NUMERICAL METHODS FOR SINGULARLY PERTURBED ELLIPTIC PROBLEMS CONTAINING TWO PERTURBATION PARAMETERS

Autor:	Grigory Shishkin, Eugene O'Riordan, M. L. Pickett
Rok vydání:	2006
Předmět:	Elliptic Numerical analysis Mathematical analysis Perturbation (astronomy) two parameters Upwind scheme Uniform error Tensor product Modeling and Simulation QA1-939 Piecewise A priori and a posteriori Polygon mesh a priori parameter bounds Mathematics Analysis
Zdroj:	Mathematical Modelling and Analysis, Vol 11, Iss 2 (2006) Mathematical Modelling and Analysis; Vol 11 No 2 (2006); 199-212
ISSN:	1648-3510 1392-6292
Popis:	A priori parameter explicit bounds on the derivatives of the solution of a two parameter singularly perturbed elliptic problem in two space dimensions are presented. These bounds are used to establish parameter uniform error bounds for a numerical method consisting of upwinding on a tensor product of two piecewise uniform meshes. First Published Online: 14 Oct 2010
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::143912262bd8ed164d1f0e3b107ece1b https://doi.org/10.3846/13926292.2006.9637313 Zobrazit plný text záznamu Plný text ve formátu PDF