5 papers
An absolutely convergent fixed-point fast sweeping WENO method on triangular meshes for steady state of hyperbolic conservation laws
Liang Li, Jun Zhu, Yong-Tao Zhang
High order fast sweeping methods for efficiently solving steady state solutions of hyperbolic PDEs were not available yet on unstructured meshes. In this paper, we extend high orde…
A compact simple HWENO scheme with ADER time discretization for hyperbolic conservation laws I: structured meshes
Dongmi Luo, Shiyi Li, Jianxian Qiu +2
In this paper, a compact and high order ADER (Arbitrary high order using DERivatives) scheme using the simple HWENO method (ADER-SHWENO) is proposed for hyperbolic conservation law…
Improved ParaDiag via low-rank updates and interpolation
Daniel Kressner, Stefano Massei, Junli Zhu
This work is concerned with linear matrix equations that arise from the space-time discretization of time-dependent linear partial differential equations (PDEs). Such matrix equati…
A quasi-conservative discontinuous Galerkin method for multi-component flows using the non-oscillatory kinetic flux
Dongmi Luo, Jianxian Qiu, Jun Zhu +1
In this paper, a high order quasi-conservative discontinuous Galerkin (DG) method using the non-oscillatory kinetic flux is proposed for the 5-equation model of compressible multi-…
Absolutely convergent fixed-point fast sweeping WENO methods for steady state of hyperbolic conservation laws
Liang Li, Jun Zhu, Yong-Tao Zhang
Fixed-point iterative sweeping methods were developed in the literature to efficiently solve steady state solutions of Hamilton-Jacobi equations and hyperbolic conservation laws. S…