50 citations · 122 across the 25 of their papers we have counts for
29 papers
High-Order Discontinuous Cut Finite Element Methods for Scalar Hyperbolic Conservation Laws
Pei Fu, Gunilla Kreiss, Zelin Xin +1
In this paper, we present a family of high-order cut finite element methods based on the discontinuous Galerkin (DG) framework for scalar hyperbolic conservation laws on complex do…
A bound preserving cut discontinuous Galerkin method for one dimensional hyperbolic conservation laws
Pei Fu, Gunilla Kreiss, Sara Zahedi
In this paper we present a family of high order cut finite element methods with bound preserving properties for hyperbolic conservation laws in one space dimension. The methods are…
A finite difference - discontinuous Galerkin method for the wave equation in second order form
Siyang Wang, Gunilla Kreiss
We develop a hybrid spatial discretization for the wave equation in second order form, based on high-order accurate finite difference methods and discontinuous Galerkin methods. Th…
On energy-stable and high order finite element methods for the wave equation in heterogeneous media with perfectly matched layers
Gustav Ludvigsson, Kenneth Duru, Gunilla Kreiss
This paper presents a stable finite element approximation for the acoustic wave equation on second-order form, with perfectly matched layers (PML) at the boundaries. Energy estimat…
High order discontinuous cut finite element methods for linear hyperbolic conservation laws with an interface
Pei Fu, Thomas Frachon, Gunilla Kreiss +1
We develop a family of cut finite element methods of different orders based on the discontinuous Galerkin framework, for hyperbolic conservation laws with stationary interfaces in…
The perfectly matched layer (PML) for hyperbolic wave propagation problems: A review
Kenneth Duru, Gunilla Kreiss
It is well-known that reliable and efficient domain truncation is crucial to accurate numerical solution of most wave propagation problems. The perfectly matched layer (PML) is a m…