Abstract
Parallel edge-based data structures are used to improve computational efficiency of Inexact Newton methods for solving finite element nonlinear solid mechanics problems on unstructured meshes composed by tetrahedra or hexaedra. We found that for tetrahedral meshes, the use of edgebased data structures reduce memory requirements to hold the stiffness matrix by a factor of 7, and the number of floating point operations to compute the matrix-vector product needed in the iterative driver of the Inexact Newton method by a factor of 5. For hexahedral meshes the reduction factors are respectively 2 and 3.
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Martins, M.A.D., Alves, J.L.D., Coutinho, A.L.G.A. (2001). Parallel Edge-Based Finite Element Techniques for Nonlinear Solid Mechanics. In: Palma, J.M.L.M., Dongarra, J., Hernández, V. (eds) Vector and Parallel Processing — VECPAR 2000. VECPAR 2000. Lecture Notes in Computer Science, vol 1981. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44942-6_41
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DOI: https://doi.org/10.1007/3-540-44942-6_41
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