Hierarchical universal matrices for H(curl) tetrahedral finite elements

The contents of this repository are associated with the paper: [1] L. L. Toth, A. Amor-Martin, and R. Dyczij-Edlinger, "Hierarchical Universal Matrices for Curvilinear Tetrahedral H(curl) Finite Elements," submitted to IEEE Transactions on Antennas and Propagation. The subdirectory UniversalMatrices contains mathematical formulas for hierarchical L2 and H(curl) basis functions, the corresponding universal matrices (UM), and a MATLAB script for generating these UMs. The bases and UMs are given in two different formats: *.mat MATLAB data file with a MATLAB structure, *.xml file with a structure. The subdirectory MATLAB_TestCode contains MATLAB scripts and input data for reproducing the numerical results given in [1]. For details, see the README.txt files in the bottom-level directories.

Keywords

FEM, universal matrices, hierarchical, finite element, basis, finite element method, basis functions, master matrices, hierarchic, FE

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