Zobrazeno 1 - 10
of 137
pro vyhledávání: '"Xia, Yinhua"'
When simulating hyperbolic conservation laws with discontinuous solutions, high-order linear numerical schemes often produce undesirable spurious oscillations. In this paper, we propose a jump filter within the discontinuous Galerkin (DG) method to m
Externí odkaz:
http://arxiv.org/abs/2407.19169
This paper introduces well-balanced path-conservative discontinuous Galerkin (DG) methods for two-layer shallow water equations, ensuring exactness for both still water and moving water equilibrium steady states. The approach involves approximating t
Externí odkaz:
http://arxiv.org/abs/2403.11409
In this paper, we develop a general framework for the design of the arbitrary high-order well-balanced discontinuous Galerkin (DG) method for hyperbolic balance laws, including the compressible Euler equations with gravitation and the shallow water e
Externí odkaz:
http://arxiv.org/abs/2402.01131
This paper proposes and tests the first-ever reduced basis warm-start iterative method for the parametrized linear systems, exemplified by those discretizing the parametric partial differential equations. Traditional iterative methods are usually use
Externí odkaz:
http://arxiv.org/abs/2311.13862
Autor:
Hou, Shijin, Xia, Yinhua
In this paper, by introducing a reconstruction operator based on the Legendre moments, we construct a reduced discontinuous Galerkin (RDG) space that could achieve the same approximation accuracy but using fewer degrees of freedom (DoFs) than the sta
Externí odkaz:
http://arxiv.org/abs/2306.06636
Publikováno v:
Journal of Computational Physics, 473 (2023), Article number: 111758
This paper develops the structure-preserving finite volume weighted essentially non-oscillatory (WENO) hybrid schemes for the shallow water equations under the arbitrary Lagrangian-Eulerian (ALE) framework, dubbed as ALE-WENO schemes. The WENO hybrid
Externí odkaz:
http://arxiv.org/abs/2208.06588
Autor:
Wei, Lei, Xia, Yinhua
Publikováno v:
In Journal of Computational Physics 15 October 2024 515
Publikováno v:
In Journal of Computational Physics 1 January 2025 520
Repeatedly solving the parameterized optimal mass transport (pOMT) problem is a frequent task in applications such as image registration and adaptive grid generation. It is thus critical to develop a highly efficient reduced solver that is equally ac
Externí odkaz:
http://arxiv.org/abs/2112.01878
Publikováno v:
In Applied Mathematics Letters December 2024 158