عنوان

A review of a posteriori error estimation and adaptive mesh-refinement techniques /

(Number (ISBN

0471967955

(Number (ISBN

3519026058

(Number (ISBN

9780471967958

(Number (ISBN

9783519026051

Title Proper

A review of a posteriori error estimation and adaptive mesh-refinement techniques /

General Material Designation

[Book]

First Statement of Responsibility

Rüdiger Verfürth.

Place of Publication, Distribution, etc.

New York :

Name of Publisher, Distributor, etc.

Wiley-Teubner,

Date of Publication, Distribution, etc.

©1996.

Specific Material Designation and Extent of Item

vi, 127 pages :

Other Physical Details

illustrations ;

Dimensions

26 cm

Series Title

Wiley-Teubner series, advances in numerical mathematics

Text of Note

Includes bibliographical references (pages 121-126) and index.

Text of Note

"Self-adaptive discretization methods have gained an enormous importance for the numerical solution of partial differential equations which arise in physical and technical applications. The aim of these methods is to obtain a numerical solution within a prescribed tolerance using a minimal amount of work. The main tools utilised are a posteriori error estimators and indicators which are able to give global and local information on the error of the numerical solution, using only the computed numerical solution and known data of the problem." "Presenting the most frequently used error estimators which have been developed by various scientists in the last two decades, this book demonstrates that they are all based on the same basic principles. These principles are then used to develop an abstract framework which is able to handle general nonlinear problems. The abstract results are applied to various classes of nonlinear elliptic partial differential equations from, for examples, fluid and continuum mechanics, to yield reliable and easily computable error estimators. The book covers stationary problems but omits transient problems, where theory is often still too complex and not yet well developed."--Jacket.

Title

Review of a posteriori error estimation and adaptive mesh-refinement techniques.

Differential equations, Elliptic-- Numerical solutions.

Differential equations, Nonlinear-- Numerical solutions.

Error analysis (Mathematics)

Adaptives Gitter

Analyse numérique.

A-posteriori-Abschätzung

Calcul d'erreur.

Differential equations, Elliptic-- Numerical solutions.

Differential equations, Nonlinear-- Numerical solutions.

Équations aux dérivées partielles.

Error analysis (Mathematics)

Finite-Elemente-Methode

Lokale Verfeinerung

Nichtlineare elliptische Differentialgleichung

Number

512.97

Number

Edition

Class number

Book number

Class number

Class number

System Code

System Code

Verfürth, Rüdiger.

Date of Transaction

20200822114126.0

Electronic name

[Book]

Y