MATLAB Implementation of Element-based Solvers
Leszek Marcinkowski, Jan Valdman
TL;DR
This paper presents a MATLAB implementation of element-based solvers for finite element methods, utilizing vectorized assembly techniques and iterative solvers that avoid sparse matrix usage.
Contribution
It introduces a novel MATLAB approach that leverages multi-dimensional arrays for assembling matrices and implements iterative solvers without sparse matrices.
Findings
Efficient matrix assembly using vectorized operations.
Avoidance of sparse matrices in iterative solvers.
Potential for improved computational performance in MATLAB.
Abstract
Rahman and Valdman (2013) introduced a vectorized way to assemble finite element stiffness and mass matrices in MATLAB. Local element matrices are computed all at once by array operations and stored in multi-dimentional arrays (matrices). We build some iterative solvers on available multi-dimentional structures completely avoiding the use of a sparse matrix.
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