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Publication Citation: A Collection of 2D Elliptic Problems for Testing Adaptive Algorithms

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Author(s): William F. Mitchell;
Title: A Collection of 2D Elliptic Problems for Testing Adaptive Algorithms
Published: February 26, 2010
Abstract: Adaptive grid refinement is a critical component of the improvements that have recently been made in algorithms for the numerical solution of partial differential equations (PDEs). The development of new algorithms and computer codes for the solution of PDEs usually involves the use of proof-of-concept test problems. 2D elliptic problems are often used as the first test bed for new algorithms and codes. This paper contains a set of twelve parametrized 2D elliptic test problems for adaptive grid refinement algorithms and codes. The problems exhibit a variety of types of singularities, near singularities, and other difficulties.
Citation: NIST Interagency/Internal Report (NISTIR) - 7668
Pages: 21 pp.
Keywords: adaptive grid refinement; elliptic partial differential equations; test problems
Research Areas: Software
PDF version: PDF Document Click here to retrieve PDF version of paper (2MB)