Discrete Mixed Petrov-Galerkin Finite Element Method for a Fourth-Order Two-Point Boundary Value Problem

L. Jones Tarcius Doss and A. P. Nandini

International Journal of Mathematics and Mathematical Sciences, 2012, vol. 2012, 1-18

Abstract:

A quadrature-based mixed Petrov-Galerkin finite element method is applied to a fourth-order linear ordinary differential equation. After employing a splitting technique, a cubic spline trial space and a piecewise linear test space are considered in the method. The integrals are then replaced by the Gauss quadrature rule in the formulation itself. Optimal order a priori error estimates are obtained without any restriction on the mesh.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:962070

DOI: 10.1155/2012/962070

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