Discontinuous Galerkin Methods for Solving Two Membranes Problem

DOI10.1080/01630563.2012.716805zbMath1416.65466OpenAlexW2042409248MaRDI QIDQ4912750

Fei Wang

Publication date: 5 April 2013

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2012.716805

zbMATH Keywords

discontinuous Galerkin methodfree boundarya priori error analysistwo membranes problem

Mathematics Subject Classification ID

Variational inequalities (49J40) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for variational inequalities and related problems (65K15)

Related Items

Discontinuous Galerkin Methods for Solving a Frictional Contact Problem with Normal Compliance, Path-following and semismooth Newton methods for the variational inequality arising from two membranes problem

Cites Work

• Unnamed Item
• Unnamed Item
• A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
• A discontinuous \(hp\) finite element method for convection-diffusion problems
• An \(hp\)-analysis of the local discontinuous Galerkin method for diffusion problems
• On the quadratic finite element approximation to the obstacle problem
• Analysis of the discontinuous Galerkin method for Hamilton-Jacobi equations
• Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. I
• Optimal a priori error estimates for the $hp$-version of the local discontinuous Galerkin method for convection--diffusion problems
• Discontinuous Galerkin Methods for Solving Elliptic Variational Inequalities
• Discrete-Ordinate Discontinuous Galerkin Methods for Solving the Radiative Transfer Equation
• Discontinuous Galerkin methods for solving the Signorini problem
• The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
• Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
• A locally conservative LDG method for the incompressible Navier-Stokes equations
• The Two Membranes Problem
• A Discontinuous Galerkin Finite Element Method for Hamilton--Jacobi Equations
• Nonconforming Elements in the Finite Element Method with Penalty