Zobrazeno 1 - 10
of 351
pro vyhledávání: '"65N30 65N12"'
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 work we develop and analyze a Reynolds-semi-robust and pressure-robust Hybrid High-Order (HHO) discretization of the incompressible Navier--Stokes equations. Reynolds-semi-robustness refers to the fact that, under suitable regularity assumpti
Externí odkaz:
http://arxiv.org/abs/2409.07037
Autor:
Li, Jia, Wu, Shuonan
A unified construction of canonical $H^m$-nonconforming finite elements is developed for $n$-dimensional simplices for any $m, n \geq 1$. Consistency with the Morley-Wang-Xu elements [Math. Comp. 82 (2013), pp. 25-43] is maintained when $m \leq n$. I
Externí odkaz:
http://arxiv.org/abs/2409.06134
We present a wavenumber-explicit analysis of FEM-BEM coupling methods for time-harmonic Helmholtz problems proposed in arXiv:2004.03523 for conforming discretizations and in arXiv:2105.06173 for discontinuous Galerkin (DG) volume discretizations. We
Externí odkaz:
http://arxiv.org/abs/2407.04428
We consider a fictitious domain formulation for fluid-structure interaction problems based on a distributed Lagrange multiplier to couple the fluid and solid behaviors. How to deal with the coupling term is crucial since the construction of the assoc
Externí odkaz:
http://arxiv.org/abs/2406.03981
Autor:
Ainsworth, Mark, Parker, Charles
We develop a method to compute $H^2$-conforming finite element approximations in both two and three space dimensions using readily available finite element spaces. This is accomplished by deriving a novel, equivalent mixed variational formulation inv
Externí odkaz:
http://arxiv.org/abs/2406.00338
Autor:
Meddahi, Salim
A variational formulation based on velocity and stress is developed for linear fluid-structure interaction (FSI) problems. The well-posedness and energy stability of this formulation are established. To discretize the problem, a hybridizable disconti
Externí odkaz:
http://arxiv.org/abs/2404.13578
In this work we study the stability, convergence, and pressure-robustness of discretization methods for incompressible flows with hybrid velocity and pressure. Specifically, focusing on the Stokes problem, we identify a set of assumptions that yield
Externí odkaz:
http://arxiv.org/abs/2404.12732
Autor:
Führer, Thomas, Paredes, Diego
For a reaction-dominated diffusion problem we study a primal and a dual hybrid finite element method where weak continuity conditions are enforced by Lagrange multipliers. Uniform robustness of the discrete methods is achieved by enriching the local
Externí odkaz:
http://arxiv.org/abs/2404.12956
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