3 papers
math.NA2026
Enriched higher-order multiscale approaches with applications to wave propagation
Balaje Kalyanaraman, Felix Krumbiegel, Roland Maier +1
We consider the numerical solution of partial differential equations with coefficients that are strongly heterogeneous in space. We provide an overview of higher-order localized or…
math.NA2025
A hybrid numerical method for elastic wave propagation in discontinuous media with complex geometry
Andreas Granath, Siyang Wang
We develop a high order accurate numerical method for solving the elastic wave equation in second-order form. We hybridize the computationally efficient Cartesian grid formulation…
math.NA2025
Stable and high-order accurate finite difference methods for the diffusive viscous wave equation
Siyang Wang
The diffusive viscous wave equation describes wave propagation in diffusive and viscous media. Examples include seismic waves traveling through the Earth's crust, taking into accou…