Conforming and discontinuous Galerkin FEM in space for solving parabolic obstacle problem

DOI10.1016/j.camwa.2019.06.022zbMath1443.65203OpenAlexW2949934570WikidataQ127635203 ScholiaQ127635203MaRDI QIDQ2004447

Thirupathi Gudi, Papri Majumder

Publication date: 7 October 2020

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2019.06.022

zbMATH Keywords

finite elementdiscontinuous Galerkin methodparabolic obstacle problem

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (4)

Application of discontinuous Galerkin method in supersonic and hypersonic gas flows ⋮ Unified error analysis of discontinuous Galerkin methods for parabolic obstacle problem. ⋮ Crouzeix-Raviart finite element approximation for the parabolic obstacle problem ⋮ Convergence analysis of a symmetric dual-wind discontinuous Galerkin method for a parabolic variational inequality

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(hp\)-adaptive IPDG/TDG-FEM for parabolic obstacle problems
• A weakly over-penalized symmetric interior penalty method
• An \(L^ 2\)-error estimate for an approximation of the solution of a parabolic variational inequality
• Inhomogeneous Dirichlet boundary condition in the \textit{a posteriori} error control of the obstacle problem
• \(L^{\infty}\)-error estimate for an approximation of a parabolic variational inequality
• Residual type a posteriori error estimates for elliptic obstacle problems
• Convergence analysis of finite element method for a parabolic obstacle problem
• Problèmes unilateraux
• An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems
• Superconvergence of the Local Discontinuous Galerkin Method for Elliptic Problems on Cartesian Grids
• An OptimalL^∞–error Estimate for an Approximation of a Parabolic Variational Inequality
• Finite Element Approximation of the Parabolic Fractional Obstacle Problem
• A posteriori error control of discontinuous Galerkin methods for elliptic obstacle problems
• A Priori Error Estimates for a Single-Phase Quasilinear Stefan Problem in one Space Dimension
• A posteriorierror analysis for parabolic variational inequalities
• An Interior Penalty Finite Element Method with Discontinuous Elements
• A Convergence Estimate for an Approximation of a Parabolic Variational Inequality
• An Error Estimate for the Truncation Method for the Solution of Parabolic Obstacle Variational Inequalities
• An Elliptic Collocation-Finite Element Method with Interior Penalties
• Error control of nonlinear evolution equations
• The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
• The Primal-Dual Active Set Strategy as a Semismooth Newton Method
• A posteriori error estimates for variable time-step discretizations of nonlinear evolution equations
• An Introduction to Variational Inequalities and Their Applications
• Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
• Error Analysis for Implicit Approximations to Solutions to Cauchy Problems
• Numerical solution for a parabolic obstacle problem with nonsmooth initial data
• Galerkin Finite Element Methods for Parabolic Problems
• Variational inequalities
• Nonconforming Elements in the Finite Element Method with Penalty
• PARTIAL DIFFERENTIAL INEQUALITIES

This page was built for publication: Conforming and discontinuous Galerkin FEM in space for solving parabolic obstacle problem