A variational approach to splitting schemes, with applications to domain decomposition integrators

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Bibtex

@article{2f8cce914d8048aa83ab820cbc6d3ed2,
title = "A variational approach to splitting schemes, with applications to domain decomposition integrators",
abstract = "Nonlinear parabolic equations are frequently encountered in applications andapproximating their solutions require large scale computations. In order toobtain efficient numerical approximations, it is crucial to design and analyzeschemes that can be implemented on parallel and distributed hardware. To thisend, we introduce a general framework of non-autonomous, inhomogeneousevolution equations in a variational setting, and show convergence of the sumoperator splitting scheme. We exemplify the usage to a p-Laplacian typeproblem with a possibly time depending domain decomposition.",
keywords = "Nonlinear evolution problem, monotone operator, operator splitting, convergence, domain decomposition",
author = "Monika Eisenmann and Eskil Hansen",
year = "2019",
month = "2",
day = "27",
language = "English",
journal = "Mathematics of Computation",
issn = "1088-6842",
publisher = "American Mathematical Society (AMS)",

}