Optimal error estimate of a decoupled conservative local discontinuous Galerkin method for the Klein-Gordon-Schrödinger equations

Research output: Contribution to journalArticle

Abstract

In this paper, we propose a decoupled local discontinuous Galerkin method for solving the Klein-Gordon-Schrödinger (KGS) equations. The KGS equations is a model of the Yukawa interaction of complex scalar nucleons and real scalar mesons. The advantage of our scheme is that the computation of the nucleon and meson field is fully decoupled, so that it is especially suitable for parallel computing. We present the conservation property of our fully discrete scheme, including the energy and Hamiltonian conservation, and establish the optimal error estimate.
Original languageEnglish (US)
Pages (from-to)39-78
Number of pages40
JournalJournal of Korean Society of Industrial and Applied Mathematics
Volume24
Issue number1
DOIs
StatePublished - 2020

Keywords

  • Conservative local discontinuous Galerkin methods
  • Error estimates
  • Klein–Gordon–Schrödinger equations

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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