Energy-preserving mixed finite element methods for the elastic wave equation

Songxin Li and Yongke Wu

Applied Mathematics and Computation, 2022, vol. 422, issue C

Abstract: In this paper, energy-preserving mixed finite element methods corresponding to finite element exterior calculus are constructed for the first-order formulation of the elastic wave equation. The semi-discrete method conserves the system’s energies exactly. A full-discrete method employing the Crank-Nicolson method, preserves energies exactly. In addition, optimal convergence orders are obtained based on a projection-based quasi-interpolation operator. Numerical experiments confirm the theoretical results.

Keywords: Elastic wave; Energy-preserving; Mixed finite element methods; Error analysis (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:422:y:2022:i:c:s0096300322000492

DOI: 10.1016/j.amc.2022.126963

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