Dominesey, Kurt A.; Ji, Wei Reduced-order modeling of neutron transport eigenvalue problems separated in energy by proper generalized decomposition. (English) Zbl 07788140 J. Comput. Phys. 486, Article ID 112137, 20 p. (2023). MSC: 65Mxx 65Fxx 65Nxx PDFBibTeX XMLCite \textit{K. A. Dominesey} and \textit{W. Ji}, J. Comput. Phys. 486, Article ID 112137, 20 p. (2023; Zbl 07788140) Full Text: DOI
Hagstrom, Thomas; Kim, Seungil Complete radiation boundary conditions for the Helmholtz equation. II: Domains with corners. (English) Zbl 1519.65054 Numer. Math. 153, No. 4, 775-825 (2023). Reviewer: Murli Gupta (Washington, D.C.) MSC: 65N30 65N12 65N15 74J20 78A45 78A50 78A40 35B40 35P20 35J05 35A01 35A02 33E05 PDFBibTeX XMLCite \textit{T. Hagstrom} and \textit{S. Kim}, Numer. Math. 153, No. 4, 775--825 (2023; Zbl 1519.65054) Full Text: DOI
Kosin, V.; Beuchler, S.; Wick, T. A new mixed method for the biharmonic eigenvalue problem. (English) Zbl 07674309 Comput. Math. Appl. 136, 44-53 (2023). MSC: 65N25 65N30 PDFBibTeX XMLCite \textit{V. Kosin} et al., Comput. Math. Appl. 136, 44--53 (2023; Zbl 07674309) Full Text: DOI
Giani, Stefano; Grubišić, Luka; Heltai, Luca; Mulita, Ornela Smoothed-adaptive perturbed inverse iteration for elliptic eigenvalue problems. (English) Zbl 1475.65179 Comput. Methods Appl. Math. 21, No. 2, 385-405 (2021). MSC: 65N25 65N30 65N50 PDFBibTeX XMLCite \textit{S. Giani} et al., Comput. Methods Appl. Math. 21, No. 2, 385--405 (2021; Zbl 1475.65179) Full Text: DOI arXiv
Araujo C., Juan C.; Campos, Carmen; Engström, Christian; Roman, Jose E. Computation of scattering resonances in absorptive and dispersive media with applications to metal-dielectric nano-structures. (English) Zbl 07504696 J. Comput. Phys. 407, Article ID 109220, 24 p. (2020). MSC: 78-XX 82-XX PDFBibTeX XMLCite \textit{J. C. Araujo C.} et al., J. Comput. Phys. 407, Article ID 109220, 24 p. (2020; Zbl 07504696) Full Text: DOI arXiv Link
Vidal-Ferràndiz, A.; Carreño, A.; Ginestar, D.; Verdú, G. A block Arnoldi method for the \(SP_N\) equations. (English) Zbl 1480.65346 Int. J. Comput. Math. 97, No. 1-2, 341-357 (2020). MSC: 65N30 65N25 35J47 PDFBibTeX XMLCite \textit{A. Vidal-Ferràndiz} et al., Int. J. Comput. Math. 97, No. 1--2, 341--357 (2020; Zbl 1480.65346) Full Text: DOI
Gedicke, Joscha; Khan, Arbaz Divergence-conforming discontinuous Galerkin finite elements for Stokes eigenvalue problems. (English) Zbl 1455.65204 Numer. Math. 144, No. 3, 585-614 (2020). Reviewer: Wei Gong (Beijing) MSC: 65N30 65N15 65N25 PDFBibTeX XMLCite \textit{J. Gedicke} and \textit{A. Khan}, Numer. Math. 144, No. 3, 585--614 (2020; Zbl 1455.65204) Full Text: DOI arXiv
