comput. 97, No. 2, Paper No. 52, 53 p. (2023). Reviewer: Jan Giesselmann (Darmstadt) MSC: 65M60 65N30 65D07 65N25 78A25 78A30 58A12 35A01 35A02 35Q60 35Q61 PDFBibTeX XMLCite \textit{Y. Güçlü} et al., J. Sci. Comput. 97, No. 2, Paper No. 52, 53 p. (2023; Zbl 1528.65071) Full Text: DOI arXiv OA License
Longo, Marcello; Opschoor, Joost A. A.; Disch, Nico; Schwab, Christoph; Zech, Jakob De Rham compatible deep neural network FEM. (English) Zbl 07755808 Neural Netw. 165, 721-739 (2023). MSC: 65M60 68T07 58A12 78M10 PDFBibTeX XMLCite \textit{M. Longo} et al., Neural Netw. 165, 721--739 (2023; Zbl 07755808) Full Text: DOI arXiv
Moufawad, Sophie M.; Nassif, Nabil R. Newton type methods for solving a Hasegawa-Mima plasma model. (English) Zbl 07748277 Appl. Math. Comput. 459, Article ID 128141, 25 p. (2023). MSC: 65-XX 35A01 35M33 65H10 65M60 78M10 PDFBibTeX XMLCite \textit{S. M. Moufawad} and \textit{N. R. Nassif}, Appl. Math. Comput. 459, Article ID 128141, 25 p. (2023; Zbl 07748277) Full Text: DOI arXiv
Cockburn, Bernardo; Du, Shukai; Sánchez, Manuel A. A priori error analysis of new semidiscrete, Hamiltonian HDG methods for the time-dependent Maxwell’s equations. (English) Zbl 07739207 ESAIM, Math. Model. Numer. Anal. 57, No. 4, 2097-2129 (2023). Reviewer: Temur A. Jangveladze (Tbilisi) MSC: 65M60 74H15 74J05 74S05 78A25 78M10 35Q61 35Q74 PDFBibTeX XMLCite \textit{B. Cockburn} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 4, 2097--2129 (2023; Zbl 07739207) Full Text: DOI
Alebrahim, Reza; Marfia, Sonia A fast adaptive PD-FEM coupling model for predicting cohesive crack growth. (English) Zbl 07737594 Comput. Methods Appl. Mech. Eng. 410, Article ID 116034, 29 p. (2023). MSC: 74-XX 78-XX PDFBibTeX XMLCite \textit{R. Alebrahim} and \textit{S. Marfia}, Comput. Methods Appl. Mech. Eng. 410, Article ID 116034, 29 p. (2023; Zbl 07737594) Full Text: DOI
Katona, Mihály; Kuczmann, Miklós; Orosz, Tamás Accuracy of the robust design analysis for the flux barrier modelling of an interior permanent magnet synchronous motor. (English) Zbl 1528.65073 J. Comput. Appl. Math. 429, Article ID 115228, 11 p. (2023). MSC: 65M60 78A55 78M10 35Q60 PDFBibTeX XMLCite \textit{M. Katona} et al., J. Comput. Appl. Math. 429, Article ID 115228, 11 p. (2023; Zbl 1528.65073) Full Text: DOI
He, Bin; Wang, Hao; Yang, Wei Design and adaptive finite element simulation of conformal transformation optics devices with isotropic materials. (English) Zbl 07731305 Comput. Math. Appl. 144, 198-209 (2023). MSC: 65N30 78M10 78A25 65N15 65N12 PDFBibTeX XMLCite \textit{B. He} et al., Comput. Math. Appl. 144, 198--209 (2023; Zbl 07731305) Full Text: DOI
Ozgun, Ozlem; Kuzuoglu, Mustafa; Beriot, Hadrien; Mittra, Raj Parametrization-free locally-conformal perfectly matched layer method for finite element solution of Helmholtz equation. (English) Zbl 07701706 Comput. Phys. Commun. 288, Article ID 108741, 19 p. (2023). MSC: 65-XX 78-XX PDFBibTeX XMLCite \textit{O. Ozgun} et al., Comput. Phys. Commun. 288, Article ID 108741, 19 p. (2023; Zbl 07701706) Full Text: DOI
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 78A60 35J05 PDFBibTeX XMLCite \textit{Y. Zhou} and \textit{H. Wu}, SIAM J. Numer. Anal. 61, No. 3, 1278--1292 (2023; Zbl 07695658) Full Text: DOI arXiv
Di Pietro, Daniele A.; Droniou, Jérôme Homological- and analytical-preserving serendipity framework for polytopal complexes, with application to the DDR method. (English) Zbl 1516.65127 ESAIM, Math. Model. Numer. Anal. 57, No. 1, 191-225 (2023). MSC: 65N30 65N12 58A12 78A30 76D07 35R09 PDFBibTeX XMLCite \textit{D. A. Di Pietro} and \textit{J. Droniou}, ESAIM, Math. Model. Numer. Anal. 57, No. 1, 191--225 (2023; Zbl 1516.65127) Full Text: DOI arXiv
Sun, Jiawei; Shu, Chi-Wang; Xing, Yulong Discontinuous Galerkin methods for stochastic Maxwell equations with multiplicative noise. (English) Zbl 07689068 ESAIM, Math. Model. Numer. Anal. 57, No. 2, 841-864 (2023). MSC: 65M60 65M06 65N30 65M12 65M15 65C30 60H35 78A25 35Q61 35R60 PDFBibTeX XMLCite \textit{J. Sun} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 2, 841--864 (2023; Zbl 07689068) Full Text: DOI arXiv
Hensel, Maurice; Yousept, Irwin Eddy current approximation in Maxwell obstacle problems. (English) Zbl 1519.35310 Interfaces Free Bound. 25, No. 1, 1-36 (2023). Reviewer: Eric Stachura (Marietta) MSC: 35Q60 78A30 35B45 35A01 35A02 35L85 78M10 78M20 65M60 65M06 65N30 41A25 PDFBibTeX XMLCite \textit{M. Hensel} and \textit{I. Yousept}, Interfaces Free Bound. 25, No. 1, 1--36 (2023; Zbl 1519.35310) Full Text: DOI
