3 papers
math.NA2022
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…
math.NA2021
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…
gr-qc2018
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…