Zobrazeno 1 - 10
of 217
pro vyhledávání: '"KREISS, GUNILLA"'
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 based on the discontinuous Galerkin framework and use a regular backg
Externí odkaz:
http://arxiv.org/abs/2404.13936
Autor:
Wang, Siyang, Kreiss, Gunilla
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. The hybridization combines computational efficiency of finite difference
Externí odkaz:
http://arxiv.org/abs/2210.13577
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 estimates are derived for varying PML damping for both the discrete and the c
Externí odkaz:
http://arxiv.org/abs/2206.08507
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 both one and two space dimensions, and for moving interfaces in one sp
Externí odkaz:
http://arxiv.org/abs/2201.07018
Autor:
Duru, Kenneth, Kreiss, Gunilla
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 method which, when stable, can provide a domain truncation scheme which
Externí odkaz:
http://arxiv.org/abs/2201.03733
Autor:
Fu, Pei, Kreiss, Gunilla
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 used to stabilize the scheme for small cut elements. The analysis sho
Externí odkaz:
http://arxiv.org/abs/2104.05446
We develop a new finite difference method for the wave equation in second order form. The finite difference operators satisfy a summation-by-parts (SBP) property. With boundary conditions and material interface conditions imposed weakly by the simult
Externí odkaz:
http://arxiv.org/abs/2103.02006
We present a stable discontinuous Galerkin (DG) method with a perfectly matched layer (PML) for three and two space dimensional linear elastodynamics, in velocity-stress formulation, subject to well-posed linear boundary conditions. First, we conside
Externí odkaz:
http://arxiv.org/abs/1910.06477
Autor:
Holmgren, Hanna, Kreiss, Gunilla
The conventional no-slip boundary condition leads to a non-integrable stress singularity at a contact line. This is a main challenge in numerical simulations of two-phase flows with moving contact lines. We derive a two-dimensional hydrodynamic model
Externí odkaz:
http://arxiv.org/abs/1905.08788
Atomistic-continuum multiscale modelling is becoming an increasingly popular tool for simulating the behaviour of materials due to its computational efficiency and reliable accuracy. In the case of ferromagnetic materials, the atomistic approach hand
Externí odkaz:
http://arxiv.org/abs/1901.11401