Unified error analysis of discontinuous Galerkin methods for parabolic obstacle problem.
type: Item
instance of: scholarly article
title: Unified error analysis of discontinuous Galerkin methods for parabolic obstacle problem.
DOI: 10.21136/AM.2021.0030-20
author: Papri Majumder
published in: Applications of Mathematics
publication date: 2021-09-16T00:00:00Z
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N15
zbMATH DE Number: 7396173
zbMATH Keywords: finite element
zbMATH Keywords: discontinuous Galerkin method
zbMATH Keywords: parabolic obstacle problem
MaRDI profile type: Publication
cites work: An Interior Penalty Finite Element Method with Discontinuous Elements
cites work: Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
cites work: Nonconforming Elements in the Finite Element Method with Penalty
cites work: \(hp\)-adaptive IPDG/TDG-FEM for parabolic obstacle problems
cites work: An Error Estimate for the Truncation Method for the Solution of Parabolic Obstacle Variational Inequalities
cites work: A weakly over-penalized symmetric interior penalty method
cites work: Problèmes unilateraux
cites work: Q5665783
cites work: Q4500701
cites work: An a priori error analysis of the local discontinuous Galerkin method for elliptic problems
cites work: Theory of the space-time discontinuous Galerkin method for nonstationary parabolic problems with nonlinear convection and diffusion
cites work: Residual type a posteriori error estimates for elliptic obstacle problems
cites work: Q4162607
cites work: Superconvergence of the local discontinuous Galerkin method for elliptic problems on Cartesian grids
cites work: The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
cites work: \(L^{\infty}\)-error estimate for an approximation of a parabolic variational inequality
cites work: A discontinuous Galerkin method with nonoverlapping domain decomposition for the Stokes and Navier-Stokes problems
cites work: Q3914338
cites work: Conforming and discontinuous Galerkin FEM in space for solving parabolic obstacle problem
cites work: Convergence analysis of finite element method for a parabolic obstacle problem
cites work: Crouzeix-Raviart finite element approximation for the parabolic obstacle problem
cites work: \(hp\)-discontinuous Galerkin methods for strongly nonlinear elliptic boundary value problems
cites work: A posteriori error control of discontinuous Galerkin methods for elliptic obstacle problems
cites work: The Primal-Dual Active Set Strategy as a Semismooth Newton Method
cites work: DG method for pricing European options under Merton jump-diffusion model.
cites work: A Convergence Estimate for an Approximation of a Parabolic Variational Inequality
cites work: An Introduction to Variational Inequalities and Their Applications
cites work: PARTIAL DIFFERENTIAL INEQUALITIES
cites work: Variational inequalities
cites work: A posteriorierror analysis for parabolic variational inequalities
cites work: Error control of nonlinear evolution equations
cites work: A posteriori error estimates for variable time-step discretizations of nonlinear evolution equations
cites work: Finite element approximation of the parabolic fractional obstacle problem
cites work: A Priori Error Estimates for a Single-Phase Quasilinear Stefan Problem in one Space Dimension
cites work: Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
cites work: A Priori Error Estimates for Finite Element Methods Based on Discontinuous Approximation Spaces for Elliptic Problems
cites work: Error Analysis for Implicit Approximations to Solutions to Cauchy Problems
cites work: Q4715320
cites work: Galerkin Finite Element Methods for Parabolic Problems
cites work: An \(L^ 2\)-error estimate for an approximation of the solution of a parabolic variational inequality
cites work: An Elliptic Collocation-Finite Element Method with Interior Penalties
cites work: Numerical solution for a parabolic obstacle problem with nonsmooth initial data
description: scientific article; zbMATH DE number 7396173