Wang, Shixi; Bi, Hai; Yang, Yidu An adaptive FEM for the elastic transmission eigenvalue problem with different elastic tensors and different mass densities. (English) Zbl 07796540 Adv. Comput. Math. 50, No. 1, Paper No. 8, 28 p. (2024). MSC: 65N25 65N30 65N50 65N15 37K15 74B05 35Q74 PDFBibTeX XMLCite \textit{S. Wang} et al., Adv. Comput. Math. 50, No. 1, Paper No. 8, 28 p. (2024; Zbl 07796540) Full Text: DOI
Ciarlet, Patrick jun.; Jamelot, Erell Variational methods for solving numerically magnetostatic systems. (English) Zbl 07796537 Adv. Comput. Math. 50, No. 1, Paper No. 5, 28 p. (2024). MSC: 35J56 65N30 78M10 PDFBibTeX XMLCite \textit{P. Ciarlet jun.} and \textit{E. Jamelot}, Adv. Comput. Math. 50, No. 1, Paper No. 5, 28 p. (2024; Zbl 07796537) Full Text: DOI
Chen, Meng; Gao, Rong; He, Yan; Kong, Linghua Numerical analysis of the direct method for 3D Maxwell’s equation in Kerr-type nonlinear media. (English) Zbl 1518.65084 Adv. Comput. Math. 49, No. 3, Paper No. 34, 28 p. (2023). MSC: 65M06 65N06 65M12 65M15 78A60 78M20 35L15 PDFBibTeX XMLCite \textit{M. Chen} et al., Adv. Comput. Math. 49, No. 3, Paper No. 34, 28 p. (2023; Zbl 1518.65084) Full Text: DOI
Spence, E. A. A simple proof that the hp-FEM does not suffer from the pollution effect for the constant-coefficient full-space Helmholtz equation. (English) Zbl 1514.35120 Adv. Comput. Math. 49, No. 2, Paper No. 27, 25 p. (2023). MSC: 35J05 65N12 65N15 65N30 PDFBibTeX XMLCite \textit{E. A. Spence}, Adv. Comput. Math. 49, No. 2, Paper No. 27, 25 p. (2023; Zbl 1514.35120) Full Text: DOI arXiv
Hashemi, Behnam; Nakatsukasa, Yuji; Trefethen, Lloyd N. Rectangular eigenvalue problems. (English) Zbl 1510.65065 Adv. Comput. Math. 48, No. 6, Paper No. 80, 16 p. (2022). MSC: 65F15 65N35 PDFBibTeX XMLCite \textit{B. Hashemi} et al., Adv. Comput. Math. 48, No. 6, Paper No. 80, 16 p. (2022; Zbl 1510.65065) Full Text: DOI arXiv
Claeys, Xavier; Collino, Francis; Parolin, Emile Nonlocal optimized Schwarz methods for time-harmonic electromagnetics. (English) Zbl 1501.65149 Adv. Comput. Math. 48, No. 6, Paper No. 72, 36 p. (2022). MSC: 65N55 65N30 65F10 65F15 65N22 65N12 78A40 78A45 78M10 35Q61 PDFBibTeX XMLCite \textit{X. Claeys} et al., Adv. Comput. Math. 48, No. 6, Paper No. 72, 36 p. (2022; Zbl 1501.65149) Full Text: DOI arXiv
Faustmann, Markus; Melenk, Jens Markus; Parvizi, Maryam \({\mathcal{H}} \)-matrix approximability of inverses of FEM matrices for the time-harmonic Maxwell equations. (English) Zbl 1502.65199 Adv. Comput. Math. 48, No. 5, Paper No. 59, 32 p. (2022). MSC: 65N30 65F55 78A25 35Q61 PDFBibTeX XMLCite \textit{M. Faustmann} et al., Adv. Comput. Math. 48, No. 5, Paper No. 59, 32 p. (2022; Zbl 1502.65199) Full Text: DOI arXiv
Ding, Qianqian; Mao, Shipeng; Sun, Jiaao Error estimates of H(div)-conforming method for nonstationary magnetohydrodynamic system. (English) Zbl 1498.76052 Adv. Comput. Math. 48, No. 5, Paper No. 55, 23 p. (2022). MSC: 76M10 76W05 65M15 65M12 PDFBibTeX XMLCite \textit{Q. Ding} et al., Adv. Comput. Math. 48, No. 5, Paper No. 55, 23 p. (2022; Zbl 1498.76052) Full Text: DOI
Wang, Zhoufeng An adaptive finite volume method for the diffraction grating problem with the truncated DtN boundary condition. (English) Zbl 1492.65290 Adv. Comput. Math. 48, No. 4, Paper No. 48, 28 p. (2022). MSC: 65N08 65N30 65N15 65N50 PDFBibTeX XMLCite \textit{Z. Wang}, Adv. Comput. Math. 48, No. 4, Paper No. 48, 28 p. (2022; Zbl 1492.65290) Full Text: DOI
