An exponential integrator-based discontinuous Galerkin method for linear complementarity systems

Zhengyu Wang (Corresponding Author), Xiaojun Chen

Research output: Journal article publicationJournal articleAcademic researchpeer-review

1 Citation (Scopus)

Abstract

The linear complementarity system (LCS) is defined by a linear ordinary differential equation coupled with a finite-dimensional linear complementarity problem (LCP), which has many applications in engineering and economics. In this article, we reformulate the LCS with the boundary condition as an LCP in the Hilbert space of square-integrable functions, and propose a new numerical method for the LCS by using exponential Euler integrator and discontinuous Galerkin approximation. The precision of the proposed method is better than that of the existing time-stepping method in different magnitude of scale. Convergence analysis and numerical experiments are performed to support the arguments.

Original languageEnglish
Pages (from-to)2145-2165
Number of pages21
JournalIMA Journal of Numerical Analysis
Volume38
Issue number4
DOIs
Publication statusPublished - Oct 2018

Keywords

  • boundary value problems
  • discontinuous Galerkin approximation
  • exponential integrators
  • the linear complementarity system

ASJC Scopus subject areas

  • Mathematics(all)
  • Computational Mathematics
  • Applied Mathematics

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