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

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  • L. Jones Tarcius Doss
  • A. P. Nandini

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.

Suggested Citation

  • L. Jones Tarcius Doss & A. P. Nandini, 2012. "Discrete Mixed Petrov-Galerkin Finite Element Method for a Fourth-Order Two-Point Boundary Value Problem," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-18, February.
    • Handle: RePEc:hin:jijmms:962070
    DOI: 10.1155/2012/962070
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