Maday, Yvon; Marcati, Carlo Regularity and \(hp\) discontinuous Galerkin finite element approximation of linear elliptic eigenvalue problems with singular potentials. (English) Zbl 1431.65209 Math. Models Methods Appl. Sci. 29, No. 8, 1585-1617 (2019). MSC: 65N25 35J10 65N30 65N12 35B65 65F15 65F05 65F08 35P10 PDFBibTeX XMLCite \textit{Y. Maday} and \textit{C. Marcati}, Math. Models Methods Appl. Sci. 29, No. 8, 1585--1617 (2019; Zbl 1431.65209) Full Text: DOI arXiv
Bonito, Andrea; Demlow, Alan; Owen, Justin A priori error estimates for finite element approximations to eigenvalues and eigenfunctions of the Laplace-Beltrami operator. (English) Zbl 1456.65144 SIAM J. Numer. Anal. 56, No. 5, 2963-2988 (2018). MSC: 65N25 65N12 65N15 65N30 PDFBibTeX XMLCite \textit{A. Bonito} et al., SIAM J. Numer. Anal. 56, No. 5, 2963--2988 (2018; Zbl 1456.65144) Full Text: DOI arXiv
Murphy, Laura; Venkataraman, Chandrasekhar; Madzvamuse, Anotida Parameter identification through mode isolation for reaction-diffusion systems on arbitrary geometries. (English) Zbl 1390.35140 Int. J. Biomath. 11, No. 4, Article ID 1850053, 30 p. (2018). MSC: 35K55 37C75 65M60 PDFBibTeX XMLCite \textit{L. Murphy} et al., Int. J. Biomath. 11, No. 4, Article ID 1850053, 30 p. (2018; Zbl 1390.35140) Full Text: DOI arXiv
Araujo-Cabarcas, Juan Carlos; Engström, Christian; Jarlebring, Elias Efficient resonance computations for Helmholtz problems based on a Dirichlet-to-Neumann map. (English) Zbl 1376.65142 J. Comput. Appl. Math. 330, 177-192 (2018). MSC: 65N25 35P30 35J05 78A45 78M10 35N30 65N12 PDFBibTeX XMLCite \textit{J. C. Araujo-Cabarcas} et al., J. Comput. Appl. Math. 330, 177--192 (2018; Zbl 1376.65142) Full Text: DOI arXiv
Araujo-Cabarcas, Juan Carlos; Engström, Christian On spurious solutions in finite element approximations of resonances in open systems. (English) Zbl 1398.65189 Comput. Math. Appl. 74, No. 10, 2385-2402 (2017). MSC: 65L60 76Q05 PDFBibTeX XMLCite \textit{J. C. Araujo-Cabarcas} and \textit{C. Engström}, Comput. Math. Appl. 74, No. 10, 2385--2402 (2017; Zbl 1398.65189) Full Text: DOI arXiv
Carreño, A.; Vidal-Ferrándiz, A.; Ginestar, D.; Verdú, G. Multilevel method to compute the lambda modes of the neutron diffusion equation. (English) Zbl 1376.65047 Appl. Math. Nonlinear Sci. 2, No. 1, 225-236 (2017). MSC: 65F15 65N30 PDFBibTeX XMLCite \textit{A. Carreño} et al., Appl. Math. Nonlinear Sci. 2, No. 1, 225--236 (2017; Zbl 1376.65047) Full Text: DOI
Vidal-Ferràndiz, A.; González-Pintor, S.; Ginestar, D.; Verdú, G.; Demazière, C. Schwarz type preconditioners for the neutron diffusion equation. (English) Zbl 1468.65180 J. Comput. Appl. Math. 309, 563-574 (2017). MSC: 65N25 65N30 65N55 82D75 PDFBibTeX XMLCite \textit{A. Vidal-Ferràndiz} et al., J. Comput. Appl. Math. 309, 563--574 (2017; Zbl 1468.65180) Full Text: DOI
Davydov, Denis; Young, Toby D.; Steinmann, Paul On the adaptive finite element analysis of the Kohn-Sham equations: methods, algorithms, and implementation. (English) Zbl 1352.65460 Int. J. Numer. Methods Eng. 106, No. 11, 863-888 (2016). MSC: 65N25 65N30 PDFBibTeX XMLCite \textit{D. Davydov} et al., Int. J. Numer. Methods Eng. 106, No. 11, 863--888 (2016; Zbl 1352.65460) Full Text: DOI
