Xi, Yingxia; Ji, Xia A finite element contour integral method for computing the scattering resonances of fluid-solid interaction problem. (English) Zbl 07974283 J. Comput. Phys. 521, Part 1, Article ID 113539, 15 p. (2025). MSC: 65-XX 74-XX × Cite Format Result Cite Review PDF Full Text: DOI
Mahata, Shantiram; Nataraj, Neela; Raymond, Jean-Pierre Lowest-order nonstandard finite element methods for time-fractional biharmonic problem. (English) Zbl 07971361 ESAIM, Math. Model. Numer. Anal. 59, No. 1, 43-71 (2025). MSC: 65-XX 35R11 65M15 65M60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Marcon, Francesca; Mora, David A stabilization-free virtual element method for the convection-diffusion eigenproblem. (English) Zbl 07969191 J. Sci. Comput. 102, No. 2, Paper No. 46, 33 p. (2025). MSC: 65N25 65N30 65N12 65N15 35P15 × Cite Format Result Cite Review PDF Full Text: DOI
Tan, Ting; Cao, Waixiang Spectral approximation and error analysis for the transmission eigenvalue problem with an isotropic inhomogeneous medium. (English) Zbl 1548.65262 J. Comput. Appl. Math. 453, Article ID 116163, 14 p. (2025). Reviewer: Dana Černá (Liberec) MSC: 65N25 65N35 65N15 35P30 35J15 42C10 × Cite Format Result Cite Review PDF Full Text: DOI
Melenk, Jens Markus; Rojik, Claudio A note on the shift theorem for the Laplacian in polygonal domains. (English) Zbl 07980740 Appl. Math., Praha 69, No. 5, 653-693 (2024). MSC: 35J25 35B65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Jun; Luo, Zijiang; Han, Jiayu; Chen, Hu A-priori and a-posteriori error estimates for discontinuous Galerkin method of the Maxwell eigenvalue problem. (English) Zbl 07967249 Comput. Math. Appl. 176, 190-201 (2024). MSC: 65-XX 93-XX × Cite Format Result Cite Review PDF Full Text: DOI
Apel, Thomas; Zilk, Philipp Isogeometric analysis of the Laplace eigenvalue problem on circular sectors: regularity properties and graded meshes. (English) Zbl 07967211 Comput. Math. Appl. 175, 236-254 (2024). MSC: 65-XX 74-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Taumhas, Yonah Conjungo; Dusson, Geneviève; Ehrlacher, Virginie; Lelièvre, Tony; Madiot, François Reduced basis method for non-symmetric eigenvalue problems: application to the multigroup neutron diffusion equations. (English) Zbl 07957232 ESAIM, Math. Model. Numer. Anal. 58, No. 5, 1959-1987 (2024). MSC: 65N25 65N30 65N15 82D75 35B36 35P15 65F20 65F15 15A09 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hou, Pengyu; Liu, Fang; Zhou, Aihui Symmetrized two-scale finite element discretizations for partial differential equations with symmetric solutions. (English) Zbl 07956261 Comput. Methods Appl. Math. 24, No. 4, 887-908 (2024). MSC: 65N30 65N15 65N25 65N50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bonito, Andrea; Guignard, Diane; Lei, Wenyu Numerical approximation of Gaussian random fields on closed surfaces. (English) Zbl 07956259 Comput. Methods Appl. Math. 24, No. 4, 829-858 (2024). MSC: 65N30 35R11 35R60 35S16 60G60 65N12 65N15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jiang, Jiantao; Zhang, Zhimin An efficient decoupled and dimension reduction scheme for quad-curl eigenvalue problem in balls and spherical shells. (English) Zbl 07953245 Comput. Math. Appl. 174, 454-480 (2024). MSC: 78-XX 65-XX × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Yidu; Wang, Shixi; Bi, Hai The a posteriori error estimates of the FE approximation of defective eigenvalues for non-self-adjoint eigenvalue problems. (English) Zbl 07946605 SIAM J. Numer. Anal. 62, No. 6, 2419-2438 (2024). MSC: 65N25 65N30 65N15 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Yifan; Lin, Zhongshuo; Liao, Yangfei; Liu, Haochen; Xie, Hehu Solving high-dimensional partial differential equations using tensor neural network and a posteriori error estimators. (English) Zbl 07945518 J. Sci. Comput. 