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Domain decomposition and discretization of continuous mathematical models. (English) Zbl 0972.65071
Summary: This paper deals with the development of decomposition of domains methods related to the discretization, by collocation-interpolation methods, of continuous models described by nonlinear partial differential equations. The objective of this paper is to show how generalized collocation and domain decomposition methods can be applied for problems where different models are used within the same domain.

MSC:
65M70 Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
35K55 Nonlinear parabolic equations
65M55 Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs
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