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arXiv · 1204.1718

Computational complexity and memory usage for multi-frontal direct solvers in structured mesh finite elements

Nathan Collier·David Pardo·Maciej Paszynski·Victor M. Calo
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Abstract

The multi-frontal direct solver is the state-of-the-art algorithm for the direct solution of sparse linear systems. This paper provides computational complexity and memory usage estimates for the application of the multi-frontal direct solver algorithm on linear systems resulting from B-spline-based isogeometric finite elements, where the mesh is a structured grid. Specifically we provide the estimates for systems resulting from $C^{p-1}$ polynomial B-spline spaces and compare them to those obtained using $C^0$ spaces.

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Nathan Collier, David Pardo, Maciej Paszynski, Victor M. Calo. 2012-04-08. Computational complexity and memory usage for multi-frontal direct solvers in structured mesh finite elements. https://arxiv.org/abs/1204.1718

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