The a priori and a posteriori error estimates of DG method for the Steklov eigenvalue problem in inverse scattering
type: Item
instance of: scholarly article
title: The a priori and a posteriori error estimates of DG method for the Steklov eigenvalue problem in inverse scattering
zbMATH Open document ID: 1490.65254
author: Yanjun Li
author: Hai Bi
author: Yidu Yang
published in: Journal of Scientific Computing
publication date: 2022-03-14T00:00:00Z
Mathematics Subject Classification ID: 65N25
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N15
zbMATH DE Number: 7488730
zbMATH Keywords: Steklov eigenvalue
zbMATH Keywords: discontinuous Galerkin method
zbMATH Keywords: a priori error estimate
zbMATH Keywords: a posteriori error estimate
zbMATH Keywords: adaptive algorithm
describes a project that uses: iFEM
MaRDI profile type: Publication
full work available at URL: s10915-022-01787-x
OpenAlex ID: W4214902906
cites work: Stekloff eigenvalues in inverse scattering
cites work: Spectral indicator method for a non-selfadjoint Steklov eigenvalue problem
cites work: Two-grid discretizations and a local finite element scheme for a non-selfadjoint Stekloff eigenvalue problem
cites work: A multigrid correction scheme for a new Steklov eigenvalue problem in inverse scattering
cites work: Non-conforming Crouzeix-Raviart element approximation for Stekloff eigenvalues in inverse scattering
cites work: Discontinuous Galerkin methods of the non-selfadjoint Steklov eigenvalue problem in inverse scattering
cites work: Q5756148
cites work: Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
cites work: Discrete functional analysis tools for Discontinuous Galerkin methods with application to the incompressible Navier–Stokes equations
cites work: hp-Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes
cites work: Mathematical aspects of discontinuous Galerkin methods.
cites work: A posteriori discontinuous Galerkin error estimates for transient convection-diffusion equations
cites work: Discontinuous Galerkin approximation of the Laplace eigenproblem
cites work: A posteriori error estimates for a discontinuous Galerkin approximation of Steklov eigenvalue problems.
cites work: A priori and a posteriori error analysis for discontinuous Galerkin finite element approximations of biharmonic eigenvalue problems
cites work: Discontinuous Galerkin Approximation of the Maxwell Eigenproblem
cites work: Discontinuous Galerkin computation of the Maxwell eigenvalues on simplicial meshes
cites work: Discontinuous Galerkin methods for second-order elliptic PDE with low-regularity solutions
cites work: Finite Elements II
cites work: Poincaré--Friedrichs Inequalities for Piecewise H1 Functions
cites work: A Posteriori Error Estimates for a Discontinuous Galerkin Approximation of Second-Order Elliptic Problems
cites work: Q4500701
cites work: The $hp$-local discontinuous Galerkin method for low-frequency time-harmonic Maxwell equations
cites work: ENERGY NORM A POSTERIORI ERROR ESTIMATION OF hp-ADAPTIVE DISCONTINUOUS GALERKIN METHODS FOR ELLIPTIC PROBLEMS
cites work: Q2550279
cites work: A discontinuous \(hp\) finite element method for diffusion problems
cites work: Discontinuous Galerkin Finite Element Methods for Interface Problems: A Priori and A Posteriori Error Estimations
cites work: Error indicators for the mortar finite element discretization of the Laplace equation
cites work: Finite element approximation of the Navier-Stokes equations. Rev. repr. of the 1st ed
cites work: Regularity results for elliptic equations in Lipschitz domains
cites work: Convergence and quasi-optimality of adaptive FEM for Steklov eigenvalue problems
cites work: Q4023365
cites work: Q5336643
cites work: Q3126801
cites work: Q4144698
cites work: Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
cites work: Q4886148
cites work: Can We Have Superconvergent Gradient Recovery Under Adaptive Meshes?
cites work: A type of adaptive \(C^0\) non-conforming finite element method for the Helmholtz transmission eigenvalue problem
DOI: 10.1007/S10915-022-01787-X
description: scientific article; zbMATH DE number 7488730