Abstract
The key goal of the current paper is to implement a parallel alternating-direction implicit, or ADI, method for solving linear and nonlinear equations describing gravitational flow of ground water and realize it on a distributed-memory MIMD-computer under the MPI messagepassing system. Aside from that, the paper represents a comparison of the parallel algorithms for solving aforementioned equations and their evaluation in terms of relative efficiency and speedup. The obtained results show that for reasonably large discretization grids the parallel ADI method, both for the linear and non-linear equations, is effective enough on a large number of processors, and
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Schevtschenko, I.V. (2001). A Parallel ADI Method for Linear and Non-linear Equations. In: Hertzberger, B., Hoekstra, A., Williams, R. (eds) High-Performance Computing and Networking. HPCN-Europe 2001. Lecture Notes in Computer Science, vol 2110. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48228-8_45
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DOI: https://doi.org/10.1007/3-540-48228-8_45
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