Zobrazeno 1 - 10
of 186
pro vyhledávání: '"DA VEIGA, L. BEIRÃO"'
In this work we design a novel $C^1$-conforming virtual element method of arbitrary order $k \geq 2$, to solve the biharmonic problem on a domain with curved boundary and internal curved interfaces in two dimensions. By introducing a suitable stabili
Externí odkaz:
http://arxiv.org/abs/2408.17381
We study the convergence analysis of a finite element method for the approximation of solutions to a seven-fields formulation of a magnetohydrodynamics model, which preserves the energy of the system, and the magnetic and cross helicities on the disc
Externí odkaz:
http://arxiv.org/abs/2407.19748
We propose and analyze two convection quasi-robust and pressure robust finite element methods for a fully nonlinear time-dependent magnetohydrodynamics problem. The schemes make use of suitable upwind and CIP stabilizations to handle the fluid and ma
Externí odkaz:
http://arxiv.org/abs/2405.05434
In this paper, we design and analyze a Virtual Element discretization for the steady motion of non-Newtonian, incompressible fluids. A specific stabilization, tailored to mimic the monotonicity and boundedness properties of the continuous operator, i
Externí odkaz:
http://arxiv.org/abs/2403.03886
The Virtual Element Method for diffusion-convection-reaction problems is considered. In order to design a quasi-robust scheme also in the convection-dominated regime, a Continuous Interior Penalty approach is employed. Due to the presence of polynomi
Externí odkaz:
http://arxiv.org/abs/2307.04555
We introduce a pressure robust Finite Element Method for the linearized Magnetohydrodynamics equations in three space dimensions, which is provably quasi-robust also in the presence of high fluid and magnetic Reynolds numbers. The proposed scheme use
Externí odkaz:
http://arxiv.org/abs/2306.15478
In the present contribution we propose a novel conforming Finite Element scheme for the time-dependent Navier-Stokes equation, which is proven to be both convection quasi-robust and pressure robust. The method is built combining a "divergence-free" v
Externí odkaz:
http://arxiv.org/abs/2302.13952
We design an adaptive virtual element method (AVEM) of lowest order over triangular meshes with hanging nodes in 2d, which are treated as polygons. AVEM hinges on the stabilization-free a posteriori error estimators recently derived in [8]. The cruci
Externí odkaz:
http://arxiv.org/abs/2302.13672
In the present work we propose and analyze a fully coupled virtual element method of high order for solving the two dimensional nonstationary Boussinesq system in terms of the stream-function and temperature fields. The discretization for the spatial
Externí odkaz:
http://arxiv.org/abs/2209.12311
We prove stability bounds for Stokes-like virtual element spaces in two and three dimensions. Such bounds are also instrumental in deriving optimal interpolation estimates. Furthermore, we develop some numerical tests in order to investigate the beha
Externí odkaz:
http://arxiv.org/abs/2207.09844