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

Forskningsoutput: TidskriftsbidragArtikel i vetenskaplig tidskrift

Abstract

Nonlinear parabolic equations are frequently encountered in applications and
approximating their solutions require large scale computations. In order to
obtain efficient numerical approximations, it is crucial to design and analyze
schemes that can be implemented on parallel and distributed hardware. To this
end, we introduce a general framework of non-autonomous, inhomogeneous
evolution equations in a variational setting, and show convergence of the sum
operator splitting scheme. We exemplify the usage to a p-Laplacian type
problem with a possibly time depending domain decomposition.

Detaljer

Författare
Enheter & grupper
Externa organisationer
  • Technical University of Berlin
Forskningsområden

Nyckelord

Originalspråkengelska
TidskriftMathematics of Computation
StatusSubmitted - 2019 feb 27
PublikationskategoriForskning
Peer review utfördJa