Poljak, D.; Antonijevic, S. Simple measure for power transfer efficiency of coupled dipole antennas based on root-mean square value of transient current. (English) Zbl 1521.78013 Eng. Anal. Bound. Elem. 148, 1-14 (2023). MSC: 78A50 78M20 65M06 65T50 PDFBibTeX XMLCite \textit{D. Poljak} and \textit{S. Antonijevic}, Eng. Anal. Bound. Elem. 148, 1--14 (2023; Zbl 1521.78013) Full Text: DOI
Di Pietro, Daniele A.; Droniou, Jérôme An arbitrary-order discrete de Rham complex on polyhedral meshes: exactness, Poincaré inequalities, and consistency. (English) Zbl 1512.65263 Found. Comput. Math. 23, No. 1, 85-164 (2023). Reviewer: Sebastian Franz (Dresden) MSC: 65N30 65N12 65N15 58A12 78A30 78M10 PDFBibTeX XMLCite \textit{D. A. Di Pietro} and \textit{J. Droniou}, Found. Comput. Math. 23, No. 1, 85--164 (2023; Zbl 1512.65263) Full Text: DOI arXiv
Feng, S. Z.; Sun, Q. J.; Han, X.; Incecik, Atilla; Li, Z. X. A novel algorithm for the stochastic analysis of electric field problems considering material and spatial uncertainties. (English) Zbl 1515.78023 Comput. Math. Appl. 133, 124-141 (2023). MSC: 78A48 78M10 PDFBibTeX XMLCite \textit{S. Z. Feng} et al., Comput. Math. Appl. 133, 124--141 (2023; Zbl 1515.78023) Full Text: DOI
Dörfler, Willy; Hochbruck, Marlis; Köhler, Jonas; Rieder, Andreas; Schnaubelt, Roland; Wieners, Christian Wave phenomena. Mathematical analysis and numerical approximation. (English) Zbl 1526.74001 Oberwolfach Seminars 49. Cham: Birkhäuser (ISBN 978-3-031-05792-2/pbk; 978-3-031-05793-9/ebook). xiv, 368 p. (2023). Reviewer: Fiazud Din Zaman (Lahore) MSC: 74-01 76-01 78-01 35-01 65-01 PDFBibTeX XMLCite \textit{W. Dörfler} et al., Wave phenomena. Mathematical analysis and numerical approximation. Cham: Birkhäuser (2023; Zbl 1526.74001) Full Text: DOI
Temizer, Ilker Higher-order finite element methods for Kohn-Sham density functional theory. (English) Zbl 1515.81235 Aldakheel, Fadi (ed.) et al., Current trends and open problems in computational mechanics. Cham: Springer. 527-535 (2022). MSC: 81V55 81V10 65N30 82M36 39A12 41A15 78A35 PDFBibTeX XMLCite \textit{I. Temizer}, in: Current trends and open problems in computational mechanics. Cham: Springer. 527--535 (2022; Zbl 1515.81235) Full Text: DOI
Beni Hamad, Akram; Beck, Geoffrey; Imperiale, Sébastien; Joly, Patrick An efficient numerical method for time domain electromagnetic wave propagation in co-axial cables. (English) Zbl 1497.65161 Comput. Methods Appl. Math. 22, No. 4, 861-888 (2022). MSC: 65M60 65M12 65M22 78M10 78M32 78M35 PDFBibTeX XMLCite \textit{A. Beni Hamad} et al., Comput. Methods Appl. Math. 22, No. 4, 861--888 (2022; Zbl 1497.65161) Full Text: DOI
Chao, Zhen; Gui, Sheng; Lu, Benzhuo; Xie, Dexuan Efficient generation of membrane and solvent tetrahedral meshes for ion channel finite element calculation. (English) Zbl 1513.65342 Int. J. Numer. Anal. Model. 19, No. 6, 887-906 (2022). MSC: 65M50 65M60 65-04 92-08 68N01 78A57 92C45 35Q20 35Q60 PDFBibTeX XMLCite \textit{Z. Chao} et al., Int. J. Numer. Anal. Model. 19, No. 6, 887--906 (2022; Zbl 1513.65342) Full Text: arXiv Link
Meßmer, Manuel; Teschemacher, Tobias; Leidinger, Lukas F.; Wüchner, Roland; Bletzinger, Kai-Uwe Efficient CAD-integrated isogeometric analysis of trimmed solids. (English) Zbl 1507.74540 Comput. Methods Appl. Mech. Eng. 400, Article ID 115584, 50 p. (2022). MSC: 74S22 78-10 PDFBibTeX XMLCite \textit{M. Meßmer} et al., Comput. Methods Appl. Mech. Eng. 400, Article ID 115584, 50 p. (2022; Zbl 1507.74540) Full Text: DOI
Freese, Philip The heterogeneous multiscale method for dispersive Maxwell systems. (English) Zbl 1493.65150 Multiscale Model. Simul. 20, No. 2, 769-797 (2022). MSC: 65M60 78M40 35B27 65M12 65M15 PDFBibTeX XMLCite \textit{P. Freese}, Multiscale Model. Simul. 20, No. 2, 769--797 (2022; Zbl 1493.65150) Full Text: DOI arXiv
Widlund, Olof B.; Scacchi, Simone; Pavarino, Luca F. BDDC deluxe algorithms for two-dimensional \(H(\operatorname{curl})\) isogeometric analysis. (English) Zbl 1503.65302 SIAM J. Sci. Comput. 44, No. 4, A2349-A2369 (2022). MSC: 65N30 65N55 65F08 65F10 78M10 PDFBibTeX XMLCite \textit{O. B. Widlund} et al., SIAM J. Sci. Comput. 44, No. 4, A2349--A2369 (2022; Zbl 1503.65302) Full Text: DOI
Hu, Shuaifei; Zhao, Guomei; An, Rong Temporal convergence of extrapolated BDF-2 scheme for the Maxwell-Landau-Lifshitz equations. (English) Zbl 1524.65549 Comput. Math. Appl. 119, 278-287 (2022). MSC: 65M60 35Q60 78M10 65N30 65M12 65B05 65M06 65M15 35K55 PDFBibTeX XMLCite \textit{S. Hu} et al., Comput. Math. Appl. 119, 278--287 (2022; Zbl 1524.65549) Full Text: DOI
