A non-iterative domain decomposition time integrator combined with discontinuous Galerkin space discretizations for acoustic wave equations
This work addresses computational challenges in wave propagation simulations for fields like geophysics or engineering, though it appears incremental by building on prior domain decomposition methods.
The authors tackled the problem of simulating acoustic wave equations by proposing a non-iterative domain decomposition time integrator combined with discontinuous Galerkin space discretizations, enabling higher-order approximations and handling heterogeneous material parameters naturally.
We propose a novel non-iterative domain decomposition time integrator for acoustic wave equations using a discontinuous Galerkin discretization in space. It is based on a local Crank-Nicolson approximation combined with a suitable local prediction step in time. In contrast to earlier work using linear continuous finite elements with mass lumping, the proposed approach enables higher-order approximations and also heterogeneous material parameters in a natural way.