101, No. 3, Paper No. 67, 29 p. (2024). MSC: 68T07 65N25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ma, Suna; Li, Huiyuan; Zhang, Zhimin; Chen, Hu; Chen, Lizhen Efficient spectral methods for eigenvalue problems of the integral fractional Laplacian on a ball of any dimension. (English) Zbl 07924445 J. Comput. Math. 42, No. 4, 1032-1062 (2024). MSC: 65N35 65N25 × Cite Format Result Cite Review PDF Full Text: DOI
Lamaizi, A.; Zerouali, A.; Chakrone, O.; Karim, B. Global existence and blow-up of solutions for a class of Steklov parabolic problems. (English) Zbl 07905328 Bol. Soc. Parana. Mat. (3) 42, Paper No. 49, 12 p. (2024). MSC: 35K55 35K61 35J05 × Cite Format Result Cite Review PDF Full Text: DOI
Cimrman, Robert; Kolman, Radek; González, José A.; Park, K. C. Higher-order inverse mass matrices for the explicit transient analysis of heterogeneous solids. (English) Zbl 07901011 Int. J. Numer. Methods Eng. 125, No. 11, Article ID e7457, 25 p. (2024). MSC: 74S05 74H45 74E05 × Cite Format Result Cite Review PDF Full Text: DOI
Alvarez, María Luz; Armentano, María Gabriela; Durán, Ricardo G. Raviart-Thomas interpolation in fractional weighted Sobolev spaces. (English) Zbl 07894770 Comput. Math. Appl. 168, 39-45 (2024). MSC: 65-XX 41-XX × Cite Format Result Cite Review PDF Full Text: DOI
Adak, Dibyendu; Manzini, Gianmarco; Natarajan, Sundararajan Nonconforming virtual element methods for velocity-pressure Stokes eigenvalue problem. (English) Zbl 1543.65179 Appl. Numer. Math. 202, 42-66 (2024). MSC: 65N30 65N25 65N12 65N15 76D07 35B65 35P30 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Caiqun; Tan, Ting; An, Jing An efficient finite element method and error analysis based on dimension reduction scheme for the fourth-order elliptic eigenvalue problems in a circular domain. (English) Zbl 07873492 Int. J. Comput. Methods 21, No. 1, Article ID 2350018, 22 p. (2024). MSC: 65N25 35J91 35P15 × Cite Format Result Cite Review PDF Full Text: DOI
Carstensen, Carsten; Gräßle, Benedikt; Tran, Ngoc Tien Adaptive hybrid high-order method for guaranteed lower eigenvalue bounds. (English) Zbl 1548.65259 Numer. Math. 156, No. 3, 813-851 (2024). Reviewer: Temur A. Jangveladze (Tbilisi) MSC: 65N25 65N30 65N50 65F15 65N12 65Y20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nakano, Taiga; Li, Qin; Yue, Meiling; Liu, Xuefeng Guaranteed lower eigenvalue bounds for Steklov operators using conforming finite element methods. (English) Zbl 1541.65141 Comput. Methods Appl. Math. 24, No. 2, 495-510 (2024). MSC: 65N25 65N30 35P15 65N15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
An, Jing; Cao, Waixiang; Zhang, Zhimin A novel mixed spectral method and error estimates for Maxwell transmission eigenvalue problems. (English) Zbl 1541.65169 SIAM J. Numer. Anal. 62, No. 3, 1039-1066 (2024). MSC: 65N35 65N30 65N12 65N15 65N25 35P25 35P15 78A40 78A46 35Q60 × Cite Format Result Cite Review PDF Full Text: DOI
Cui, Tiangang; De Sterck, Hans; Gilbert, Alexander D.; Polishchuk, Stanislav; Scheichl, Robert Multilevel Monte Carlo methods for stochastic convection-diffusion eigenvalue problems. (English) Zbl 1546.65102 J. Sci. Comput. 