Anees, Asad; Angermann, Lutz Energy stable time domain finite element methods for nonlinear models in optics and photonics. (English) Zbl 1513.65349 Int. J. Numer. Anal. Model. 19, No. 4, 511-541 (2022). MSC: 65M60 35Q61 78A60 PDFBibTeX XMLCite \textit{A. Anees} and \textit{L. Angermann}, Int. J. Numer. Anal. Model. 19, No. 4, 511--541 (2022; Zbl 1513.65349) Full Text: Link
Hochbruck, Marlis; Maier, Bernhard Error analysis for space discretizations of quasilinear wave-type equations. (English) Zbl 1503.65230 IMA J. Numer. Anal. 42, No. 3, 1963-1990 (2022). MSC: 65M60 65M06 65N30 65M15 35A01 35A02 35A15 35B45 78A60 76Q05 35Q60 35Q35 PDFBibTeX XMLCite \textit{M. Hochbruck} and \textit{B. Maier}, IMA J. Numer. Anal. 42, No. 3, 1963--1990 (2022; Zbl 1503.65230) Full Text: DOI Link
Campos Pinto, Martin; Kormann, Katharina; Sonnendrücker, Eric Variational framework for structure-preserving electromagnetic particle-in-cell methods. (English) Zbl 1494.35145 J. Sci. Comput. 91, No. 2, Paper No. 46, 39 p. (2022). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q61 35Q83 78A25 65M60 65M70 65M22 65D07 65T50 58A12 PDFBibTeX XMLCite \textit{M. Campos Pinto} et al., J. Sci. Comput. 91, No. 2, Paper No. 46, 39 p. (2022; Zbl 1494.35145) Full Text: DOI arXiv
Kapidani, Bernard; Merkel, Melina; Schöps, Sebastian; Vázquez, Rafael Tree-cotree decomposition of isogeometric mortared spaces in H(curl) on multi-patch domains. (English) Zbl 1507.78021 Comput. Methods Appl. Mech. Eng. 395, Article ID 114949, 21 p. (2022). MSC: 78M10 65N30 PDFBibTeX XMLCite \textit{B. Kapidani} et al., Comput. Methods Appl. Mech. Eng. 395, Article ID 114949, 21 p. (2022; Zbl 1507.78021) Full Text: DOI arXiv
Civiletti, B. J.; Lakhtakia, A.; Monk, P. B. Hybridization of the rigorous coupled-wave approach with transformation optics for electromagnetic scattering by a surface-relief grating. (English) Zbl 1491.78009 J. Comput. Appl. Math. 412, Article ID 114338, 22 p. (2022). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 78A45 78A25 78M10 78M30 65N30 65N12 65N15 35B45 35A02 35J05 35Q60 PDFBibTeX XMLCite \textit{B. J. Civiletti} et al., J. Comput. Appl. Math. 412, Article ID 114338, 22 p. (2022; Zbl 1491.78009) Full Text: DOI
Boureghda, Abdelouahab; Choutri, Abdelaziz; Rezgui, Hayat On domain error truncation in a problem of guided modes computation in optical fibers. (English) Zbl 1508.35172 Mediterr. J. Math. 19, No. 2, Paper No. 79, 22 p. (2022). MSC: 35Q60 78A60 78A50 35P15 35P30 35A15 65N30 65N15 78M10 PDFBibTeX XMLCite \textit{A. Boureghda} et al., Mediterr. J. Math. 19, No. 2, Paper No. 79, 22 p. (2022; Zbl 1508.35172) Full Text: DOI
Wang, Kechen; Liu, Jun; Xu, Jianhua An efficient FEM-BEM solution for electromagnetic analysis of inhomogeneous objects. (English) Zbl 1521.78021 Eng. Anal. Bound. Elem. 134, 139-146 (2022). MSC: 78M10 65N30 65N38 78A45 PDFBibTeX XMLCite \textit{K. Wang} et al., Eng. Anal. Bound. Elem. 134, 139--146 (2022; Zbl 1521.78021) Full Text: DOI
Chen, Gang; Monk, Peter; Zhang, Yangwen Superconvergent HDG methods for Maxwell’s equations via the \(M\)-decomposition. (English) Zbl 1477.65202 J. Comput. Appl. Math. 402, Article ID 113789, 26 p. (2022). MSC: 65N30 65N12 65N15 78A25 78M10 35Q61 PDFBibTeX XMLCite \textit{G. Chen} et al., J. Comput. Appl. Math. 402, Article ID 113789, 26 p. (2022; Zbl 1477.65202) Full Text: DOI arXiv
Du, Yu; Zhang, Jiwei On perfectly matched layers of nonlocal wave equations in unbounded multi-scale media. arXiv:2202.10048 Preprint, arXiv:2202.10048 [math.NA] (2022). MSC: 65N30 65R20 46N20 45A05 78A40 BibTeX Cite \textit{Y. Du} and \textit{J. Zhang}, ``On perfectly matched layers of nonlocal wave equations in unbounded multi-scale media'', Preprint, arXiv:2202.10048 [math.NA] (2022) Full Text: arXiv OA License
Dehghan, Mehdi; Shafieeabyaneh, Nasim; Abbaszadeh, Mostafa Numerical and theoretical discussions for solving nonlinear generalized Benjamin-Bona-Mahony-Burgers equation based on the Legendre spectral element method. (English) Zbl 07777701 Numer. Methods Partial Differ. Equations 37, No. 1, 360-382 (2021). MSC: 65M06 65N35 65D32 65M15 78A60 76Q05 76N30 76X05 35Q60 35Q35 PDFBibTeX XMLCite \textit{M. Dehghan} et al., Numer. Methods Partial Differ. Equations 37, No. 1, 360--382 (2021; Zbl 07777701) Full Text: DOI
Jiang, Song; Xu, Kun; Sun, Wenjun; Xu, Xiaojing Unified gas kinetic schemes for the radiation transfer equations. (Chinese. English summary) Zbl 1499.65498 Sci. Sin., Math. 51, No. 6, 799-832 (2021). MSC: 65M60 65M06 65N30 78A40 85A25 82C40 35B40 78M35 PDFBibTeX XMLCite \textit{S. Jiang} et al., Sci. Sin., Math. 51, No. 6, 799--832 (2021; Zbl 1499.65498) Full Text: DOI
