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

摘要

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.