99, No. 3, Paper No. 77, 35 p. (2024). MSC: 65N25 65C05 65N30 65N50 65F15 65N15 65N99 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Yifan; Xie, Hehu Computing multi-eigenpairs of high-dimensional eigenvalue problems using tensor neural networks. (English) Zbl 07843831 J. Comput. Phys. 506, Article ID 112928, 17 p. (2024). MSC: 65Fxx 68Txx 65Mxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Carstensen, Carsten; Gräßle, Benedikt Rate-optimal higher-order adaptive conforming FEM for biharmonic eigenvalue problems on polygonal domains. (English) Zbl 1539.74423 Comput. Methods Appl. Mech. Eng. 425, Article ID 116931, 18 p. (2024). MSC: 74S05 65N30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xu, Fei; Wang, Bingyi; Xie, Manting Multilevel local defect-correction method for the non-selfadjoint Steklov eigenvalue problems. (English) Zbl 1541.65165 BIT 64, No. 2, Paper No. 21, 36 p. (2024). MSC: 65N30 65N25 65L15 × Cite Format Result Cite Review PDF Full Text: DOI
Carstensen, Carsten; Puttkammer, Sophie Adaptive guaranteed lower eigenvalue bounds with optimal convergence rates. (English) Zbl 1533.65213 Numer. Math. 156, No. 1, 1-38 (2024). Reviewer: Petr Sváček (Praha) MSC: 65N25 65N30 65N50 65N12 65N15 65Y20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lepe, Felipe; Mora, David; Vellojin, Jesus Discontinuous Galerkin methods for the acoustic vibration problem. (English) Zbl 1531.65224 J. Comput. Appl. Math. 441, Article ID 115700, 21 p. (2024). MSC: 65N25 65N30 65N12 65N15 76Q05 76B03 70J30 76M10 35A15 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 1531.65226 Adv. Comput. Math. 50, No. 1, Paper No. 8, 28 p. (2024). MSC: 65N25 65N30 65N50 65N15 37K15 74B05 35Q74 × Cite Format Result Cite Review PDF Full Text: DOI
Cancès, Eric; Kemlin, Gaspard; Levitt, Antoine A priori error analysis of linear and nonlinear periodic Schrödinger equations with analytic potentials. (English) Zbl 1542.35381 J. Sci. Comput. 98, No. 1, Paper No. 25, 21 p. (2024). Reviewer: Jiguang Sun (Houghton) MSC: 35Q82 35Q55 82M36 82B20 65N25 65F15 35P30 35A20 35B35 35B44 35J60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Xu, Fei; Chen, Shuangshuang; Luo, Fusheng A novel domain decomposition method for eigenvalue problems. (English) Zbl 1530.65182 J. Sci. Comput. 98, No. 1, Paper No. 11, 24 p. (2024). MSC: 65N55 65N25 65N30 65H10 65K10 65F05 65F22 65Y05 35P30 × Cite Format Result Cite Review PDF Full Text: DOI
Du, Zhijie; Duan, Huoyuan Analysis of a direct discretization of the Maxwell eigenproblem. (English) Zbl 1530.65151 Appl. Math. Lett. 149, Article ID 108922, 6 p. (2024). MSC: 65N25 65N30 78M10 35Q61 58A14 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Meng, Jian; Mei, Liquan; Fei, Mingfa \( \boldsymbol{H}^1\)-conforming virtual element method for the Laplacian eigenvalue problem in mixed form. (English) Zbl 1519.65050 J. Comput. Appl. Math. 436, Article ID 115395, 17 p. (2024). MSC: 65N25 65N30 65N15 × Cite Format Result Cite Review PDF Full Text: DOI
Querales, J.; Venegas, P. Numerical approximation of an axisymmetric elastoacoustic eigenvalue problem. (English) Zbl 1536.65131 Commun. Comput. Phys. 34, No. 5, 1420-1438 (2023). MSC: 65N25 65N15 74F10 × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Ling Ling; Bi, Hai; Yang, Yidu A multigrid discretization of discontinuous Galerkin method for the Stokes eigenvalue problem. (English) Zbl 1536.65132 Commun. Comput. Phys. 34, No. 5, 1391-1419 (2023). MSC: 65N25 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Xuqing; Han, Jiayu; Yang, Yidu A stabilized nonconforming Crouzeix-Raviart finite element method for the elasticity eigenvalue problem with the pure traction boundary condition. (English) Zbl 1534.65256 Math. Methods Appl. Sci. 46, No. 17, 17615-17631 (2023). MSC: 65N30 74S05 × Cite Format Result Cite Review PDF Full Text: DOI
Adak, Dibyendu; Mora, David; Velásquez, Iván Nonconforming virtual element discretization for the transmission eigenvalue problem. (English) Zbl 07801670 Comput. Math. Appl. 152, 250-267 (2023). MSC: 65-XX 74-XX × Cite Format Result Cite Review PDF Full Text: DOI