Sukiasyan, H. S. Piecewise linear approximation by the method of worst segment division. (English) Zbl 07450561 Lobachevskii J. Math. 42, No. 12, 2969-2979 (2021). MSC: 65-XX 78-XX PDFBibTeX XMLCite \textit{H. S. Sukiasyan}, Lobachevskii J. Math. 42, No. 12, 2969--2979 (2021; Zbl 07450561) Full Text: DOI
Wang, Peizhen; Zhang, Dandan; Yang, Wei Error analysis of two-level finite element method for the nonlinear conductivity problem in Maxwell’s system. (English) Zbl 1488.65468 Adv. Appl. Math. Mech. 13, No. 4, 791-805 (2021). MSC: 65M60 65M06 65N30 65M15 78A25 78M10 78M15 35Q61 PDFBibTeX XMLCite \textit{P. Wang} et al., Adv. Appl. Math. Mech. 13, No. 4, 791--805 (2021; Zbl 1488.65468) Full Text: DOI
Caruso, Giovanni Mathematical modeling of the rod phototransduction process. (English) Zbl 1487.35374 Vespri, Vincenzo (ed.) et al., Harnack inequalities and nonlinear operators. Proceedings of the INdAM conference to celebrate the 70th birthday of Emmanuele DiBenedetto. Cham: Springer. Springer INdAM Ser. 46, 93-124 (2021). MSC: 35Q92 92C05 92C40 78A40 35A23 35B45 35B27 65M60 65M06 65N30 PDFBibTeX XMLCite \textit{G. Caruso}, Springer INdAM Ser. 46, 93--124 (2021; Zbl 1487.35374) Full Text: DOI
Elasmi, Mehdi; Erath, Christoph; Kurz, Stefan Non-symmetric isogeometric FEM-BEM couplings. (English) Zbl 1491.65133 Adv. Comput. Math. 47, No. 5, Paper No. 61, 36 p. (2021). MSC: 65N30 65N38 65N12 65N15 65D07 35A01 35A02 35B45 78A55 78M10 78M15 PDFBibTeX XMLCite \textit{M. Elasmi} et al., Adv. Comput. Math. 47, No. 5, Paper No. 61, 36 p. (2021; Zbl 1491.65133) Full Text: DOI arXiv
Monk, Peter B.; Rivas, Cinthya; Rodríguez, Rodolfo; Solano, Manuel E. An asymptotic model based on matching far and near field expansions for thin gratings problems. (English) Zbl 1477.65235 ESAIM, Math. Model. Numer. Anal. 55, Suppl., 507-533 (2021). MSC: 65N30 65N12 65N15 78A45 78A48 35B40 30B10 78M10 35Q60 PDFBibTeX XMLCite \textit{P. B. Monk} et al., ESAIM, Math. Model. Numer. Anal. 55, 507--533 (2021; Zbl 1477.65235) Full Text: DOI
Gedicke, Joscha; Geevers, Sjoerd; Perugia, Ilaria; Schöberl, Joachim A polynomial-degree-robust a posteriori error estimator for Nédélec discretizations of magnetostatic problems. (English) Zbl 1492.65307 SIAM J. Numer. Anal. 59, No. 4, 2237-2253 (2021). MSC: 65N30 65N15 65N50 78A30 78M10 35Q60 PDFBibTeX XMLCite \textit{J. Gedicke} et al., SIAM J. Numer. Anal. 59, No. 4, 2237--2253 (2021; Zbl 1492.65307) Full Text: DOI arXiv
Frochte, Jörg Finite element method. A practical introduction to GNU Octave/MATLAB. 2nd updated and expanded edition. (Finite-Elemente-Methode. Eine praxisbezogene Einführung mit GNU Octave/MATLAB.) (German) Zbl 1469.65003 München: Carl Hanser Verlag (ISBN 978-3-446-46915-0/pbk). 364 p. (2021). MSC: 65-01 65M60 65N30 65-04 74-01 74S05 76-01 78-01 80-01 PDFBibTeX XMLCite \textit{J. Frochte}, Finite-Elemente-Methode. Eine praxisbezogene Einführung mit GNU Octave/MATLAB. 2nd updated and expanded edition. München: Carl Hanser Verlag (2021; Zbl 1469.65003)
Yang, Yubo; Wang, Li-Lian; Zeng, Fanhai Analysis of a backward Euler-type scheme for Maxwell’s equations in a Havriliak-Negami dispersive medium. (English) Zbl 1481.65199 ESAIM, Math. Model. Numer. Anal. 55, No. 2, 479-506 (2021). MSC: 65M70 65M06 65N35 65N30 65E05 65N12 41A10 41A25 41A30 41A58 35B35 33E12 78A25 78A60 26A33 35R11 35Q60 PDFBibTeX XMLCite \textit{Y. Yang} et al., ESAIM, Math. Model. Numer. Anal. 55, No. 2, 479--506 (2021; Zbl 1481.65199) Full Text: DOI arXiv
Han, Daoru; He, Xiaoming; Lund, David; Zhang, Xu PIFE-PIC: parallel immersed finite element particle-in-cell for 3-D kinetic simulations of plasma-material interactions. (English) Zbl 1483.65199 SIAM J. Sci. Comput. 43, No. 3, C235-C257 (2021). Reviewer: Eric Chung (Hong Kong) MSC: 65N55 65N30 65N75 35R05 65Y05 78A30 82D10 85A99 65-04 PDFBibTeX XMLCite \textit{D. Han} et al., SIAM J. Sci. Comput. 43, No. 3, C235--C257 (2021; Zbl 1483.65199) Full Text: DOI arXiv
Chen, Jinyue; Li, Yixin; Hu, Xianliang A two-grid method for the phase-field model of photonic band gap optimization. (English) Zbl 1524.65776 Comput. Math. Appl. 96, 44-54 (2021). MSC: 65N30 65N25 65M60 65N55 35J05 65N12 65N15 78M50 65M06 78M10 78M20 PDFBibTeX XMLCite \textit{J. Chen} et al., Comput. Math. Appl. 96, 44--54 (2021; Zbl 1524.65776) Full Text: DOI
Wang, Jiangxing Convergence analysis of an accurate and efficient method for nonlinear Maxwell’s equations. (English) Zbl 1476.65254 Discrete Contin. Dyn. Syst., Ser. B 26, No. 5, 2429-2440 (2021). MSC: 65M60 65M06 65N30 65M12 78A25 78M10 78M20 82D55 35Q60 PDFBibTeX XMLCite \textit{J. Wang}, Discrete Contin. Dyn. Syst., Ser. B 26, No. 5, 2429--2440 (2021; Zbl 1476.65254) Full Text: DOI
