L2-NORM ERROR ANALYSIS OF THE HP-VERSION WITH NUMERICAL INTEGRATION

Autor:	Ik-Sung Kim
Rok vydání:	2002
Předmět:	symbols.namesake General Mathematics Dirichlet boundary condition Mathematical analysis Gauss–Jacobi quadrature symbols Gauss–Laguerre quadrature Gauss–Kronrod quadrature formula Tanh-sinh quadrature Gauss–Hermite quadrature Clenshaw–Curtis quadrature Numerical integration Mathematics
Zdroj:	Bulletin of the Korean Mathematical Society. 39:9-22
ISSN:	1015-8634
DOI:	10.4134/bkms.2002.39.1.009
Popis:	We consider the hpiversion to solve non-constant co- ecients elliptic equations with Dirichlet boundary conditions on a bounded, convex polygonal domain › in R 2 . To compute the integrals in the variational formulation of the discrete problem we need the numerical quadrature rule scheme. In this paper we con- sider a family Gp = fImg of numerical quadrature rules satisfying certain properties. When the numerical quadrature rules Im 2 Gp are used for calculating the integrals in the stiness matrix of the variational form we will give its variational form and derive an error estimate of ku ie h k 0;› .
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::297902f36e41358f2e911aeca2eafbf9 https://doi.org/10.4134/bkms.2002.39.1.009 Zobrazit plný text záznamu