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Journal of Microwaves, Optoelectronics and Electromagnetic Applications

On-line version ISSN 2179-1074

Abstract

AMORIM, Lucas; GOVEIA, Thiago; MESQUITA, Renato  and  BARATTA, Igor. GPU Finite Element Method Computation Strategy Without Mesh Coloring. J. Microw. Optoelectron. Electromagn. Appl. [online]. 2020, vol.19, n.2, pp.252-264.  Epub June 08, 2020. ISSN 2179-1074.  https://doi.org/10.1590/2179-10742020v19i2851.

A GPU-adapted Finite Element Method (A-FEM) implementation without using a mesh coloring strategy to avoid race conditions is presented. All the elements are simultaneously processed, and the local data is computed and consolidated into the device memory in a new adapted Coordinate Format data structure (a-COO). The comparison between the proposed solution and two GPU Element-by-Element Finite Element Method (EbE-FEM) approaches shows promising results since it is no longer necessary the mesh coloring step. This new approach is well suited for problems that need re-meshing and consequently would need re-coloring, e.g., adaptive mesh refinement.

Keywords : FEM; GPU; linear equations; CUDA.

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