Zhu, Bingxin; Wu, Haijun Preasymptotic error analysis of the HDG method for Helmholtz equation with large wave number. (English) Zbl 1471.65177 J. Sci. Comput. 87, No. 2, Paper No. 63, 34 p. (2021). MSC: 65N12 65N15 65N30 78A40 35J05 PDFBibTeX XMLCite \textit{B. Zhu} and \textit{H. Wu}, J. Sci. Comput. 87, No. 2, Paper No. 63, 34 p. (2021; Zbl 1471.65177) Full Text: DOI
Aylwin, Rubén; Jerez-Hanckes, Carlos The effect of quadrature rules on finite element solutions of Maxwell variational problems. Consistency estimates on meshes with straight and curved elements. (English) Zbl 1464.65168 Numer. Math. 147, No. 4, 903-936 (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N12 65N15 65D30 78M30 78M10 35Q61 35B40 PDFBibTeX XMLCite \textit{R. Aylwin} and \textit{C. Jerez-Hanckes}, Numer. Math. 147, No. 4, 903--936 (2021; Zbl 1464.65168) Full Text: DOI arXiv
Ashour, Mohammed; Valizadeh, Navid; Rabczuk, Timon Isogeometric analysis for a phase-field constrained optimization problem of morphological evolution of vesicles in electrical fields. (English) Zbl 1506.74117 Comput. Methods Appl. Mech. Eng. 377, Article ID 113669, 27 p. (2021). MSC: 74F15 65D07 74S05 65M60 74S22 78M20 PDFBibTeX XMLCite \textit{M. Ashour} et al., Comput. Methods Appl. Mech. Eng. 377, Article ID 113669, 27 p. (2021; Zbl 1506.74117) Full Text: DOI
Popoli, Arturo; Cristofolini, Andrea; Sandrolini, Leonardo A numerical model for the calculation of electromagnetic interference from power lines on nonparallel underground pipelines. (English) Zbl 07318308 Math. Comput. Simul. 183, 221-233 (2021). MSC: 78-XX 74-XX PDFBibTeX XMLCite \textit{A. Popoli} et al., Math. Comput. Simul. 183, 221--233 (2021; Zbl 07318308) Full Text: DOI
Liu, Xinfei; Yang, Xiaoyuan Mixed finite element method for the nonlinear time-fractional stochastic fourth-order reaction-diffusion equation. (English) Zbl 1524.65570 Comput. Math. Appl. 84, 39-55 (2021). MSC: 65M60 65M06 65N30 35R11 65M12 60H15 35Q92 92C10 74K15 74L15 78A20 92C37 92C05 76Q05 PDFBibTeX XMLCite \textit{X. Liu} and \textit{X. Yang}, Comput. Math. Appl. 84, 39--55 (2021; Zbl 1524.65570) Full Text: DOI
Ferreira, J. A.; de Oliveira, P.; Pena, G.; Silveira, E. Coupling nonlinear electric fields and temperature to enhance drug transport: an accurate numerical tool. (English) Zbl 1465.65071 J. Comput. Appl. Math. 384, Article ID 113127, 23 p. (2021). MSC: 65M06 65M12 78A35 92C37 92C45 35J60 35K57 PDFBibTeX XMLCite \textit{J. A. Ferreira} et al., J. Comput. Appl. Math. 384, Article ID 113127, 23 p. (2021; Zbl 1465.65071) Full Text: DOI
Gharibnejad, H.; Schneider, B. I.; Leadingham, M.; Schmale, H. J. A comparison of numerical approaches to the solution of the time-dependent Schrödinger equation in one dimension. (English) Zbl 07685711 Comput. Phys. Commun. 252, Article ID 106808, 12 p. (2020). MSC: 65-XX 78-XX PDFBibTeX XMLCite \textit{H. Gharibnejad} et al., Comput. Phys. Commun. 252, Article ID 106808, 12 p. (2020; Zbl 07685711) Full Text: DOI
Siemer, L.; Ovsyannikov, I.; Rademacher, J. D. M. Inhomogeneous domain walls in spintronic nanowires. (English) Zbl 1507.35273 Nonlinearity 33, No. 6, 2905-2941 (2020). MSC: 35Q60 78A25 82D40 82D77 82D80 35B32 35B07 35A01 35B05 35B44 78M10 78M20 PDFBibTeX XMLCite \textit{L. Siemer} et al., Nonlinearity 33, No. 6, 2905--2941 (2020; Zbl 1507.35273) Full Text: DOI arXiv
Simona, Abele; Bonaventura, Luca; de Falco, Carlo; Schöps, Sebastian IsoGeometric approximations for electromagnetic problems in axisymmetric domains. (English) Zbl 1506.78015 Comput. Methods Appl. Mech. Eng. 369, Article ID 113211, 24 p. (2020). MSC: 78M10 65N30 35Q61 65N12 65N25 78A25 PDFBibTeX XMLCite \textit{A. Simona} et al., Comput. Methods Appl. Mech. Eng. 369, Article ID 113211, 24 p. (2020; Zbl 1506.78015) Full Text: DOI arXiv
Yao, Changhui; Shi, Dongyang; Hou, Mengmeng Superconvergence analysis for the Maxwell’s equations in Debye medium with a thermal effect. (English) Zbl 1488.65481 Adv. Appl. Math. Mech. 12, No. 1, 141-163 (2020). MSC: 65M60 65M06 65N30 65M12 65D05 78A25 78M10 78M20 35Q61 PDFBibTeX XMLCite \textit{C. Yao} et al., Adv. Appl. Math. Mech. 12, No. 1, 141--163 (2020; Zbl 1488.65481) Full Text: DOI
Cheng, Zhiguang; Takahashi, Norio; Forghani, Behzad; Liu, Lanrong Establishment and development of benchmark family (P21). (English) Zbl 1469.78030 Cheng, Zhiguang (ed.) et al., Modeling and application of electromagnetic and thermal field in electrical engineering. Beijing: Science Press; Singapore: Springer. 451-516 (2020). MSC: 78A55 78A48 78-05 78A25 80A19 78M10 80M10 PDFBibTeX XMLCite \textit{Z. Cheng} et al., in: Modeling and application of electromagnetic and thermal field in electrical engineering. Beijing: Science Press; Singapore: Springer. 451--516 (2020; Zbl 1469.78030) Full Text: DOI
