1 citations · 4 across the 6 of their papers we have counts for
6 papers
High-Order Structure-Preserving SBP Finite Difference Methods for the Vlasov-Maxwell System on Matrix-Free GPUs
Robin Dymér, Ken Mattsson, Murtazo Nazarov
In this paper, we present a high-order, stable summation-by-parts (SBP) finite difference method for solving the Vlasov-Maxwell system in a 2D2V phase space. Central SBP operators…
Boundary-optimized closures for diagonal-norm upwind SBP operators
Ken Mattsson, David Niemelä, Andrew R. Winters
By employing non-equispaced grid points near boundaries, boundary-optimized upwind finite-difference operators of orders up to nine are developed. The boundary closures are constru…
Boundary and interface methods for energy stable finite difference discretizations of the dynamic beam equation
Gustav Eriksson, Jonatan Werpers, David Niemelä +3
We consider energy stable summation by parts finite difference methods (SBP-FD) for the homogeneous and piecewise homogeneous dynamic beam equation (DBE). Previously the constant c…
Energy stable and accurate coupling of finite element methods and finite difference methods
Tuan Anh Dao, Ken Mattsson, Murtazo Nazarov
We introduce a hybrid method to couple continuous Galerkin finite element methods and high-order finite difference methods in a nonconforming multiblock fashion. The aim is to opti…
Realization of adiabatic Aharonov-Bohm scattering with neutrons
Erik Sjöqvist, Martin Almquist, Ken Mattsson +2
The adiabatic Aharonov-Bohm (AB) effect is a manifestation of the Berry phase acquired when some slow variables take a planar spin around a loop. While the effect has been observed…
Stable and Accurate Interpolation Operators for High-Order Multi-Block Finite-Difference Methods
K. Mattsson, Mark H. Carpenter
Block-to-block interface interpolation operators are constructed for several common high-order finite difference discretizations. In contrast to conventional interpolation operator…