To reduce the release of CO 2 from traditional energy, wind energy is developed very fast all
over the world. This means that more large wind turbines will be installed on land and more …

The accurate simulation of wave propagation is a problem of longstanding interest. In this
article, the focus is on higher-order accurate finite difference schemes for the wave equation …

The Laplacian appears in several partial differential equations used to model wave
propagation. Summation-by-parts–simultaneous approximation term (SBP-SAT) finite …

We introduce an energy stable, high-order-accurate finite difference approximation of the
dynamic, pure bending Kirchhoff plate equations for complex geometries and spatially …

The modeling of sound propagation for land-based wind turbines is a complex task that
takes various parameters into account. Not only do the wind speed and wind direction affect …

This paper presents an extension of a recently developed high order finite difference method
for the wave equation on a grid with non-conforming interfaces. The stability proof of the …

In this work, we discuss and compare three methods for the numerical approximation of
constant-and variable-coefficient diffusion equations in both single and composite domains …

A high-fidelity finite difference approximation of the dynamic beam equation is derived.
Different types of well-posed boundary conditions are analysed. The boundary closures are …

Highly accurate simulations of problems including second derivatives on complex
geometries are of primary interest in academia and industry. Consider for example the …

A gradient-based method for shape optimization problems constrained by the acoustic wave
equation is presented. The method makes use of high-order accurate finite differences with …