Bonito, Andrea; Demlow, Alan Convergence and optimality of higher-order adaptive finite element methods for eigenvalue clusters. (English) Zbl 1346.65058 SIAM J. Numer. Anal. 54, No. 4, 2379-2388 (2016). MSC: 65N25 65N12 65N15 65N30 35P15 PDFBibTeX XMLCite \textit{A. Bonito} and \textit{A. Demlow}, SIAM J. Numer. Anal. 54, No. 4, 2379--2388 (2016; Zbl 1346.65058) Full Text: DOI arXiv
Bonito, Andrea; Glowinski, Roland On the nodal set of the eigenfunctions of the Laplace-Beltrami operator for bounded surfaces in \(\mathbb R^3\): a computational approach. (English) Zbl 1304.65244 Commun. Pure Appl. Anal. 13, No. 5, 2115-2126 (2014). MSC: 65N25 35P15 65N30 58J05 PDFBibTeX XMLCite \textit{A. Bonito} and \textit{R. Glowinski}, Commun. Pure Appl. Anal. 13, No. 5, 2115--2126 (2014; Zbl 1304.65244) Full Text: DOI
Kim, Seungil Cartesian PML approximation to resonances in open systems in \(\mathbb{R}^2\). (English) Zbl 1291.65333 Appl. Numer. Math. 81, 50-75 (2014). MSC: 65N25 35P15 35J05 PDFBibTeX XMLCite \textit{S. Kim}, Appl. Numer. Math. 81, 50--75 (2014; Zbl 1291.65333) Full Text: DOI
Willems, Joerg Robust multilevel methods for general symmetric positive definite operators. (English) Zbl 1303.65094 SIAM J. Numer. Anal. 52, No. 1, 103-124 (2014). Reviewer: Jan Mandel (Denver) MSC: 65N25 65N55 65N15 35P15 65N12 PDFBibTeX XMLCite \textit{J. Willems}, SIAM J. Numer. Anal. 52, No. 1, 103--124 (2014; Zbl 1303.65094) Full Text: DOI Link
Fang, Jun; Gao, Xingyu; Zhou, Aihui A finite element recovery approach to eigenvalue approximations with applications to electronic structure calculations. (English) Zbl 1272.65086 J. Sci. Comput. 55, No. 2, 432-454 (2013). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65N25 35P15 65N30 PDFBibTeX XMLCite \textit{J. Fang} et al., J. Sci. Comput. 55, No. 2, 432--454 (2013; Zbl 1272.65086) Full Text: DOI
Kim, Seungil; Pasciak, Joseph E. The computation of resonances in open systems using a perfectly matched layer. (English) Zbl 1198.65224 Math. Comput. 78, No. 267, 1375-1398 (2009). MSC: 65N30 78M10 PDFBibTeX XMLCite \textit{S. Kim} and \textit{J. E. Pasciak}, Math. Comput. 78, No. 267, 1375--1398 (2009; Zbl 1198.65224) Full Text: DOI
Bangerth, Wolfgang; Rannacher, Rolf Adaptive finite element methods for differential equations. (English) Zbl 1020.65058 Lectures in Mathematics, ETH Zürich. Basel: Birkhäuser. viii, 207 p. EUR 22.00/net; sFr 35.00 (2003). Reviewer: Christian Grossmann (Dresden) MSC: 65M15 65M60 65L60 49M15 65L70 65K10 49J15 49J20 65-02 65N15 65N30 PDFBibTeX XMLCite \textit{W. Bangerth} and \textit{R. Rannacher}, Adaptive finite element methods for differential equations. Basel: Birkhäuser (2003; Zbl 1020.65058)