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http://dx.doi.org/10.3745/KIPSTD.2003.10D.7.1145

An efficient technique to generate reusable matrix to solve a problem in the engineering field  

Lee, Mi-Young (건국대학교 경영정보학과)
Abstract
We show the mixed finite element method which induces solutions that has the same order of errors for both the gradient of the solution and the solution itself. The technique to construct an efficient reusable matrix is suggested. Two families of mixed finite element methods are introduced with an automatic generating technique for matrix with my order of basis. The generated matrix by this technique has more accurate values and is a sparse matrix. This new technique is applied to solve a minimal surface problem.
Keywords
Mixed Finite Element Method; Newton Method; p-version; Gauss-Lobatto quadrature; BDM Spaces; RT Spaces; Lagrange Polynomial; Legendre Polynomial;
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