Abstract
This paper deals with an extension of one-dimensional Clenshaw-Curtis quadrature rule to Rd, d ≥ 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.
Original language | English |
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Pages (from-to) | 781-789 |
Number of pages | 9 |
Journal | Applied Mathematics and Computation |
Volume | 190 |
Issue number | 1 |
DOIs | |
State | Published - 1 Jul 2007 |
Keywords
- Clenshaw-Curtis quadrature rule
- Collocation least-squares methods
- First-order system