50 citations · 76 across the 3 of their papers we have counts for
5 papers
Elastic wave propagation in complex geometries: A qualitative comparison between two high order finite difference methods
Kristoffer Virta, Christopher Juhlin, Gunilla Kreiss
We compare two high order finite-difference methods that solve the elastic wave equation in two dimensional domains with curved boundaries and material discontinuities. Two numeric…
High order finite difference methods for the wave equation with non-conforming grid interfaces
Siyang Wang, Kristoffer Virta, Gunilla Kreiss
We use high order finite difference methods to solve the wave equation in the second order form. The spatial discretization is performed by finite difference operators satisfying a…
Stable difference methods for block-oriented adaptive grids
Anna Nissen, Katharina Kormann, Magnus Grandin +1
In this paper, we present a block-oriented scheme for adaptive mesh refinement based on summation-by-parts (SBP) finite difference methods and simultaneous-approximation-term (SAT)…
High Order Finite Difference Schemes for the Elastic Wave Equation in Discontinuous Media
Kristoffer Virta, Kenneth Duru
Finite difference schemes for the simulation of elastic waves in materi- als with jump discontinuities are presented. The key feature is the highly accurate treatment of interfaces…
Surface Waves in Almost Incompressible Elastic Materials
Kristoffer. Virta, Gunilla. Kreiss
A recent study shows that the classical theory concerning accuracy and points per wavelength is not valid for surface waves in almost incompressible elastic materials. The grid siz…