Discrete conservation of nonnegativity for elliptic problems solved by the hp-FEM

Result code in IS VaVaI

RIV/67985840:_____/07:00335936 - isvavai.cz

Result on the web

—

DOI - Digital Object Identifier

—

Result language

angličtina

Original language name

Discrete conservation of nonnegativity for elliptic problems solved by the hp-FEM

Original language description

Most results related to discrete nonnegativity conservation principles (DNCP) for elliptic problems are limited to finite differences and lowest-order finite element methods (FEM). In this paper we show that a straightforward extension of this principleto higher-order finite element methods (hp-FEM) in the classical sense is not possible. We formulate a weaker DNCP for the Poisson equation in one spatial dimension and prove it using an interval computing technique. Numerical experiments related to theextension of this result to 2D are presented.

Czech name

—

Czech description

—

Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

—

Project

GP201/04/P021: Adaptive change of the mesh for numerical solution of parabolic partial differential equations

Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2007

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Mathematics and Computers in Simulation

ISSN

0378-4754

e-ISSN

—

Volume of the periodical

76

Issue of the periodical within the volume

1-3

Country of publishing house

NL - THE KINGDOM OF THE NETHERLANDS

Number of pages

6

Pages from-to

—

UT code for WoS article

000250841000032

EID of the result in the Scopus database

—