Superconvergence in Galerkin Finite Element Methods / by Lars B. Wahlbin.

Format:

Book

Author/Creator:

Wahlbin, Lars B., 1945-2013, author.

Contributor:

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 1605.

Lecture Notes in Mathematics, 0075-8434 ; 1605

Language:

English

Subjects (All):

Numerical analysis.

Global analysis (Mathematics).

Numerical Analysis.

Analysis.

Local Subjects:

Numerical Analysis.

Analysis.

Physical Description:

1 online resource (XII, 172 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1995.

System Details:

text file PDF

Summary:

This book is essentially a set of lecture notes from a graduate seminar given at Cornell in Spring 1994. It treats basic mathematical theory for superconvergence in the context of second order elliptic problems. It is aimed at graduate students and researchers. The necessary technical tools are developed in the text although sometimes long proofs are merely referenced. The book gives a rather complete overview of the field of superconvergence (in time-independent problems). It is the first text with such a scope. It includes a very complete and up-to-date list of references.

Contents:

Some one-dimensional superconvergence results

Remarks about some of the tools used in Chapter 1

Local and global properties of L 2-projections

to several space dimensions: some results about superconvergence in L 2-projections

Second order elliptic boundary value problems in any number of space dimensions: preliminary considerations on local and global estimates and presentation of the main technical tools for showing superconvergence

Superconvergence in tensor-product elements

Superconvergence by local symmetry

Superconvergence for difference quotients on translation invariant meshes

On superconvergence in nonlinear problems

10. Superconvergence in isoparametric mappings of translation invariant meshes: an example

Superconvergence by averaging: mainly, the K-operator

A computational investigation of superconvergence for first derivatives in the plane.

Other Format:

Printed edition:

ISBN:

9783540494010

Access Restriction:

Restricted for use by site license.