Jiang, Jiantao; An, Jing Numerical approximation based on a decoupled dimensionality reduction scheme for Maxwell eigenvalue problem. (English) Zbl 1538.65474 Math. Methods Appl. Sci. 46, No. 16, 17367-17387 (2023). MSC: 65N25 65N15 65N35 78A25 78M30 78M34 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Lepe, Felipe; Rivera, Gonzalo VEM discretization allowing small edges for the reaction-convection-diffusion equation: source and spectral problems. (English) Zbl 1530.65168 ESAIM, Math. Model. Numer. Anal. 57, No. 5, 3139-3164 (2023). MSC: 65N30 65N25 65N12 65N15 76R50 35B45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sun, Lingling; Bi, Hai; Yang, Yidu The discontinuous Galerkin and the nonconforming ECR element approximations for an MHD Stokes eigenvalue problem. (English) Zbl 1538.65551 Math. Methods Appl. Sci. 46, No. 5, 6154-6176 (2023). MSC: 65N30 65N25 76W05 76D07 65N12 65N15 × Cite Format Result Cite Review PDF Full Text: DOI
Du, Zhijie; Duan, Huoyuan; Wang, Can; Zhang, Qiuyu A Bochev-Dohrmann-Gunzburger stabilized method for Maxwell eigenproblem. (English) Zbl 1535.65271 Numer. Methods Partial Differ. Equations 39, No. 5, 3811-3846 (2023). MSC: 65N25 65N30 65N12 65N15 58A12 78A25 78M10 35A15 35Q60 × Cite Format Result Cite Review PDF Full Text: DOI
Inzunza, Daniel; Lepe, Felipe; Rivera, Gonzalo Displacement-pseudostress formulation for the linear elasticity spectral problem. (English) Zbl 07776995 Numer. Methods Partial Differ. Equations 39, No. 3, 1996-2017 (2023). MSC: 65-XX 35-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Shixi; Bi, Hai; Yang, Yidu The a posteriori error estimates and an adaptive algorithm of the FEM for transmission eigenvalues for anisotropic media. (English) Zbl 1538.65556 Comput. Math. Appl. 150, 156-169 (2023). MSC: 65N30 65N25 65N15 35J05 35P15 65N21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Meng, Jian Virtual element method for the modified transmission eigenvalue problem in inverse scattering theory. (English) Zbl 1527.65122 Appl. Numer. Math. 192, 356-372 (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65N25 65N30 65N35 65N50 65N15 35P15 37K15 35J15 × Cite Format Result Cite Review PDF Full Text: DOI
Amigo, Danilo; Lepe, Felipe; Rivera, Gonzalo A virtual element method for the elasticity spectral problem allowing for small edges. (English) Zbl 1526.35137 J. Sci. Comput. 97, No. 3, Paper No. 54, 29 p. (2023). MSC: 35J25 65N15 65N25 65N30 65N12 74B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xie, Jiali; Bi, Hai A multigrid discretization scheme based on the shifted inverse iteration for the Steklov eigenvalue problem in inverse scattering. (English) Zbl 1523.65089 Open Math. 21, Article ID 20220607, 18 p. (2023). MSC: 65N25 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Nie, Daxin; Deng, Weihua An inverse random source problem for the time-space fractional diffusion equation driven by fractional Brownian motion. (English) Zbl 1526.35322 J. Inverse Ill-Posed Probl. 31, No. 5, 723-738 (2023). MSC: 35R30 35R60 35K20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lu, Song; Xu, Xianmin Numerical investigations on trace finite element methods for the Laplace-Beltrami eigenvalue problem. (English) Zbl 1522.65194 J. Sci. Comput. 