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New Technique for Formulation of Domain Decomposition Algorithms

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Abstract A new technique is proposed for constructing domain decomposition algorithms based on optimal control theory, the theory of inverse and ill-posed problems, application of adjoint equations, and modern iterative… Click to show full abstract

Abstract A new technique is proposed for constructing domain decomposition algorithms based on optimal control theory, the theory of inverse and ill-posed problems, application of adjoint equations, and modern iterative processes. The technique applies to a broad class of problems in mathematical physics (including ones with nonsymmetric operators, convection-dominant operators, etc.).

Keywords: domain decomposition; decomposition algorithms; new technique; physics

Journal Title: Computational Mathematics and Mathematical Physics
Year Published: 2020

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