Yue, Meiling; Xu, Fei; Xie, Manting A multilevel Newton’s method for the Steklov eigenvalue problem. (English) Zbl 1492.35398 Adv. Comput. Math. 48, No. 3, Paper No. 33, 29 p. (2022). MSC: 35Q99 65N25 65N30 65N55 PDFBibTeX XMLCite \textit{M. Yue} et al., Adv. Comput. Math. 48, No. 3, Paper No. 33, 29 p. (2022; Zbl 1492.35398) Full Text: DOI
Li, Jichun; Shu, Chi-Wang; Yang, Wei Development and analysis of two new finite element schemes for a time-domain carpet cloak model. (English) Zbl 1487.78031 Adv. Comput. Math. 48, No. 3, Paper No. 24, 30 p. (2022). MSC: 78M10 65M60 65M06 65N30 65M12 65M15 65F10 35Q60 PDFBibTeX XMLCite \textit{J. Li} et al., Adv. Comput. Math. 48, No. 3, Paper No. 24, 30 p. (2022; Zbl 1487.78031) Full Text: DOI
Nannen, Lothar; Wess, Markus Complex-scaled infinite elements for resonance problems in heterogeneous open systems. (English) Zbl 1493.65225 Adv. Comput. Math. 48, No. 2, Paper No. 8, 35 p. (2022). MSC: 65N30 65N12 35B34 35A15 PDFBibTeX XMLCite \textit{L. Nannen} and \textit{M. Wess}, Adv. Comput. Math. 48, No. 2, Paper No. 8, 35 p. (2022; Zbl 1493.65225) Full Text: DOI
Muoi, Pham Quy; Tan, Wee Chin; Hoang, Viet Ha Essentially optimal finite elements for multiscale elliptic eigenvalue problems. (English) Zbl 1479.65030 Adv. Comput. Math. 47, No. 6, Paper No. 80, 25 p. (2021). MSC: 65N30 65N25 65N15 35P15 35B27 35B65 35J15 PDFBibTeX XMLCite \textit{P. Q. Muoi} et al., Adv. Comput. Math. 47, No. 6, Paper No. 80, 25 p. (2021; Zbl 1479.65030) Full Text: DOI
Graham, I. G.; Pembery, O. R.; Spence, E. A. Analysis of a Helmholtz preconditioning problem motivated by uncertainty quantification. (English) Zbl 1473.35122 Adv. Comput. Math. 47, No. 5, Paper No. 68, 39 p. (2021). MSC: 35J05 35J25 65F08 65N22 65N30 PDFBibTeX XMLCite \textit{I. G. Graham} et al., Adv. Comput. Math. 47, No. 5, Paper No. 68, 39 p. (2021; Zbl 1473.35122) Full Text: DOI arXiv
Yang, Yidu; Zhang, Yu; Bi, Hai Non-conforming Crouzeix-Raviart element approximation for Stekloff eigenvalues in inverse scattering. (English) Zbl 1472.65137 Adv. Comput. Math. 46, No. 6, Paper No. 81, 25 p. (2020). MSC: 65N25 65N30 65N12 65N15 65N50 35P25 35B20 PDFBibTeX XMLCite \textit{Y. Yang} et al., Adv. Comput. Math. 46, No. 6, Paper No. 81, 25 p. (2020; Zbl 1472.65137) Full Text: DOI arXiv
Huang, Yunqing; Li, Jichun Numerical analysis of a finite element method for the electromagnetic concentrator model. (English) Zbl 1462.78023 Adv. Comput. Math. 46, No. 6, Paper No. 77, 24 p. (2020). MSC: 78M10 65M60 65F10 35Q60 PDFBibTeX XMLCite \textit{Y. Huang} and \textit{J. Li}, Adv. Comput. Math. 46, No. 6, Paper No. 77, 24 p. (2020; Zbl 1462.78023) Full Text: DOI
Bonizzoni, Francesca; Nobile, Fabio; Perugia, Ilaria; Pradovera, Davide Least-squares Padé approximation of parametric and stochastic Helmholtz maps. (English) Zbl 1439.30058 Adv. Comput. Math. 46, No. 3, Paper No. 46, 28 p. (2020). MSC: 30E10 35J05 41A21 32K12 PDFBibTeX XMLCite \textit{F. Bonizzoni} et al., Adv. Comput. Math. 46, No. 3, Paper No. 46, 28 p. (2020; Zbl 1439.30058) Full Text: DOI arXiv
Buet, Christophe; Despres, Bruno; Morel, Guillaume Trefftz discontinuous Galerkin basis functions for a class of Friedrichs systems coming from linear transport. (English) Zbl 1437.35523 Adv. Comput. Math. 46, No. 3, Paper No. 41, 27 p. (2020). MSC: 35Q20 65N30 35Q49 PDFBibTeX XMLCite \textit{C. Buet} et al., Adv. Comput. Math. 46, No. 3, Paper No. 41, 27 p. (2020; Zbl 1437.35523) Full Text: DOI HAL