Takahashi, Norio Some key techniques in electromagnetic and thermal field modeling. (English) Zbl 1469.78040 Cheng, Zhiguang (ed.) et al., Modeling and application of electromagnetic and thermal field in electrical engineering. Beijing: Science Press; Singapore: Springer. 53-100 (2020). MSC: 78A55 78-05 78A25 80A19 78M10 78M50 80M10 PDFBibTeX XMLCite \textit{N. Takahashi}, in: Modeling and application of electromagnetic and thermal field in electrical engineering. Beijing: Science Press; Singapore: Springer. 53--100 (2020; Zbl 1469.78040) Full Text: DOI
Sun, Xiang; Lee, Eunjung; Choi, Jung-Il Quantification of measurement error effects on conductivity reconstruction in electrical impedance tomography. (English) Zbl 1512.65246 Inverse Probl. Sci. Eng. 28, No. 12, 1669-1693 (2020). MSC: 65N21 65N30 65K10 49M41 49Q12 62F15 78A46 92C55 35R30 PDFBibTeX XMLCite \textit{X. Sun} et al., Inverse Probl. Sci. Eng. 28, No. 12, 1669--1693 (2020; Zbl 1512.65246) Full Text: DOI
Darbas, Marion; Heleine, Jérémy; Lohrengel, Stephanie Sensitivity analysis for 3D Maxwell’s equations and its use in the resolution of an inverse medium problem at fixed frequency. (English) Zbl 1486.65228 Inverse Probl. Sci. Eng. 28, No. 4, 459-496 (2020). Reviewer: José Augusto Ferreira (Coimbra) MSC: 65N21 65N20 65N30 65D18 65R32 65J20 65K10 78A25 78M10 78M50 35Q61 PDFBibTeX XMLCite \textit{M. Darbas} et al., Inverse Probl. Sci. Eng. 28, No. 4, 459--496 (2020; Zbl 1486.65228) Full Text: DOI arXiv
Chai, Yingbin; You, Xiangyu; Li, Wei Dispersion reduction for the wave propagation problems using a coupled “FE-meshfree” triangular element. (English) Zbl 07342702 Int. J. Comput. Methods 17, No. 9, Article ID 1950071, 23 p. (2020). MSC: 74-XX 78-XX PDFBibTeX XMLCite \textit{Y. Chai} et al., Int. J. Comput. Methods 17, No. 9, Article ID 1950071, 23 p. (2020; Zbl 07342702) Full Text: DOI
Hu, Kaibo; Zhang, Qian; Zhang, Zhimin Simple curl-curl-conforming finite elements in two dimensions. (English) Zbl 1458.65148 SIAM J. Sci. Comput. 42, No. 6, A3859-A3877 (2020). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 35Q60 65N15 35B45 78M10 58A12 PDFBibTeX XMLCite \textit{K. Hu} et al., SIAM J. Sci. Comput. 42, No. 6, A3859--A3877 (2020; Zbl 1458.65148) Full Text: DOI arXiv
Liu, Yang; Li, Jin; Hu, Qiya; Jia, Zupeng; Yu, Dehao Some research progress on boundary element methods. (Chinese. English summary) Zbl 1463.65276 Math. Numer. Sin. 42, No. 3, 310-348 (2020). MSC: 65M38 65N38 65M60 65N30 78M15 65-02 PDFBibTeX XMLCite \textit{Y. Liu} et al., Math. Numer. Sin. 42, No. 3, 310--348 (2020; Zbl 1463.65276)
Assous, Franck; Raichik, Irina Numerical solution to the 3D static Maxwell equations in axisymmetric singular domains with arbitrary data. (English) Zbl 1451.65183 Comput. Methods Appl. Math. 20, No. 3, 419-435 (2020). MSC: 65N30 78M10 35B65 35L67 PDFBibTeX XMLCite \textit{F. Assous} and \textit{I. Raichik}, Comput. Methods Appl. Math. 20, No. 3, 419--435 (2020; Zbl 1451.65183) Full Text: DOI arXiv
Raila, Tomas; Meškauskas, Tadas; Valinčius, Gintaras; Jankunec, Marija; Penkauskas, Tadas Computer modeling of electrochemical impedance spectra for defected phospholipid membranes: finite element analysis. (English) Zbl 1465.65145 Sergeyev, Yaroslav D. (ed.) et al., Numerical computations: theory and algorithms. Third international conference, NUMTA 2019, Crotone, Italy, June 15–21, 2019. Revised selected papers. Part II. Cham: Springer. Lect. Notes Comput. Sci. 11974, 462-469 (2020). MSC: 65N30 65N50 65F10 78A57 35J05 74K10 PDFBibTeX XMLCite \textit{T. Raila} et al., Lect. Notes Comput. Sci. 11974, 462--469 (2020; Zbl 1465.65145) Full Text: DOI
Wang, Lixiu; Yao, Changhui; Zhang, Zhimin Convergence analysis of finite element approximation for 3-D magneto-heating coupling model. (English) Zbl 1465.65104 Int. J. Numer. Anal. Model. 17, No. 1, 1-23 (2020). MSC: 65M60 65M06 65N30 65M12 35A01 35A02 78A25 80A19 35Q60 78M10 78M20 PDFBibTeX XMLCite \textit{L. Wang} et al., Int. J. Numer. Anal. Model. 17, No. 1, 1--23 (2020; Zbl 1465.65104) Full Text: Link
Winckler, Malte; Yousept, Irwin; Zou, Jun Adaptive edge element approximation for \(H(\mathrm{curl})\) elliptic variational inequalities of second kind. (English) Zbl 1447.78016 SIAM J. Numer. Anal. 58, No. 3, 1941-1964 (2020). MSC: 78M10 78M30 65N15 65N12 35B65 35J86 65N30 PDFBibTeX XMLCite \textit{M. Winckler} et al., SIAM J. Numer. Anal. 58, No. 3, 1941--1964 (2020; Zbl 1447.78016) Full Text: DOI
