DOI QR코드

DOI QR Code

OPTIMAL ERROR ESTIMATE OF A DECOUPLED CONSERVATIVE LOCAL DISCONTINUOUS GALERKIN METHOD FOR THE KLEIN-GORDON-SCHRÖDINGER EQUATIONS

  • YANG, HE (DEPARTMENT OF MATHEMATICS, AUGUSTA UNIVERSITY)
  • 투고 : 2020.01.29
  • 심사 : 2020.03.20
  • 발행 : 2020.03.25

초록

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.

키워드

과제정보

연구 과제 주관 기관 : Augusta University

The author acknowledges the valuable comments from anonymous reviewers and the support from Augusta University.

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