Zobrazeno 1 - 10
of 149
pro vyhledávání: '"Bertrand, Fleurianne"'
This contribution shows how a-posteriori error estimators based on equilibrated fluxes - H(div) functions fulfilling the underlying conservation law - can be implemented in FEniCSx. Therefore, dolfinx_eqlb is introduced, its algorithmic structure is
Externí odkaz:
http://arxiv.org/abs/2410.09764
Autor:
Bertrand, Fleurianne, Ruas, Vitoriano
In arXiv:2307.03503 [math.NA] we commenced to study a variant of the Raviart-Thomas mixed finite element method for triangles, to solve second order elliptic equations in a curved domain with Neumann or mixed boundary conditions. It is well known tha
Externí odkaz:
http://arxiv.org/abs/2312.09098
Autor:
Bertrand, Fleurianne, Ruas, Vitoriano
Several physical problems modeled by second-order elliptic equations can be efficiently solved using mixed finite elements of the Raviart-Thomas family RTk for N-simplexes, introduced in the seventies. In case Neumann conditions are prescribed on a c
Externí odkaz:
http://arxiv.org/abs/2307.03503
A nonlinear sea-ice problem is considered in a least-squares finite element setting. The corresponding variational formulation approximating simultaneously the stress tensor and the velocity is analysed. In particular, the least-squares functional is
Externí odkaz:
http://arxiv.org/abs/2305.11635
We discuss the approximation of the eigensolutions associated with the Maxwell eigenvalues problem in the framework of least-squares finite elements. We write the Maxwell curl curl equation as a system of two first order equation and design a novel l
Externí odkaz:
http://arxiv.org/abs/2305.08996
We use a Gaussian Process Regression (GPR) strategy that was recently developed [3,16,17] to analyze different types of curves that are commonly encountered in parametric eigenvalue problems. We employ an offline-online decomposition method. In the o
Externí odkaz:
http://arxiv.org/abs/2303.18064
In this article, we propose a data-driven reduced basis (RB) method for the approximation of parametric eigenvalue problems. The method is based on the offline and online paradigms. In the offline stage, we generate snapshots and construct the basis
Externí odkaz:
http://arxiv.org/abs/2301.08934
Existing a priori convergence results of the discontinuous Petrov-Galerkin method to solve the problem of linear elasticity are improved. Using duality arguments, we show that higher convergence rates for the displacement can be obtained. Post-proces
Externí odkaz:
http://arxiv.org/abs/2209.08859
Autor:
Alghamdi, Moataz M., Bertrand, Fleurianne, Boffi, Daniele, Bonizzoni, Francesca, Halim, Abdul, Priyadarshi, Gopal
In this paper a novel numerical approximation of parametric eigenvalue problems is presented. We motivate our study with the analysis of a POD reduced order model for a simple one dimensional example. In particular, we introduce a new algorithm capab
Externí odkaz:
http://arxiv.org/abs/2207.06145
Publikováno v:
Numer. Math. 154 (2023), 369-408
The known a posteriori error analysis of hybrid high-order methods (HHO) treats the stabilization contribution as part of the error and as part of the error estimator for an efficient and reliable error control. This paper circumvents the stabilizati
Externí odkaz:
http://arxiv.org/abs/2207.01038