A \(C^0 \mathrm{IPG}\) method and its error estimates for the Helmholtz transmission eigenvalue problem
type: Item
instance of: scholarly article
title: A \(C^0 \mathrm{IPG}\) method and its error estimates for the Helmholtz transmission eigenvalue problem
zbMATH Open document ID: 1370.65068
author: Yidu Yang
author: Hai Bi
author: Hao Li
author: Jiayu Han
published in: Journal of Computational and Applied Mathematics
publication date: 2017-08-01T00:00:00Z
Mathematics Subject Classification ID: 65N25
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 35P15
Mathematics Subject Classification ID: 78A46
Mathematics Subject Classification ID: 78M10
zbMATH DE Number: 6755380
zbMATH Keywords: transmission eigenvalues
zbMATH Keywords: fourth-order eigenvalue problem
zbMATH Keywords: interior penalty method
zbMATH Keywords: \(C^0\) Lagrange elements
zbMATH Keywords: error estimates
zbMATH Keywords: fourth-order problems
zbMATH Keywords: Helmholtz
zbMATH Keywords: inverse scattering
zbMATH Keywords: numerical example
describes a project that uses: Algorithm 922
describes a project that uses: iFEM
MaRDI profile type: Publication
full work available at URL: j.cam.2017.04.024
OpenAlex ID: W2607765999
cites work: Transmission eigenvalues and the nondestructive testing of dielectrics
cites work: The Existence of an Infinite Discrete Set of Transmission Eigenvalues
cites work: Estimation of transmission eigenvalues and the index of refraction from Cauchy data
cites work: Inverse acoustic and electromagnetic scattering theory.
cites work: On the existence of transmission eigenvalues in an inhomogeneous medium
cites work: Analytical and computational methods for transmission eigenvalues
cites work: Spectral approximation to a transmission eigenvalue problem and its applications to an inverse problem
cites work: Error analysis for the finite element approximation of transmission eigenvalues
cites work: \(C^0\)IP methods for the transmission eigenvalue problem
cites work: Algorithm 922
cites work: A multigrid method for Helmholtz transmission eigenvalue problems
cites work: Finite element methods for Maxwell's transmission eigenvalues
cites work: Iterative Methods for Transmission Eigenvalues
cites work: Computation of Maxwell’s transmission eigenvalues and its applications in inverse medium problems
cites work: Mixed methods for the Helmholtz transmission eigenvalues
cites work: Non-conforming finite element methods for transmission eigenvalue problem
cites work: A computational method for the inverse transmission eigenvalue problem
cites work: Recursive integral method for transmission eigenvalues
cites work: A spectral projection method for transmission eigenvalues
cites work: Q1858456
cites work: C 0 Interior Penalty Methods
cites work: \(C^0\) interior penalty methods for fourth order elliptic boundary value problems on polygonal domains
cites work: A new error analysis for discontinuous finite element methods for linear elliptic problems
cites work: Optimal penalty parameter for \(C^0\) IPDG
cites work: A \(C^0\) discontinuous Galerkin formulation for Kirchhoff plates
cites work: Q3126801
cites work: Q4531674
cites work: Q3126804
cites work: Q4104278
cites work: The Interior Transmission Problem and Inverse Scattering from Inhomogeneous Media
cites work: On the boundary value problem of the biharmonic operator on domains with angular corners
cites work: On the determination of higher order terms of singular elastic stress fields near corners
cites work: Spectral Methods
cites work: Q5336643
DOI: 10.1016/J.CAM.2017.04.024
description: scientific article; zbMATH DE number 6755380