Zobrazeno 1 - 10
of 62
pro vyhledávání: '"Scialó, Stefano"'
We propose a hybridized domain decomposition formulation of the discrete fracture network model, allowing for independent discretization of the individual fractures. A natural norm stabilization, obtained by penalizing the residual measured in the no
Externí odkaz:
http://arxiv.org/abs/2407.18434
In this paper, we discuss the accuracy and the robustness of the mixed Virtual Element Methods when dealing with highly-anisotropic diffusion problems. In particular, we analyze the performances of different approaches which are characterized by diff
Externí odkaz:
http://arxiv.org/abs/2307.16474
The use of orthonormal polynomial bases has been found to be efficient in preventing ill-conditioning of the system matrix in the primal formulation of Virtual Element Methods (VEM) for high values of polynomial degree and in presence of badly-shaped
Externí odkaz:
http://arxiv.org/abs/2304.14755
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