Zobrazeno 1 - 10
of 204
pro vyhledávání: '"65N12, 65N22"'
In this article, a hybridizable discontinuous Galerkin (HDG) method is proposed and analyzed for the Klein-Gordon equation with local Lipschitz-type non-linearity. {\it A priori} error estimates are derived, and it is proved that approximations of th
Externí odkaz:
http://arxiv.org/abs/2411.15572
Autor:
Cui, Xuewei, Huang, Xuehai
This paper focuses on decoupled finite element methods for the fourth-order exterior differential equation. Based on differential complexes and the Helmholtz decomposition, the fourth-order exterior differential equation is decomposed into two second
Externí odkaz:
http://arxiv.org/abs/2410.09689
In this paper we prove that for stable semi-discretizations of the wave equation for the WaveHoltz iteration is guaranteed to converge to an approximate solution of the corresponding frequency domain problem, if it exists. We show that for certain cl
Externí odkaz:
http://arxiv.org/abs/2407.06929
Autor:
Fumagalli, Ivan
The modeling of the interaction between a poroelastic medium and a fluid in a hollow cavity is crucial for understanding, e.g., the multiphysics flow of blood and Cerebrospinal Fluid (CSF) in the brain, the supply of blood by the coronary arteries in
Externí odkaz:
http://arxiv.org/abs/2406.14041
The multiscale hybrid-mixed (MHM) method consists of a multi-level strategy to approximate the solution of boundary value problems with heterogeneous coefficients. In this context, we propose a family of low-order finite elements for the linear elast
Externí odkaz:
http://arxiv.org/abs/2403.16890
Autor:
Bacuta, Constantin, Bacuta, Cristina
We consider a model convection-diffusion problem and present useful connections between the finite differences and finite element discretization methods. We introduce a general upwinding Petrov-Galerkin discretization based on bubble modification of
Externí odkaz:
http://arxiv.org/abs/2402.03574
New low-order $H(\textrm{div})$-conforming finite elements for symmetric tensors are constructed in arbitrary dimension. The space of shape functions is defined by enriching the symmetric quadratic polynomial space with the $(d+1)$-order normal-norma
Externí odkaz:
http://arxiv.org/abs/2310.13920
A comprehensive mathematical model of the multiphysics flow of blood and Cerebrospinal Fluid (CSF) in the brain can be expressed as the coupling of a poromechanics system and Stokes' equations: the first describes fluids filtration through the cerebr
Externí odkaz:
http://arxiv.org/abs/2310.07651
Computational fluid dynamics (CFD) simulations of viscous fluids described by the Navier-Stokes equations are considered. Depending on the Reynolds number of the flow, the Navier-Stokes equations may exhibit a highly nonlinear behavior. The system of
Externí odkaz:
http://arxiv.org/abs/2310.06717
We introduce a new discretization based on the Trefftz-DG method for solving the Stokes equations. Discrete solutions of a corresponding method fulfill the Stokes equation pointwise within each element and yield element-wise divergence-free solutions
Externí odkaz:
http://arxiv.org/abs/2306.14600