A Posteriori Error Estimates of Two-Grid Finite Element Methods for Nonlinear Elliptic Problems

Chunjia Bi; Cheng Wang; Yanping Lin

doi:10.1007/s10915-017-0422-y

A Posteriori Error Estimates of Two-Grid Finite Element Methods for Nonlinear Elliptic Problems

Chunjia Bi, Cheng Wang, Yanping Lin

Research output: Journal article publication › Journal article › Academic research › peer-review

13 Citations (Scopus)

Abstract

In this article, we study the residual-based a posteriori error estimates of the two-grid finite element methods for the second order nonlinear elliptic boundary value problems. Computable upper and lower bounds on the error in the H1-norm are established. Numerical experiments are also provided to illustrate the performance of the proposed estimators.

Original language	English
Pages (from-to)	23-48
Number of pages	26
Journal	Journal of Scientific Computing
Volume	74
Issue number	1
DOIs	https://doi.org/10.1007/s10915-017-0422-y
Publication status	Published - 1 Jan 2018

Keywords

A posteriori error estimates
Nonlinear elliptic problems
Two-grid finite element method

ASJC Scopus subject areas

Software
Theoretical Computer Science
Engineering(all)
Computational Theory and Mathematics

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10.1007/s10915-017-0422-y

Cite this

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abstract = "In this article, we study the residual-based a posteriori error estimates of the two-grid finite element methods for the second order nonlinear elliptic boundary value problems. Computable upper and lower bounds on the error in the H1-norm are established. Numerical experiments are also provided to illustrate the performance of the proposed estimators.",

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N2 - In this article, we study the residual-based a posteriori error estimates of the two-grid finite element methods for the second order nonlinear elliptic boundary value problems. Computable upper and lower bounds on the error in the H1-norm are established. Numerical experiments are also provided to illustrate the performance of the proposed estimators.

AB - In this article, we study the residual-based a posteriori error estimates of the two-grid finite element methods for the second order nonlinear elliptic boundary value problems. Computable upper and lower bounds on the error in the H1-norm are established. Numerical experiments are also provided to illustrate the performance of the proposed estimators.

KW - A posteriori error estimates

KW - Nonlinear elliptic problems

KW - Two-grid finite element method

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JO - Journal of Scientific Computing

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A Posteriori Error Estimates of Two-Grid Finite Element Methods for Nonlinear Elliptic Problems

Abstract

Keywords

ASJC Scopus subject areas

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