2017-18 URA Scholar Theodore Weinberg's paper originating from his undergraduate research was published online over the Summer by SIAM Undergraduate Research Online.
Title: "Fast implementation of mixed RT0 finite elements in MATLAB"
Teddy is currently in the UMBC Applied Mathematics PhD program, still working with Dr. Sousedik on research, some of which continuing the undergraduate work.
We develop a fast implementation of the mixed finite element method for the Darcy’s problem discretized by lowest-order Raviart-Thomas finite elements using Matlab. The implementation is based on the so-called vector- ized approach applied to the computation of the finite element matrices and assembly of the global finite element matrix. The code supports both 2D and 3D domains, and the finite elements can be triangular, rectangular, tetrahedral or hexahedral. The code can also be easily modified to import user-provided meshes. We comment on our freely available code and present a performance comparison with the standard approach.
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