A New Non-Overlapping Domain Decomposition Method for a 3D Laplace Exterior Problem

Author:

Sveshnikov V. M.,Savchenko A. O.,Petukhov A. V.

Publisher

Pleiades Publishing Ltd

Subject

Numerical Analysis

Reference15 articles.

1. Quarteroni, A. and Valli, A., Domain DecompositionMethods for Partial Differential Equations, Oxford: Clarendon Press, 1999.

2. Dolean, V., Jolivet, P., and Nataf, F., An Introduction to Domain Decomposition Methods: Algorithms, Theory and Parallel Implementation, Philadelphia, USA: SIAM, 2015.

3. Savchenko, A.O., Il’in, V.P., and Butyugin, D.S., A Method of Solving an Exterior Three-Dimensional Boundary Value Problem for the Laplace Equation, J. Appl. Ind. Math., 2016, vol. 10, no. 2, pp. 41–53.

4. De-hao, Yu. and Ji-ming, Wu, A Nonoverlapping Domain DecompositionMethod for Exterior 3-D Problem, J. Comput. Math., 2001, vol. 19, no. 1, pp. 77–86.

5. Langer, U. and Steinbach, O., Coupled Finite and Boundary Element Domain Decomposition Methods, in Boundary Element Analysis. Mathematical Aspects and Applications, Schanz, M. and Steinbach, O., Eds., Heidelberg: Springer, 2006, pp. 61–95.

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