A Two-Point Boundary Value Problem  by Using a Mixed Finite  Element Method

Pedro Pablo Cárdenas Alzate; José Rodrigo González Granada

doi:10.4236/am.2015.612177

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AM> Vol.6 No.12, November 2015

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A Two-Point Boundary Value Problem by Using a Mixed Finite Element Method

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DOI: 10.4236/am.2015.612177 2,303 Downloads 2,758 Views Citations

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Pedro Pablo Cárdenas Alzate, José Rodrigo González Granada

Affiliation(s)

Department of Mathematics, Universidad Tecnoloacute;gica de Pereira, Pereira, Colombia.

ABSTRACT

This paper describes a numerical solution for a two-point boundary value problem. It includes an algorithm for discretization by mixed finite element method. The discrete scheme allows the utilization a finite element method based on piecewise linear approximating functions and we also use the barycentric quadrature rule to compute the stiffness matrix and the L₂-norm.

KEYWORDS

Two-Point BVP, Galerkin’s Method, Non-Symmetric Problem

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Alzate, P. and Granada, J. (2015) A Two-Point Boundary Value Problem by Using a Mixed Finite Element Method. Applied Mathematics, 6, 1996-2003. doi: 10.4236/am.2015.612177.

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