97, No. 1, Paper No. 12, 31 p. (2023). MSC: 65N25 65N30 65F15 65F22 47A55 15A18 58J50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Yanjun; Yang, Yidu; Bi, Hai The a priori and a posteriori error estimates for modified interior transmission eigenvalue problem in inverse scattering. (English) Zbl 1519.65049 Commun. Comput. Phys. 34, No. 2, 503-529 (2023). MSC: 65N25 65N15 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Xuefeng; Vejchodský, Tomáš Projection-based guaranteed \(L^2\) error bounds for finite element approximations of Laplace eigenfunctions. (English) Zbl 1518.65125 J. Comput. Appl. Math. 429, Article ID 115164, 12 p. (2023). MSC: 65N25 65N30 65N15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Shixi; Bi, Hai; Li, Yanjun; Yang, Yidu The finite element method for modified transmission eigenvalues for inverse scattering in a fluid-solid interaction problem. (English) Zbl 07727139 Appl. Math. Lett. 145, Article ID 108771, 10 p. (2023). MSC: 65Nxx 35Jxx 35Pxx × Cite Format Result Cite Review PDF Full Text: DOI
Qi, Xuesen; Yue, Yunguang; Liu, Ximin Isoperimetric upper bounds and Reilly-type inequalities for the first eigenvalue of the \(p\)-biharmonic operator. (English) Zbl 07723588 J. Math. Res. Appl. 43, No. 4, 487-495 (2023). MSC: 47J10 58C40 53C42 53C40 × Cite Format Result Cite Review PDF Full Text: DOI
Grubišić, Luka; Hiptmair, Ralf; Renner, Diego Detecting near resonances in acoustic scattering. (English) Zbl 1520.35039 J. Sci. Comput. 96, No. 3, Paper No. 81, 24 p. (2023). MSC: 35J05 65N38 65F15 × Cite Format Result Cite Review PDF Full Text: DOI
Meng, Jian Discontinuous Galerkin method for the interior transmission eigenvalue problem in inverse scattering theory. (English) Zbl 1522.65195 J. Sci. Comput. 96, No. 3, Paper No. 66, 24 p. (2023). MSC: 65N25 65N30 65N15 65N12 35A15 35R30 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Shixi; Bi, Hai; Yang, Yidu The mixed discontinuous Galerkin method for transmission eigenvalues for anisotropic medium. (English) Zbl 1522.65196 J. Sci. Comput. 96, No. 1, Paper No. 22, 32 p. (2023). MSC: 65N25 65N30 65N15 37K15 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Zhengfang; Gao, Xiangjing; Cheng, Xiaoliang Numerical estimation of the inverse eigenvalue problem for a weighted Helmholtz equation. (English) Zbl 1545.65417 J. Sci. Comput. 96, No. 1, Paper No. 16, 31 p. (2023). MSC: 65N25 65N21 65N30 65K10 65F10 65N12 35J05 35R09 49J50 49M41 49J35 35A01 35A02 35R30 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Yanjun; Bi, Hai A locking-free discontinuous Galerkin method for linear elastic Steklov eigenvalue problem. (English) Zbl 1545.65415 Appl. Numer. Math. 188, 21-41 (2023). MSC: 65N25 65N30 65N15 35B65 74B10 74S05 35Q74 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yu, Xuhong; Mao, Qingrui Diagonalized Legendre spectral method for second-order eigenvalue problems. (English) Zbl 1538.65481 Comput. Math. Appl. 143, 269-276 (2023). MSC: 65N25 65N35 65N30 35P15 65N15 42C10 65N12 × Cite Format Result Cite Review PDF Full Text: DOI
Feng, Jinhua; Wang, Shixi; Bi, Hai; Yang, Yidu An \(hp\)-mixed discontinuous Galerkin method for the biharmonic eigenvalue problem. (English) Zbl 1545.65414 Appl. Math. Comput. 450, Article ID 127969, 18 p. (2023). MSC: 65N25 65N30 35P15 65N15 × Cite Format Result Cite Review PDF Full Text: DOI
Bertrand, Fleurianne; Boffi, Daniele; Schneider, Henrik Discontinuous Petrov-Galerkin approximation of eigenvalue problems. (English) Zbl 1512.65250 Comput. Methods Appl. Math. 23, No. 1, 1-17 (2023). MSC: 65N25 65N30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gong, Bo; Jiguang, Sun Regular convergence and finite element methods for eigenvalue problems. (English) Zbl 1512.65253 ETNA, Electron. Trans. Numer. Anal. 58, 228-243 (2023). MSC: 65N25 65N30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Lederer, Philip L. Asymptotically exact a posteriori error estimates for the BDM finite element approximation of mixed Laplace eigenvalue problems. (English) Zbl 1542.65148 BIT 63, No. 2, Paper No. 34, 21 p. (2023). Reviewer: Jiguang Sun (Houghton) MSC: 65N25 65N30 65N15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Xuqing; Han, Jiayu Multigrid methods for the modified elastic transmission eigenvalue problem. (English) Zbl 1538.65482 Comput. Math. Appl. 142, 31-47 (2023). MSC: 65N25 35R30 35P25 65N30 35J25 65N55 65N15 65Y05 × Cite Format Result Cite Review PDF Full Text: DOI
