NXFEM generalization for elliptic interface problems discretization
type: Dataset
description: This thesis focuses on the generalization of the NXFEM method proposed by A. and P. Hansbo for elliptic interface problem. Numerical modeling and simulation of flow in fractured media are at the heart of many applications, such as petroleum and porous media (reservoir modeling, presence of faults, signal propagation, identification of layers ...), aerospace (problems of shock, rupture), civil engineering (concrete cracking), but also in cell biology (deformation of red blood cells). In addition, many research projects require the development of robust methods for the consideration of singularities, which is one of the motivations and objectives of the Concha team and of this thesis. First a modification of this method was proposed to obtain a robust method not only with respect to the mesh-interface geometry, but also with respect to the diffusion parameters. We then looked to its generalization to any type of 2D-3D meshes (triangles, quadrilaterals, tetrahedra, hexahedra), and for any type of finites elements (conforming, nonconforming, Galerkin discontinuous) for plane and curved interfaces. The applications have been referred to the flow problems in fractured porous media : adaptation of NXFEM method to solve an asymptotic model of faults, to unsteady problems, transport problems, or to multi-fractured domains.
identifier: NNT: 2013PAUU3025
issued: 2026-05-07T23:36:17.750343
language: fr
modified: 2026-05-07T23:36:17.750348
contact point: Organization
  fn: CCSD
keyword: 2d-3d-meshes
keyword: adaptive-methods
keyword: generalisation-a-lordre-superieur
keyword: high-order-generalization
keyword: infoeu-reposemanticsdoctoralthesis
keyword: infoinfo-mocomputer-science-csmodeling-and-simulation
keyword: maillages-2d-3d
keyword: mathmath-apmathematics-mathanalysis-of-pdes-mathap
keyword: mathmath-namathematics-mathnumerical-analysis-mathna
keyword: methodes-adaptatives
keyword: nxfem
keyword: theses
landing page: https://theses.hal.science/tel-00913387

NXFEM generalization for elliptic interface problems discretization
type: Distribution
format: HTML
issued: 2026-05-07T23:36:17.751892
modified: 2026-05-07T23:36:17.729072
access URL: https://theses.hal.science/tel-00913387

test_moissonnage_selune
type: Agent