Gedicke, Joscha; Geevers, Sjoerd; Perugia, Ilaria An equilibrated a posteriori error estimator for arbitrary-order Nédélec elements for magnetostatic problems. (English) Zbl 1442.65369 J. Sci. Comput. 83, No. 3, Paper No. 58, 23 p. (2020). MSC: 65N30 65N15 65N50 35Q60 78A30 78M10 PDFBibTeX XMLCite \textit{J. Gedicke} et al., J. Sci. Comput. 83, No. 3, Paper No. 58, 23 p. (2020; Zbl 1442.65369) Full Text: DOI arXiv
Henning, Patrick; Persson, Anna Computational homogenization of time-harmonic Maxwell’s equations. (English) Zbl 1440.35320 SIAM J. Sci. Comput. 42, No. 3, B581-B607 (2020). MSC: 35Q61 65N30 65N12 78M10 78M40 PDFBibTeX XMLCite \textit{P. Henning} and \textit{A. Persson}, SIAM J. Sci. Comput. 42, No. 3, B581--B607 (2020; Zbl 1440.35320) Full Text: DOI arXiv
Plumed, Emilio; Lope, Ignacio; Carretero, Claudio; Acero, Jesús A recursive methodology for modelling multi-stranded wires with multilevel helix structure. (English) Zbl 1481.78016 Appl. Math. Modelling 83, 76-89 (2020). MSC: 78A55 PDFBibTeX XMLCite \textit{E. Plumed} et al., Appl. Math. Modelling 83, 76--89 (2020; Zbl 1481.78016) Full Text: DOI Link
Nick, A. S.; Vynnycky, M. On longitudinal electromagnetic stirring in the continuous casting of steel blooms. (English) Zbl 1436.78010 J. Eng. Math. 120, 129-151 (2020). MSC: 78M35 78M10 78A55 78A25 76W05 76D05 35Q60 PDFBibTeX XMLCite \textit{A. S. Nick} and \textit{M. Vynnycky}, J. Eng. Math. 120, 129--151 (2020; Zbl 1436.78010) Full Text: DOI
Karwa, Rajendra Heat and mass transfer. 2nd corrected and expanded edition. (English) Zbl 1455.80001 Singapore: Springer (ISBN 978-981-15-3987-9/hbk; 978-981-15-3988-6/ebook). xxv, 1147 p. (2020). Reviewer: Piotr Garbaczewski (Opole) MSC: 80-01 80-10 74-10 76-10 35Q79 80A21 80A19 80M60 80M10 76N15 76R50 76N25 74F05 76F35 78A40 PDFBibTeX XMLCite \textit{R. Karwa}, Heat and mass transfer. 2nd corrected and expanded edition. Singapore: Springer (2020; Zbl 1455.80001) Full Text: DOI
Diwan, Ganesh C.; Mohamed, M. Shadi Iterative solution of Helmholtz problem with high-order isogeometric analysis and finite element method at mid-range frequencies. (English) Zbl 1436.78007 Comput. Methods Appl. Mech. Eng. 363, Article ID 112855, 21 p. (2020). MSC: 78M10 65N30 65N22 PDFBibTeX XMLCite \textit{G. C. Diwan} and \textit{M. S. Mohamed}, Comput. Methods Appl. Mech. Eng. 363, Article ID 112855, 21 p. (2020; Zbl 1436.78007) Full Text: DOI
Chandler-Wilde, S. N.; Spence, E. A.; Gibbs, A.; Smyshlyaev, V. P. High-frequency bounds for the Helmholtz equation under parabolic trapping and applications in numerical analysis. (English) Zbl 1431.35020 SIAM J. Math. Anal. 52, No. 1, 845-893 (2020). MSC: 35J05 35J25 35P25 65N30 65N38 78A45 PDFBibTeX XMLCite \textit{S. N. Chandler-Wilde} et al., SIAM J. Math. Anal. 52, No. 1, 845--893 (2020; Zbl 1431.35020) Full Text: DOI arXiv
Ma, Dingjiong; Ching, Wai-ki; Zhang, Zhiwen Proper orthogonal decomposition method for multiscale elliptic PDEs with random coefficients. (English) Zbl 1439.35588 J. Comput. Appl. Math. 370, Article ID 112635, 19 p. (2020). Reviewer: Igor Bock (Bratislava) MSC: 35R60 65N30 65N12 78M34 PDFBibTeX XMLCite \textit{D. Ma} et al., J. Comput. Appl. Math. 370, Article ID 112635, 19 p. (2020; Zbl 1439.35588) Full Text: DOI
Goldys, Beniamin; Grotowski, Joseph F.; Le, Kim-Ngan Weak martingale solutions to the stochastic Landau-Lifshitz-Gilbert equation with multi-dimensional noise via a convergent finite-element scheme. (English) Zbl 1433.35380 Stochastic Processes Appl. 130, No. 1, 232-261 (2020). MSC: 35Q60 35K55 35R60 60H15 65L60 65L20 65C30 35A01 35D30 82D40 60H10 34F05 65N30 35R09 78A25 PDFBibTeX XMLCite \textit{B. Goldys} et al., Stochastic Processes Appl. 130, No. 1, 232--261 (2020; Zbl 1433.35380) Full Text: DOI arXiv
Cortes Garcia, Idoia; De Gersem, Herbert; Schöps, Sebastian A structural analysis of field/circuit coupled problems based on a generalised circuit element. (English) Zbl 1447.78014 Numer. Algorithms 83, No. 1, 373-394 (2020). Reviewer: Jichun Li (Las Vegas) MSC: 78M10 65L80 78A25 PDFBibTeX XMLCite \textit{I. Cortes Garcia} et al., Numer. Algorithms 83, No. 1, 373--394 (2020; Zbl 1447.78014) Full Text: DOI arXiv
Yao, Changhui; Jia, Shanghui A second order numerical scheme for nonlinear Maxwell’s equations using conforming finite element. (English) Zbl 1433.78024 Appl. Math. Comput. 371, Article ID 124940, 12 p. (2020). MSC: 78M10 65M60 65M12 65M15 35Q60 PDFBibTeX XMLCite \textit{C. Yao} and \textit{S. Jia}, Appl. Math. Comput. 371, Article ID 124940, 12 p. (2020; Zbl 1433.78024) Full Text: DOI
