A split step Fourier/discontinuous Galerkin scheme for the Kadomtsev–Petviashvili equation

Lukas Einkemmer and Alexander Ostermann

Applied Mathematics and Computation, 2018, vol. 334, issue C, 311-325

Abstract: In this paper we propose a method to solve the Kadomtsev–Petviashvili equation based on splitting the linear part of the equation from the nonlinear part. The linear part is treated using FFTs, while the nonlinear part is approximated using a semi-Lagrangian discontinuous Galerkin approach of arbitrary order.

Keywords: KP equation; time splitting; semi-Lagrangian discontinuous Galerkin methods; method of characteristics (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:334:y:2018:i:c:p:311-325

DOI: 10.1016/j.amc.2018.04.013

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