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Titolo:
A global uniformly convergent finite element method for a quasi-linear singularly perturbed elliptic problem
Autore:
Li, JC; Navon, IM;
Indirizzi:
Florida State Univ, Dept Math, Tallahassee, FL 32306 USA Florida State Univ Tallahassee FL USA 32306 th, Tallahassee, FL 32306 USA Florida State Univ, Supercomp Computat Res Inst, Tallahassee, FL 32306 USAFlorida State Univ Tallahassee FL USA 32306 st, Tallahassee, FL 32306 USA Texas Inst Computat & Appl Math, Austin, TX 78712 USA Texas Inst Computat & Appl Math Austin TX USA 78712 Austin, TX 78712 USA
Titolo Testata:
COMPUTERS & MATHEMATICS WITH APPLICATIONS
fascicolo: 5-6, volume: 38, anno: 1999,
pagine: 197 - 206
SICI:
0898-1221(199909)38:5-6<197:AGUCFE>2.0.ZU;2-Y
Fonte:
ISI
Lingua:
ENG
Soggetto:
BOUNDARY-VALUE-PROBLEMS; REACTION-DIFFUSION-TYPE; EQUATIONS;
Keywords:
finite element method; singular perturbation; uniformly convergent;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Engineering, Computing & Technology
Citazioni:
34
Recensione:
Indirizzi per estratti:
Indirizzo: Navon, IM Florida State Univ, Dept Math, Tallahassee, FL 32306 USA FloridaState Univ Tallahassee FL USA 32306 assee, FL 32306 USA
Citazione:
J.C. Li e I.M. Navon, "A global uniformly convergent finite element method for a quasi-linear singularly perturbed elliptic problem", COMPUT MATH, 38(5-6), 1999, pp. 197-206

Abstract

In this paper, we construct a bilinear finite element method based on a special piecewise uniform mesh for solving a quasi-linear singularly perturbed elliptic problem in two space dimensions. A quasi-optimal global uniform convergence rate O(N-x(-2) ln(2) N-x + N-y(-2) ln(2) N-y) was obtained, which is independent of the perturbation parameter. Here N-x and N-y are the number of elements in the x-and y-directions, respectively. (C) 1999 Elsevier Science Ltd. All rights reserved.

ASDD Area Sistemi Dipartimentali e Documentali, Università di Bologna, Catalogo delle riviste ed altri periodici
Documento generato il 20/09/20 alle ore 23:07:30