SoftFEM: revisiting the spectral finite element approximation of second-order elliptic operators

DOI10.1016/j.camwa.2021.09.011zbMath1486.65245arXiv2011.06953OpenAlexW3206567433MaRDI QIDQ2239096

Alexandre Ern, Quanling Deng

Publication date: 2 November 2021

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.06953

zbMATH Keywords

eigenvaluesLaplacianstiffnessspectral approximationfinite element method (FEM)gradient-jump penalty

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical computation of matrix norms, conditioning, scaling (65F35) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items

SoftIGA: soft isogeometric analysis ⋮ Dispersion Analysis of CIP-FEM for the Helmholtz Equation ⋮ Radial basis function neural network (RBFNN) approximation of Cauchy inverse problems of the Laplace equation ⋮ Asymptotic Dispersion Correction in General Finite Difference Schemes for Helmholtz Problems ⋮ A generalized isogeometric analysis of elliptic eigenvalue and source problems with an interface

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