Dang, Haikun; Wang, Yifan; Xie, Hehu; Zhou, Chenguang Enhanced error estimates for augmented subspace method. (English) Zbl 1512.65251 J. Sci. Comput. 94, No. 2, Paper No. 40, 24 p. (2023). Reviewer: Marius Ghergu (Dublin) MSC: 65N25 65N30 65N55 65L15 65N12 65N15 65Y05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Qing; Li, Tiexiang; Zhang, Shuo A mixed element scheme for the Helmholtz transmission eigenvalue problem for anisotropic media. (English) Zbl 07682036 Inverse Probl. 39, No. 5, Article ID 055005, 17 p. (2023). MSC: 65-XX 35Rxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Carstensen, Carsten; Puttkammer, Sophie Direct guaranteed lower eigenvalue bounds with optimal a priori convergence rates for the bi-Laplacian. (English) Zbl 1521.65118 SIAM J. Numer. Anal. 61, No. 2, 812-836 (2023). Reviewer: Chandrasekhar Salimath (Bengaluru) MSC: 65N25 65N30 65N15 65N12 65D05 65N50 49J35 31A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xiao, Wenqiang; Gong, Bo; Lin, Junshan; Sun, Jiguang Band structure calculations of dispersive photonic crystals in 3D using holomorphic operator functions. (English) Zbl 1512.35421 Commun. Comput. Phys. 33, No. 2, 628-646 (2023). MSC: 35P30 35Q61 65N25 65N30 78M10 × Cite Format Result Cite Review PDF Full Text: DOI
Lepe, F.; Mora, D.; Rivera, G.; Velásquez, I. A posteriori virtual element method for the acoustic vibration problem. (English) Zbl 1511.65125 Adv. Comput. Math. 49, No. 1, Paper No. 10, 29 p. (2023). MSC: 65N30 65N25 65N15 65N12 76Q05 74F10 74H45 76M10 74S05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Griebel, Michael; Harbrecht, Helmut Analysis of tensor approximation schemes for continuous functions. (English) Zbl 1531.41026 Found. Comput. Math. 23, No. 1, 219-240 (2023). Reviewer: Dmitrii Legatiuk (Erfurt) MSC: 41A46 41A63 46E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bertrand, Fleurianne; Boffi, Daniele; Halim, Abdul A reduced order model for the finite element approximation of eigenvalue problems. (English) Zbl 1536.65135 Comput. Methods Appl. Mech. Eng. 404, Article ID 115696, 26 p. (2023). MSC: 65N30 65N25 65N15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Adak, Dibyendu; Mora, David; Velásquez, Iván A \(C^0\)-nonconforming virtual element methods for the vibration and buckling problems of thin plates. (English) Zbl 1536.74241 Comput. Methods Appl. Mech. Eng. 403, Part B, Article ID 115763, 24 p. (2023). MSC: 74S05 74G60 74K20 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Bahadır, Eylem; Türk, Önder Analytical and numerical assessments of boundary variations in Steklov eigenvalue problems. (English) Zbl 1503.65282 J. Comput. Appl. Math. 422, Article ID 114900, 15 p. (2023). MSC: 65N25 65N30 65N12 65N15 35P15 35J15 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Kaifang; Zhu, Peng Analysis of a weak Galerkin method for second-order elliptic equations with minimal regularity on polytopal meshes. (English) Zbl 1498.65203 J. Comput. Appl. Math. 420, Article ID 114744, 14 p. (2023). MSC: 65N30 35J15 65N25 65N15 35B65 × Cite Format Result Cite Review PDF Full Text: DOI
