A two-grid discretization scheme of non-conforming finite elements for transmission eigenvalues

DOI10.1016/j.camwa.2017.09.032zbMath1409.65099OpenAlexW2765933355MaRDI QIDQ1732334

Yu Zhang, Shixi Wang, Yidu Yang, Hai Bi

Publication date: 25 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2017.09.032

zbMATH Keywords

error estimatesnon-conforming finite elementstransmission eigenvaluestwo-grid discretization

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items

A type of adaptive \(C^0\) non-conforming finite element method for the Helmholtz transmission eigenvalue problem ⋮ On trajectories of complex-valued interior transmission eigenvalues

Uses Software

• iFEM
• Algorithm 922

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A spectral projection method for transmission eigenvalues
• A multigrid method for Helmholtz transmission eigenvalue problems
• Error analysis for the finite element approximation of transmission eigenvalues
• A new class of Zienkiewicz-type non-conforming element in any dimensions
• Inverse acoustic and electromagnetic scattering theory.
• A new multigrid finite element method for the transmission eigenvalue problems
• Spectral approximation to a transmission eigenvalue problem and its applications to an inverse problem
• Non-conforming finite element methods for transmission eigenvalue problem
• A two-level method for nonsymmetric eigenvalue problems
• Mixed Methods for the Helmholtz Transmission Eigenvalues
• Finite element approximation of eigenvalue problems
• Finite Element Methods for Maxwell's Transmission Eigenvalues
• Two-Grid Methods for Maxwell Eigenvalue Problems
• Algorithm 922
• Estimation of transmission eigenvalues and the index of refraction from Cauchy data
• The Existence of an Infinite Discrete Set of Transmission Eigenvalues
• Iterative Methods for Transmission Eigenvalues
• The Shifted-Inverse Iteration Based on the Multigrid Discretizations for Eigenvalue Problems
• Transmission eigenvalues and the nondestructive testing of dielectrics
• Analytical and computational methods for transmission eigenvalues
• Three-Scale Finite Element Discretizations for Quantum Eigenvalue Problems
• A New Class of Iterative Methods for Nonselfadjoint or Indefinite Problems
• A two-grid discretization scheme for eigenvalue problems
• Two-Sided Arnoldi and Nonsymmetric Lanczos Algorithms
• Computation of Maxwell’s transmission eigenvalues and its applications in inverse medium problems

This page was built for publication: A two-grid discretization scheme of non-conforming finite elements for transmission eigenvalues