Abstract
Abstract Because of the exponential increase of computational resource requirement for numerical field simulations of more and more complex physical phenomena and more and more complex large problems in science and engineering practice, parallel processing appears to be an essential tool to handle the resulting large-scale numerical problems. One way of parallelization of sequential (singleprocessor) finite element simulations is the use of domain decomposition methods. Domain decomposition methods (DDMs) for parallel solution of linear systems of equations are based on the partitioning of the analyzed domain into sub-domains which are calculated in parallel while doing appropriate data exchange between those sub-domains. In this case, the non-overlapping domain decomposition method is the Lagrange multiplier based Finite Element Tearing and Interconnecting (FETI) method. This paper describes one direct solver and two parallel solution algorithms of FETI method. Finally, comparative numerical tests demonstrate the differences in the parallel running performance of the solvers of FETI method. We use a single-phase transformer and a three-phase induction motor as twodimensional static magnetic field test problems to compare the solvers
Highlights
The finite element method [1]-[2] is an important technique for the solution of a wide range of problems in science and engineering
The paper presents a parallel approach to the solution of two-dimensional static magnetic field problems by parallel finite element method
With the preconditioned modified conjugate gradient algorithm (PMCG) [3], [9], [15] the sub-domain problems with invertible matrices are solved in the initialize step and related sub-domain with singular matrices are solved in the iteration steps
Summary
The finite element method [1]-[2] is an important technique for the solution of a wide range of problems in science and engineering. The parallel finite element based numerical analysis on supercomputers or on clusters of PCs (Personal Computers) needs the efficient partitioning of the finite element mesh. This is the first and the most important step of parallelization with the use of domain decomposition methods [9]. The paper presents a parallel approach to the solution of two-dimensional static magnetic field problems by parallel finite element method. The comparison focused on the time, speedup and numerical behavior of solvers of FETI method
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
