Mueller‐Roemer, J. S. ; Stork, A. (2018)
GPU‐based Polynomial Finite Element Matrix Assembly for Simplex Meshes.
In: Computer Graphics Forum, 37 (7)
doi: 10.1111/cgf.13581
Artikel, Bibliographie
Kurzbeschreibung (Abstract)
In this paper, we present a matrix assembly technique for arbitrary polynomial order finite element simulations on simplex meshes for graphics processing units (GPU). Compared to the current state of the art in GPU-based matrix assembly, we avoid the need for an intermediate sparse matrix and perform assembly directly into the final, GPU-optimized data structure. Thereby, we avoid the resulting 180% to 600% memory overhead, depending on polynomial order, and associated allocation time, while simplifying the assembly code and using a more compact mesh representation. We compare our method with existing algorithms and demonstrate significant speedups.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2018 |
| Autor(en): | Mueller‐Roemer, J. S. ; Stork, A. |
| Art des Eintrags: | Bibliographie |
| Titel: | GPU‐based Polynomial Finite Element Matrix Assembly for Simplex Meshes |
| Sprache: | Englisch |
| Publikationsjahr: | 2018 |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | Computer Graphics Forum |
| Jahrgang/Volume einer Zeitschrift: | 37 |
| (Heft-)Nummer: | 7 |
| DOI: | 10.1111/cgf.13581 |
| URL / URN: | https://doi.org/10.1111/cgf.13581 |
| Kurzbeschreibung (Abstract): | In this paper, we present a matrix assembly technique for arbitrary polynomial order finite element simulations on simplex meshes for graphics processing units (GPU). Compared to the current state of the art in GPU-based matrix assembly, we avoid the need for an intermediate sparse matrix and perform assembly directly into the final, GPU-optimized data structure. Thereby, we avoid the resulting 180% to 600% memory overhead, depending on polynomial order, and associated allocation time, while simplifying the assembly code and using a more compact mesh representation. We compare our method with existing algorithms and demonstrate significant speedups. |
| Freie Schlagworte: | FEM Simulation, General Purpose Computation on Graphics Processing Unit (GPGPU), Matrix representation, Mesh representation |
| Fachbereich(e)/-gebiet(e): | 20 Fachbereich Informatik 20 Fachbereich Informatik > Graphisch-Interaktive Systeme |
| Hinterlegungsdatum: | 26 Jun 2019 11:43 |
| Letzte Änderung: | 26 Jun 2019 11:43 |
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