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Element-based Solvers

version 1.0.0 (830 KB) by Jan Valdman
2D Poisson's solver using only local FEM matrices without the global matrix assembly.
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Updated 11 Feb 2019

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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. The implementation of those solvers is directly based on MATLAB codes from Rahman and Valdman (2013).

Type 'start_tensor_solver_Dirichlet' to run the code.

Cite As

MATLAB Implementation of Element-based Solvers by Leszek Marcinkowski and Jan Valdman.

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MATLAB Release Compatibility
Created with R2018b
Compatible with any release
Platform Compatibility
Windows macOS Linux
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Acknowledgements

Inspired by: Fast FEM assembly: nodal elements

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code

code/library_meshing

code/library_nodal_elements_rv

code/library_vectorization

code/library_visualization