Dusson, Geneviève; Sigal, Israel Michael; Stamm, Benjamin Analysis of the Feshbach-Schur method for the Fourier spectral discretizations of Schrödinger operators. (English) Zbl 1502.65225 Math. Comput. 92, No. 339, 217-249 (2023). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N35 65N25 65N12 65N15 81Q05 35Q40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Brannick, James; Cao, Shuhao A bootstrap multigrid eigensolver. (English) Zbl 1504.65248 SIAM J. Matrix Anal. Appl. 43, No. 4, 1627-1657 (2022). MSC: 65N25 65N30 65N55 58C40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Boffi, Daniele; Gardini, Francesca; Gastaldi, Lucia Virtual element approximation of eigenvalue problems. (English) Zbl 1503.65287 Antonietti, Paola F. (ed.) et al., The virtual element method and its applications. Cham: Birkhäuser. SEMA SIMAI Springer Ser. 31, 275-320 (2022). MSC: 65N30 65N25 65N50 65N12 65N15 74B05 74H45 76Q05 35Q74 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Li, Yu; Xie, Manting; Xiong, Chunguang A new family of mixed method for the biharmonic eigenvalue problem based on the first order equations of Hellan-Herrmann-Johnson type. (English) Zbl 1504.65261 J. Sci. Comput. 93, No. 3, Paper No. 66, 23 p. (2022). MSC: 65N30 65N25 31A30 74K20 74S05 35Q74 × Cite Format Result Cite Review PDF Full Text: DOI
Qian, Meizhi; Hu, Xindi; Zhu, Shengfeng A phase field method based on multi-level correction for eigenvalue topology optimization. (English) Zbl 1507.74506 Comput. Methods Appl. Mech. Eng. 401, Part B, Article ID 115646, 42 p. (2022). MSC: 74S05 65K10 49Q10 49R05 65N30 74P10 × Cite Format Result Cite Review PDF Full Text: DOI
Meng, Jian; Mei, Liquan Virtual element method for the Helmholtz transmission eigenvalue problem of anisotropic media. (English) Zbl 1497.65216 Math. Models Methods Appl. Sci. 32, No. 8, 1493-1529 (2022). MSC: 65N25 65N30 65N15 × Cite Format Result Cite Review PDF Full Text: DOI
Liang, Qigang; Xu, Xuejun; Yuan, Liuyao A weak Galerkin finite element method can compute both upper and lower eigenvalue bounds. (English) Zbl 1497.65215 J. Sci. Comput. 93, No. 1, Paper No. 19, 21 p. (2022). MSC: 65N25 65N30 35P15 35J15 × Cite Format Result Cite Review PDF Full Text: DOI
Xi, Yingxia; Ji, Xia A holomorphic operator function approach for the transmission eigenvalue problem of elastic waves. (English) Zbl 1495.65204 Commun. Comput. Phys. 32, No. 2, 524-546 (2022). MSC: 65N25 65N30 47B07 × Cite Format Result Cite Review PDF Full Text: DOI
Dassi, Franco; Velásquez, Iván Virtual element method on polyhedral meshes for bi-harmonic eigenvalues problems. (English) Zbl 1524.65785 Comput. Math. Appl. 121, 85-101 (2022). MSC: 65N30 65N25 65N15 65N12 74S05 31A30 74H45 35A15 65N35 × Cite Format Result Cite Review PDF Full Text: DOI
Gong, Bo; Sun, Jiguang; Turner, Tiara; Zheng, Chunxiong Finite element/holomorphic operator function method for the transmission eigenvalue problem. (English) Zbl 1496.35449 Math. Comput. 91, No. 338, 2517-2537 (2022). MSC: 35R30 35P25 65N21 65N30 78A46 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Yanjun; Han, Jiayu; Yang, Yidu; Bi, Hai The a priori and a posteriori error estimates of Crouzeix-Raviart element for the fluid-solid vibration problem. (English) Zbl 1513.65456 Int. J. Comput. Math. 99, No. 10, 1968-1988 (2022). MSC: 65N25 65N30 74F10 74H45 35B45 65N15 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Xuefeng; Vejchodský, Tomáš Fully computable a posteriori error bounds for eigenfunctions. (English) Zbl 1496.65204 Numer. Math. 152, No. 1, 183-221 (2022). MSC: 65N25 65N30 65N15 65F15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xu, Fei; Huang, Qiumei; Dai, Haishen; Ma, Hongkun Multilevel local defect-correction method for nonsymmetric eigenvalue problems. (English) Zbl 1502.65183 J. Sci. Comput. 92, No. 3, Paper No. 85, 26 p. (2022). MSC: 65N25 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Fei; Xie, Manting; Huang, Qiumei; Yue, Meiling; Ma, Hongkun Convergence and optimality of adaptive multigrid method for multiple eigenvalue problems. (English) Zbl 1492.65294 J. Comput. Appl. Math. 415, Article ID 114450, 20 p. (2022). MSC: 65N25 65N30 65N55 35J61 65N12 65N15 × Cite Format Result Cite Review PDF Full Text: DOI
