Browsing by Author "Mueller-Roemer, Johannes Sebastian"

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    GPU-based Polynomial Finite Element Matrix Assembly for Simplex Meshes
    (The Eurographics Association and John Wiley & Sons Ltd., 2018) Mueller-Roemer, Johannes Sebastian; Stork, André; Fu, Hongbo and Ghosh, Abhijeet and Kopf, Johannes
    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.