The need of the aerospace industry, at national or European level, of faster yet reliable
computational fluid dynamics models is the main drive for the application of model reduction …

Abstract Summation-by-parts (SBP) operators allow us to systematically develop energy-
stable and high-order accurate numerical methods for time-dependent differential equations …

We derive new boundary conditions and implementation procedures for nonlinear initial
boundary value problems (IBVPs) with non-zero boundary data that lead to bounded …

We developed a 3D elastic wave propagation solver that supports topography using
staggered curvilinear grids. Our method achieves comparable accuracy to the classical …

We consider numerical simulation of the isotropic elastic wave equations arising from
seismic applications with non-trivial land topography. The more flexible finite element …

We present an adjoint-based optimization method to invert for stress and frictional
parameters used in earthquake modeling. The forward problem is linear elastodynamics …

Constructing stable difference schemes on complex geometries is an arduous task. Even
fairly simple partial differential equations end up very convoluted in their discretized form …

We study nonconforming grid interfaces for summation-by-parts finite difference methods
applied to partial differential equations with second derivatives in space. To maintain energy …

Abstract Summation-by-parts (SBP) finite difference methods have several desirable
properties for second-order wave equations. They combine the computational efficiency of …

We combine existing summation-by-parts discretization methods to obtain a simplified
numerical framework for partial differential equations posed on complex multi-block/element …