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An Algorithm for Tensor Product Approximation of Three-Dimensional Material Data for Implicit Dynamics Simulations
[chapter]
2018
Lecture Notes in Computer Science
In the paper, a heuristic algorithm for tensor product approximation with B-spline basis functions of three-dimensional material data is presented. The algorithm has an application as a preconditioner for implicit dynamics simulations of a non-linear flow in heterogeneous media using alternating directions method. As the simulation use-case, a non-stationary problem of liquid fossil fuels exploration with hydraulic fracturing is considered. Presented algorithm allows to approximate the
doi:10.1007/978-3-319-93701-4_12
fatcat:635u775bjndulh3c44eh264dbm