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PROGRAMMING OF FINITE ELEMENT METHODS IN MATLAB

PROGRAMMING OF FINITE ELEMENT METHODS IN MATLABLONG CHENWe shall discuss how to implement the linear FINITE ELEMENT method for solving the Pois-son equation. We begin with the data structure to represent the triangulation and boundaryconditions, introduce the sparse matrix, and then discuss the assembling process. Since weuse MATLAB as the PROGRAMMING language, we pay attention to an efficient programmingstyle using sparse matrices in DATASTRUCTURE OFTRIANGULATIONWe shall discuss the data structure to represent triangulations and boundary data matricesnode(1:N,1:d)andelem(1:NT,1:d+1) areused to represent ad-dimensional triangulation embedded inRd, whereNis the numberof vertices andNTis the number of elements . These two matrices represent two differentstructure of a triangulation:elemfor the topology andnodefor the geometric matrixelemrepresents a set of abstract simplices.

PROGRAMMING OF FINITE ELEMENT METHODS IN MATLAB 3 computer memory by not storing many zero entries. We refer to the book [6] for detailed description on sparse matrix data structure and [7] for a quick introduction on popular data structures of sparse matrix. In particular, the sparse matrix data structure and operations

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