Buffa, Annalisa; Corno, Jacopo; de Falco, Carlo; Schöps, Sebastian; Vázquez Hernández, Rafael Isogeometric mortar coupling for electromagnetic problems. (English) Zbl 1447.35306 SIAM J. Sci. Comput. 42, No. 1, B80-B104 (2020). Reviewer: Eric Stachura (Marietta) MSC: 35Q60 49M27 65D07 65N30 68Q25 68R10 68U05 78M10 PDFBibTeX XMLCite \textit{A. Buffa} et al., SIAM J. Sci. Comput. 42, No. 1, B80--B104 (2020; Zbl 1447.35306) Full Text: DOI arXiv
Pels, Andreas; De Gersem, Herbert; Sabariego, Ruth V.; Schöps, Sebastian Multirate PWM balance method for the efficient field-circuit coupled simulation of power converters. (English) Zbl 1511.78008 J. Math. Ind. 9, Paper No. 8, 12 p. (2019). MSC: 78M10 78M20 65L60 78A55 94C05 PDFBibTeX XMLCite \textit{A. Pels} et al., J. Math. Ind. 9, Paper No. 8, 12 p. (2019; Zbl 1511.78008) Full Text: DOI arXiv
Ganesh, M.; Hawkins, S. C.; Volkov, D. An efficient algorithm for a class of stochastic forward and inverse Maxwell models in \(\mathbb{R}^3\). (English) Zbl 1453.65017 J. Comput. Phys. 398, Article ID 108881, 33 p. (2019). MSC: 65C30 65N21 35R60 60H15 78A25 78M10 PDFBibTeX XMLCite \textit{M. Ganesh} et al., J. Comput. Phys. 398, Article ID 108881, 33 p. (2019; Zbl 1453.65017) Full Text: DOI
Creusé, Emmanuel; Le Menach, Yvonnick; Nicaise, Serge; Piriou, Francis; Tittarelli, Roberta Two guaranteed equilibrated error estimators for harmonic formulations in eddy current problems. (English) Zbl 1442.78004 Comput. Math. Appl. 77, No. 6, 1549-1562 (2019). MSC: 78A35 78M10 PDFBibTeX XMLCite \textit{E. Creusé} et al., Comput. Math. Appl. 77, No. 6, 1549--1562 (2019; Zbl 1442.78004) Full Text: DOI HAL
Fu, Yaoyao; Cao, Liqun The multiscale algorithms for the Maxwell-Dirac system in matrix form with quadratic correction. (Chinese. English summary) Zbl 1449.65178 Math. Numer. Sin. 41, No. 4, 419-439 (2019). MSC: 65M06 65M60 35C20 78M20 78M40 78M35 35Q41 35Q61 35R05 PDFBibTeX XMLCite \textit{Y. Fu} and \textit{L. Cao}, Math. Numer. Sin. 41, No. 4, 419--439 (2019; Zbl 1449.65178)
Garcia, Daniel; Pardo, David; Calo, Victor M. Refined isogeometric analysis for fluid mechanics and electromagnetics. (English) Zbl 1441.76060 Comput. Methods Appl. Mech. Eng. 356, 598-628 (2019). MSC: 76M10 78M10 65N30 65D07 PDFBibTeX XMLCite \textit{D. Garcia} et al., Comput. Methods Appl. Mech. Eng. 356, 598--628 (2019; Zbl 1441.76060) Full Text: DOI
Georg, Niklas; Ackermann, Wolfgang; Corno, Jacopo; Schöps, Sebastian Uncertainty quantification for Maxwell’s eigenproblem based on isogeometric analysis and mode tracking. (English) Zbl 1441.78003 Comput. Methods Appl. Mech. Eng. 350, 228-244 (2019). MSC: 78A25 78M10 65D07 65N25 65N30 PDFBibTeX XMLCite \textit{N. Georg} et al., Comput. Methods Appl. Mech. Eng. 350, 228--244 (2019; Zbl 1441.78003) Full Text: DOI arXiv
Pegolotti, Luca; Dedè, Luca; Quarteroni, Alfio Isogeometric analysis of the electrophysiology in the human heart: numerical simulation of the bidomain equations on the atria. (English) Zbl 1440.78006 Comput. Methods Appl. Mech. Eng. 343, 52-73 (2019). MSC: 78M10 92-08 65M60 65D07 78A35 92C30 PDFBibTeX XMLCite \textit{L. Pegolotti} et al., Comput. Methods Appl. Mech. Eng. 343, 52--73 (2019; Zbl 1440.78006) Full Text: DOI
Hochbruck, Marlis; Maier, Bernhard; Stohrer, Christian Heterogeneous multiscale method for Maxwell’s equations. (English) Zbl 1435.78019 Multiscale Model. Simul. 17, No. 4, 1147-1171 (2019). MSC: 78M10 65M60 65M06 65L06 65M12 65M15 65N15 65M20 35Q61 78M20 78A25 PDFBibTeX XMLCite \textit{M. Hochbruck} et al., Multiscale Model. Simul. 17, No. 4, 1147--1171 (2019; Zbl 1435.78019) Full Text: DOI
Wang, Chao; Sun, Zhengjia; Cui, Jintao A new error analysis of a mixed finite element method for the quad-curl problem. (English) Zbl 1428.78032 Appl. Math. Comput. 349, 23-38 (2019). MSC: 78M10 65N30 35Q61 65N15 78M99 PDFBibTeX XMLCite \textit{C. Wang} et al., Appl. Math. Comput. 349, 23--38 (2019; Zbl 1428.78032) Full Text: DOI
Winckler, Malte; Yousept, Irwin Fully discrete scheme for Bean’s critical-state model with temperature effects in superconductivity. (English) Zbl 1427.35269 SIAM J. Numer. Anal. 57, No. 6, 2685-2706 (2019). MSC: 35Q61 35Q60 35L87 78M10 82D55 35Q82 78M20 65M06 65N30 PDFBibTeX XMLCite \textit{M. Winckler} and \textit{I. Yousept}, SIAM J. Numer. Anal. 57, No. 6, 2685--2706 (2019; Zbl 1427.35269) Full Text: DOI
He, Juncai; Hu, Kaibo; Xu, Jinchao Generalized Gaffney inequality and discrete compactness for discrete differential forms. (English) Zbl 1428.65084 Numer. Math. 143, No. 4, 781-795 (2019). MSC: 65N30 65N12 58J10 35D30 78M10 58A14 PDFBibTeX XMLCite \textit{J. He} et al., Numer. Math. 143, No. 4, 781--795 (2019; Zbl 1428.65084) Full Text: DOI arXiv