Defect correction from a Galerkin viewpoint |
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Authors: | Gerald Moore |
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Institution: | (1) Department of Mathematics, Imperial College of Science and Technology, Huxley Building Queen's Gate, SW7 2BZ London, UK |
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Abstract: | Summary We consider the numerical solution of systems of nonlinear two point boundary value problems by Galerkin's method. An initial solution is computed with piecewise linear approximating functions and this is then improved by using higher-order piecewise polynomials to compute defect corrections. This technique, including numerical integration, is justified by typical Galerkin arguments and properties of piecewise polynomials rather than the traditional asymptotic error expansions of finite difference methods. |
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Keywords: | AMS (MOS): 65L60 CR: G 1 8 |
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