Superconvergence error estimate of Galerkin method for Sobolev equation with Burgers' type nonlinearity
type: Item
instance of: scholarly article
title: Superconvergence error estimate of Galerkin method for Sobolev equation with Burgers' type nonlinearity
zbMATH Open document ID: 1478.65092
author: Huaijun Yang
published in: Applied Numerical Mathematics
publication date: 2021-07-15T00:00:00Z
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 7371856
zbMATH Keywords: Sobolev equation with Burgers' nonlinearity
zbMATH Keywords: implicit Euler scheme
zbMATH Keywords: superconvergence error estimate
MaRDI profile type: Publication
full work available at URL: j.apnum.2021.05.018
OpenAlex ID: W3165025990
cites work: Q5318420
cites work: Superconvergence of a Finite Element Approximation to the Solution of a Sobolev Equation in a Single Space Variable
cites work: Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata]
cites work: Q4531674
cites work: Two-grid finite element methods combined with Crank-Nicolson scheme for nonlinear Sobolev equations
cites work: Numerical schemes for a pseudo-parabolic Burgers equation: Discontinuous data and long-time behaviour
cites work: Numerical Solution of Sobolev Partial Differential Equations
cites work: Time-Stepping Galerkin Methods for Nonlinear Sobolev Partial Differential Equations
cites work: A class of pseudo-parabolic equations: existence, uniqueness of weak solutions, and error estimates for the Euler-implicit discretization
cites work: A Modified Weak Galerkin Finite Element Method for Sobolev Equation
cites work: Q3994949
cites work: An expanded mixed finite element method for two-dimensional Sobolev equations
cites work: Galerkin methods for nonlinear Sobolev equations
cites work: Finite element methods for nonlinear Sobolev equations with nonlinear boundary conditions
cites work: Error estimates of a Galerkin method for some nonlinear Sobolev equations in one space dimension
cites work: Optimal error estimates for semidiscrete Galerkin approximations to multi-dimensional Sobolev equations with Burgers' type nonlinearity
cites work: Optimal error estimates for semidiscrete Galerkin approximations to equations of motion described by Kelvin-Voigt viscoelastic fluid flow model
cites work: Finite element Galerkin method for 2D Sobolev equations with Burgers' type nonlinearity
cites work: Finite element <scp>G</scp>alerkin approximations to a class of nonlinear and nonlocal parabolic problems
cites work: High accuracy analysis of a new nonconforming mixed finite element scheme for Sobolev equations
cites work: Unconditional superconvergence analysis of a new mixed finite element method for nonlinear Sobolev equation
cites work: Unconditional superconvergence analysis of an H1‐galerkin mixed finite element method for nonlinear Sobolev equations
cites work: A priori error estimates for interior penalty discontinuous Galerkin method applied to nonlinear Sobolev equations
cites work: Galerkin Finite Element Methods for Parabolic Problems
cites work: Superconvergence analysis of a linearized three‐step backward differential formula finite element method for nonlinear Sobolev equation
cites work: Uniform Error Estimates for Difference Approximations to NonLinear Pseudo-Parabolic Partial Differential Equations
cites work: Two-grid Methods for Finite Volume Element Approximations of Nonlinear Sobolev Equations
cites work: Analysis of a space-time continuous Galerkin method for convection-dominated Sobolev equations
DOI: 10.1016/J.APNUM.2021.05.018
description: scientific article; zbMATH DE number 7371856