Lu, Peipei; Wu, Haijun; Xu, Xuejun Continuous interior penalty finite element methods for the time-harmonic Maxwell equation with high wave number. (English) Zbl 1435.78020 Adv. Comput. Math. 45, No. 5-6, 3265-3291 (2019). MSC: 78M10 65N30 65N12 65N15 78A40 35Q61 PDFBibTeX XMLCite \textit{P. Lu} et al., Adv. Comput. Math. 45, No. 5--6, 3265--3291 (2019; Zbl 1435.78020) Full Text: DOI
Wang, Liang; Xiong, Chunguang; Wu, Huibin; Luo, Fusheng A priori and a posteriori error analysis for discontinuous Galerkin finite element approximations of biharmonic eigenvalue problems. (English) Zbl 1432.65166 Adv. Comput. Math. 45, No. 5-6, 2623-2646 (2019). MSC: 65N25 65N30 35P15 65N15 PDFBibTeX XMLCite \textit{L. Wang} et al., Adv. Comput. Math. 45, No. 5--6, 2623--2646 (2019; Zbl 1432.65166) Full Text: DOI
Hu, Qiya; Hu, Shaoliang A substructuring preconditioner with vertex-related interface solvers for elliptic-type equations in three dimensions. (English) Zbl 1415.65258 Adv. Comput. Math. 45, No. 3, 1129-1161 (2019). MSC: 65N30 65N55 74S05 74B05 78M10 78A25 PDFBibTeX XMLCite \textit{Q. Hu} and \textit{S. Hu}, Adv. Comput. Math. 45, No. 3, 1129--1161 (2019; Zbl 1415.65258) Full Text: DOI arXiv
Congreve, Scott; Houston, Paul; Perugia, Ilaria Adaptive refinement for \(hp\)-version Trefftz discontinuous Galerkin methods for the homogeneous Helmholtz problem. (English) Zbl 1419.65105 Adv. Comput. Math. 45, No. 1, 361-393 (2019). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65N50 35J05 78M10 PDFBibTeX XMLCite \textit{S. Congreve} et al., Adv. Comput. Math. 45, No. 1, 361--393 (2019; Zbl 1419.65105) Full Text: DOI arXiv
Li, Jichun; Chen, Meng; Chen, Min Developing and analyzing fourth-order difference methods for the metamaterial Maxwell’s equations. (English) Zbl 1428.65011 Adv. Comput. Math. 45, No. 1, 213-241 (2019). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65M06 65M12 65M15 78M20 35Q61 PDFBibTeX XMLCite \textit{J. Li} et al., Adv. Comput. Math. 45, No. 1, 213--241 (2019; Zbl 1428.65011) Full Text: DOI
Hiptmair, R.; Scarabosio, L.; Schillings, C.; Schwab, Ch. Large deformation shape uncertainty quantification in acoustic scattering. (English) Zbl 1402.35321 Adv. Comput. Math. 44, No. 5, 1475-1518 (2018). MSC: 35R60 60H35 65N75 65N12 76Q05 76M28 PDFBibTeX XMLCite \textit{R. Hiptmair} et al., Adv. Comput. Math. 44, No. 5, 1475--1518 (2018; Zbl 1402.35321) Full Text: DOI
Alonso Rodríguez, Ana; Bertolazzi, Enrico; Ghiloni, Riccardo; Specogna, Ruben Efficient construction of 2-chains representing a basis of \(H_{2}(\overline{\Omega}, \partial{\Omega}; \mathbb{Z})\). (English) Zbl 06995447 Adv. Comput. Math. 44, No. 5, 1411-1440 (2018). Reviewer: Jason Hanson (Redmond) MSC: 65D17 68U05 52B05 55N99 65D18 55U10 PDFBibTeX XMLCite \textit{A. Alonso Rodríguez} et al., Adv. Comput. Math. 44, No. 5, 1411--1440 (2018; Zbl 06995447) Full Text: DOI arXiv
Hu, Qiya; Yuan, Long A plane wave method combined with local spectral elements for nonhomogeneous Helmholtz equation and time-harmonic Maxwell equations. (English) Zbl 1383.78047 Adv. Comput. Math. 44, No. 1, 245-275 (2018). MSC: 78M22 65N30 65N55 35Q60 78A40 35J05 78M30 78A25 PDFBibTeX XMLCite \textit{Q. Hu} and \textit{L. Yuan}, Adv. Comput. Math. 44, No. 1, 245--275 (2018; Zbl 1383.78047) Full Text: DOI