Alzaben, Linda; Bertrand, Fleurianne; Boffi, Daniele On the spectrum of an operator associated with least-squares finite elements for linear elasticity. (English) Zbl 1492.65292 Comput. Methods Appl. Math. 22, No. 3, 511-528 (2022). MSC: 65N25 74B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
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 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Lixiu; Zhang, Qian; Sun, Jiguang; Zhang, Zhimin A priori and a posteriori error estimates for the quad-curl eigenvalue problem. (English) Zbl 1490.65256 ESAIM, Math. Model. Numer. Anal. 56, No. 3, 1027-1051 (2022). MSC: 65N25 65N15 65N30 76W05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Baiju; Li, Hengguang; Zhang, Zhimin Solving biharmonic eigenvalue problem with Navier boundary condition via Poisson solvers on non-convex domains. (English) Zbl 1490.65258 J. Sci. Comput. 92, No. 1, Paper No. 24, 20 p. (2022). MSC: 65N25 35J40 65N12 65N30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Reusken, Arnold Analysis of finite element methods for surface vector-Laplace eigenproblems. (English) Zbl 1492.65329 Math. Comput. 91, No. 336, 1587-1623 (2022). MSC: 65N30 65N25 65N12 65N15 35A15 35J05 76D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Beilei; Chen, Huajie; Dusson, Geneviève; Fang, Jun; Gao, Xingyu An adaptive planewave method for electronic structure calculations. (English) Zbl 1487.65175 Multiscale Model. Simul. 20, No. 1, 524-550 (2022). MSC: 65N25 65N35 65N15 35Q40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Khelifi, Abdessatar; Jaouabi, Ahlem On the asymptotic formulas for perturbations in the eigenvalues of the Stokes equations due to the presence of small deformable inclusions. (English) Zbl 1491.35299 J. Appl. Anal. 28, No. 1, 149-164 (2022). MSC: 35P15 35B25 35B40 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Harris, Isaac Dirichlet spectral-Galerkin approximation method for the simply supported vibrating plate eigenvalues. (English) Zbl 1491.35164 SN Partial Differ. Equ. Appl. 3, No. 3, Paper No. 34, 16 p. (2022). MSC: 35J30 65N30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cockburn, Bernardo; Xia, Shiqiang An adjoint-based super-convergent Galerkin approximation of eigenvalues. (English) Zbl 07524805 J. Comput. Phys. 449, Article ID 110816, 21 p. (2022). MSC: 65Nxx 65Mxx 35Jxx × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Tan, Ting; Cao, Waixiang; An, Jing Spectral approximation based on a mixed scheme and its error estimates for transmission eigenvalue problems. (English) Zbl 1524.35772 Comput. Math. Appl. 111, 20-33 (2022). MSC: 35R30 78A46 65N25 35P25 35Q60 × Cite Format Result Cite Review PDF Full Text: DOI
Meng, Jian; Wang, Xue; Bu, Linlin; Mei, Liquan A lowest-order free-stabilization virtual element method for the Laplacian eigenvalue problem. (English) Zbl 1490.65255 J. Comput. Appl. Math. 410, Article ID 114013, 11 p. (2022). MSC: 65N25 65N30 65N15 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Yanjun; Bi, Hai; Yang, Yidu The a priori and a posteriori error estimates of DG method for the Steklov eigenvalue problem in inverse scattering. (English) Zbl 1490.65254 J. Sci. Comput. 91, No. 1, Paper No. 20, 32 p. (2022). MSC: 65N25 65N30 65N15 × Cite Format Result Cite Review PDF Full Text: DOI