Abstract
Finite elements are an effective method to solve partial differential equations. However, the high computation time and memory needs, especially for 3-dimensional finite elements, restrict the usage of sequential realizations and require efficient parallel algorithms and implementations to compute real-life problems in reasonable time. Adaptivity together with parallelism can reduce execution time significantly, however may introduce additional difficulties like hanging nodes and refinement level hierarchies. This paper presents a parallel adaptive, 3-dimensional, hexahedral finite element method on distributed memory machines. It reduces communication and encapsulates communication details like actual data exchange and communication optimizations by a modular structure.
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Hippold, J., Meyer, A., Rünger, G. (2004). An Adaptive, 3-Dimensional, Hexahedral Finite Element Implementation for Distributed Memory. In: Bubak, M., van Albada, G.D., Sloot, P.M.A., Dongarra, J. (eds) Computational Science - ICCS 2004. ICCS 2004. Lecture Notes in Computer Science, vol 3037. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24687-9_19
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DOI: https://doi.org/10.1007/978-3-540-24687-9_19
Publisher Name: Springer, Berlin, Heidelberg
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