25 citations · 26 across the 6 of their papers we have counts for
6 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…
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…
High order cut discontinuous Galerkin methods for hyperbolic conservation laws in one space dimension
Pei Fu, Gunilla Kreiss
In this paper, we develop a family of high order cut discontinuous Galerkin (DG) methods for hyperbolic conservation laws in one space dimension. The ghost penalty stabilization is…
Arbitrary Lagrangian-Eulerian discontinuous Galerkin method for conservation laws on moving simplex meshes
Pei Fu, Gero Schnücke, Yinhua Xia
In Klingenberg, Schnücke and Xia (Math. Comp. 86 (2017), 1203-1232) an arbitrary Lagrangian-Eulerian discontinuous Galerkin (ALE-DG) method to solve conservation laws has been deve…
Binary black hole simulation with an adaptive finite element method II: Application of local discontinuous Galerkin method to Einstein equations
Zhoujian Cao, Pei Fu, Li-Wei Ji +1
Finite difference method and pseudo-spectral method have been widely used in the numerical relativity to solve the Einstein equations. As the third major category method to solve p…