Chaulet, N.; Haddar, H. Electromagnetic inverse shape problem for coated obstacles. (English) Zbl 1336.35365 Adv. Comput. Math. 41, No. 6, 1179-1205 (2015). MSC: 35R30 35P25 78A46 35Q61 PDFBibTeX XMLCite \textit{N. Chaulet} and \textit{H. Haddar}, Adv. Comput. Math. 41, No. 6, 1179--1205 (2015; Zbl 1336.35365) Full Text: DOI HAL
Qin, Hai-Hua; Colton, David The inverse scattering problem for cavities with impedance boundary condition. (English) Zbl 1238.35189 Adv. Comput. Math. 36, No. 2, 157-174 (2012). MSC: 35R30 65N21 78A46 PDFBibTeX XMLCite \textit{H.-H. Qin} and \textit{D. Colton}, Adv. Comput. Math. 36, No. 2, 157--174 (2012; Zbl 1238.35189) Full Text: DOI
Ivanyshyn, Olha; Kress, Rainer; Serranho, Pedro Huygens’ principle and iterative methods in inverse obstacle scattering. (English) Zbl 1205.65304 Adv. Comput. Math. 33, No. 4, 413-429 (2010). Reviewer: Erwin Schechter (Moers) MSC: 65N21 35J05 35R30 65R20 45G15 PDFBibTeX XMLCite \textit{O. Ivanyshyn} et al., Adv. Comput. Math. 33, No. 4, 413--429 (2010; Zbl 1205.65304) Full Text: DOI
Wei, T.; Zhou, D. Y. Convergence analysis for the Cauchy problem of Laplace’s equation by a regularized method of fundamental solutions. (English) Zbl 1213.65136 Adv. Comput. Math. 33, No. 4, 491-510 (2010). Reviewer: Robert Plato (Siegen) MSC: 65M80 65M30 65M70 65M12 35J05 PDFBibTeX XMLCite \textit{T. Wei} and \textit{D. Y. Zhou}, Adv. Comput. Math. 33, No. 4, 491--510 (2010; Zbl 1213.65136) Full Text: DOI
Gatica, Gabriel N.; Márquez, Antonio; Meddahi, Salim A new coupling of mixed finite element and boundary element methods for an exterior Helmholtz problem in the plane. (English) Zbl 1163.65081 Adv. Comput. Math. 30, No. 3, 281-301 (2009). Reviewer: Pavol Chocholatý (Bratislava) MSC: 65N30 65N38 65N15 35Q60 PDFBibTeX XMLCite \textit{G. N. Gatica} et al., Adv. Comput. Math. 30, No. 3, 281--301 (2009; Zbl 1163.65081) Full Text: DOI
Lin, Yanping; Zhang, Kai; Zou, Jun Studies on some perfectly matched layers for one-dimensional time-dependent systems. (English) Zbl 1166.65042 Adv. Comput. Math. 30, No. 1, 1-35 (2009). Reviewer: Fuhua Ling (Milpitas) MSC: 65M06 65M12 35L15 35Q60 76Q05 78M20 76M20 PDFBibTeX XMLCite \textit{Y. Lin} et al., Adv. Comput. Math. 30, No. 1, 1--35 (2009; Zbl 1166.65042) Full Text: DOI
Xie, Hehu Extrapolation of the Nédélec element for the Maxwell equations by the mixed finite element method. (English) Zbl 1166.78008 Adv. Comput. Math. 29, No. 2, 135-145 (2008). Reviewer: Gunther Schmidt (Berlin) MSC: 78M10 65N30 65N15 PDFBibTeX XMLCite \textit{H. Xie}, Adv. Comput. Math. 29, No. 2, 135--145 (2008; Zbl 1166.78008) Full Text: DOI
Liu, Yang; Hu, Qiya; Yu, Dehao A non-overlapping domain decomposition for low-frequency time-harmonic Maxwell’s equations in unbounded domains. (English) Zbl 1151.78369 Adv. Comput. Math. 28, No. 4, 355-382 (2008). MSC: 78M10 78M15 65N55 PDFBibTeX XMLCite \textit{Y. Liu} et al., Adv. Comput. Math. 28, No. 4, 355--382 (2008; Zbl 1151.78369) Full Text: DOI
Van, Tri; Wood, Aihua Finite element analysis of transient electromagnetic scattering problems. (English) Zbl 1067.35123 Adv. Comput. Math. 22, No. 1, 21-48 (2005). MSC: 35Q60 78M10 65M60 78A45 PDFBibTeX XMLCite \textit{T. Van} and \textit{A. Wood}, Adv. Comput. Math. 22, No. 1, 21--48 (2005; Zbl 1067.35123) Full Text: DOI