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DOE OSTI · 2420556

Asynchronous domain decomposition methods for nonlinear PDEs

Chaouqui, Fayçal·Chow, Edmond·Szyld, Daniel B.
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Abstract

One- and two-level parallel asynchronous methods for the numerical solution of nonlinear systems of equations, especially those arising from (nonlinear) partial differential equations, are studied. The proposed methods are based on domain decomposition techniques. Local convergence theorems are presented in several cases, with appropriate hypotheses. Computational results on a shared memory multiprocessor machine for various problems exhibiting nonlinearities are reported, illustrating the potential of these asynchronous methods, especially for heterogeneous clusters.

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97 MATHEMATICS AND COMPUTINGAsynchronous iterationsDomain decompositionMathematicsNonlinear problemsPartial differential equationstwo-level methods

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BibTeXRIS

Chaouqui, Fayçal, Chow, Edmond, Szyld, Daniel B.. 2022-11-02. Asynchronous domain decomposition methods for nonlinear PDEs. https://doi.org/10.1553/etna_vol58s22

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