Exact artificial boundary conditions for quasi-linear problems in semi-infinite strips
type: Item
instance of: scholarly article
title: Exact artificial boundary conditions for quasi-linear problems in semi-infinite strips
zbMATH Open document ID: 1477.65203
DOI: 10.1155/2021/1660711
author: Yajun Chen
author: Qikui Du
published in: Journal of Mathematics
publication date: 2021-11-25T00:00:00Z
review text: Summary: In this paper, the exact artificial boundary conditions for quasi-linear problems in semi-infinite strips are investigated. Based on the Kirchhoff transformation, the exact and approximate boundary conditions on a segment artificial boundary are derived. The error estimate for the finite element approximation with the artificial boundary condition is obtained. Some numerical examples show the efficiency of this method.
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35J65
zbMATH DE Number: 7433529
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/1660711
OpenAlex ID: W3199108626
cites work: On Galerkin approximations of a quasilinear nonpotential elliptic problem of a nonmonotone type
cites work: A note on the Neumann problem for a quasilinear elliptic problem of a nonmonotone type
cites work: Finite element error estimates for nonlinear elliptic equations of monotone type
cites work: Finite element analysis of variational crimes for a quasilinear elliptic problem in 3D
cites work: Mixed Finite Element Methods for Quasilinear Second-Order Elliptic Problems
cites work: On a mixed finite element formulation of a second-order quasilinear problem in the plane
cites work: Error Estimates and Iterative Procedure for Mixed Finite Element Solution of Second-Order Quasi-Linear Elliptic Problems
cites work: Discontinuous Galerkin finite element approximation of quasilinear elliptic boundary value problems I: the scalar case
cites work: Convergence of an adaptive Kačanov FEM for quasi-linear problems
cites work: Q3702454
cites work: Q3685982
cites work: Q3750962
cites work: Q4409170
cites work: Exact non-reflecting boundary conditions
cites work: On nonreflecting boundary conditions
cites work: Exact artificial boundary conditions for quasilinear elliptic equations in unbounded domains
cites work: Q3609584
cites work: The Coupling of NBEM and FEM for Quasilinear Problems in a Bounded or Unbounded Domain with a Concave Angle
cites work: Q3216269
cites work: Q4881818
cites work: On a FEM--BEM Formulation for an Exterior Quasilinear Problem in the Plane
description: scientific article; zbMATH DE number 7433529