ScholarLens Back to search
2007•Journal of Hunan University of Science and EngineeringRequires access

Postprocessing Technique for Higher Accuracy of Finite Element Methods

Qingsong Peng

Open publisher page 0 citations

Abstract

The finite element method is one of the efficient numerical methods to solve partial different equations(PDEs).But the derivatives of the finite element solution do not continue over elements’ boundary and have low global accuracy.So it arises many computation mathematicians’ interest how to improve the accuracy of the finite element solutions.This paper makes an emphasis on the superconvergence postprocessing technique of finite element methods,and sum some types of postprocessing techniques,in particular,discusses the SPR technique in more detail.

About this research paper

What this paper is about

The finite element method is one of the efficient numerical methods to solve partial different equations(PDEs).But the derivatives of the finite element solution do not continue over elements’ boundary and have low global accuracy.So it arises many computation mathematicians’ interest how to improve the accuracy of the finite element solutions.This paper makes an emphasis on the superconvergence postprocessing technique of finite element methods,and sum some types of postprocessing techniques,in particular,discusses the SPR technique in more detail.

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

The finite element method is one of the efficient numerical methods to solve partial different equations(PDEs).But the derivatives of the finite element solution do not continue over elements’ boundary and have low global accuracy.So it arises many computation mathematicians’ interest how to improve the accuracy of the finite element solutions.This paper makes an emphasis on the superconvergence postprocessing technique of finite element methods,and sum some types of postprocessing techniques,in particular,discusses the SPR technique in more detail.

Key concepts: Superconvergence, Finite element method, Smoothed finite element method, Extended finite element method, Mixed finite element method, Computation, Boundary knot method, Element (criminal law)

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Postprocessing Technique for Higher Accuracy of Finite Element Methods — Research Paper | ScholarLens