Engineering Transactions, 65, 1, pp. 163–170, 2017

Evaluation of Partial Factorization for Reduction of Finite Element Matrices

Institute of Fundamental Technological Research Polish Academy of Sciences

Institute of Fundamental Technological Research Polish Academy of Sciences

In this paper, we present the concept of Partial Factorization [1] And discuss its possible applications to the Finite Element method. We consider: (1) reduction of the element tangent matrix, which is particularly important for mixed/enhanced elements and (2) reduction of the sub-domain matrices of the Domain Decomposition (DD) equation solvers run either sequentially on a single machine or in parallel on a cluster of computers. We demonstrate that Partial Factorization can be beneficial for these applications.
Keywords: multi-scale models of multi-layer shells; mixed/enhanced finite elements; parallel computing; Domain Decomposition, solvers
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