Generalized Clenshaw-Curtis quadrature rule with application to a collocation least-squares method

This paper deals with an extension of one-dimensional Clenshaw–Curtis quadrature rule to Rd ; d P 2 on a convex domain. As one of its applications, we apply this quadrature rule to a collocation least-squares method using arbitrary abscissas for a first-order system of an elliptic boundary value problem so that the convergence analysis on a numerical solution can be shown in a standard Sobolev norm. Ó 2007 Elsevier Inc. All rights reserved.

• Type: Journal
• Year: 2007
• Where: AMC
• Authors: Changho Kim, Sang Dong Kim, Jungho Yoon
• Keywords: AMC 2007, Elliptic Boundary Value Problem, Quadrature Rule, Standard Sobolev Norm