Zobrazeno 1 - 10
of 25
pro vyhledávání: '"Grappein, Denise"'
An a posteriori error estimator based on an equilibrated flux reconstruction is proposed for defeaturing problems in the context of finite element discretizations. Defeaturing consists in the simplification of a geometry by removing features that are
Externí odkaz:
http://arxiv.org/abs/2312.15968
A new mathematical model and numerical approach are proposed for the simulation of fluid and chemical exchanges between a growing capillary network and the surrounding tissue, in the context of tumor-induced angiogenesis. Thanks to proper modeling as
Externí odkaz:
http://arxiv.org/abs/2212.00692
Publikováno v:
In Finite Elements in Analysis & Design 15 October 2024 239
In this work, we propose the application of the eXtended Finite Element Method (XFEM) in the context of the coupling between three-dimensional and one-dimensional elliptic problems. In particular, we consider the case in which the 3D-1D coupled probl
Externí odkaz:
http://arxiv.org/abs/2203.07012
A numerical method for coupled 3D-1D problems with discontinuous solutions at the interfaces is derived and discussed. This extends a previous work on the subject where only continuous solutions were considered. Thanks to properly defined function sp
Externí odkaz:
http://arxiv.org/abs/2203.01732
Coupled 3D-1D problems arise in many practical applications, in an attempt to reduce the computational burden in simulations where cylindrical inclusions with a small section are embedded in a much larger domain. Nonetheless the resolution of such pr
Externí odkaz:
http://arxiv.org/abs/2106.04890
A new numerical approach is proposed for the simulation of coupled three-dimensional and one-dimensional elliptic equations (3D-1D coupling) arising from dimensionality reduction of 3D-3D problems with thin inclusions. The method is based on a well p
Externí odkaz:
http://arxiv.org/abs/2102.06601
Publikováno v:
In Computers and Mathematics with Applications 1 December 2023 151:252-270
A new numerical scheme is proposed for flow computation in complex discrete fracture networks. The method is based on a three-field formulation of the Darcy law for the description of the hydraulic head on the fractures and uses a cost functional to
Externí odkaz:
http://arxiv.org/abs/1912.09744
Publikováno v:
In Journal of Computational Physics 1 January 2022 448