A-posteriori-steered and adaptive ρ-robust multigrid solvers

Autor: Miraçi, Ani

Publikováno v: Numerical Analysis [math.NA]. Sorbonne Université, 2020. English. ⟨NNT : 2020SORUS178⟩

In this thesis, we consider systems of linear algebraic equations arising from discretizations of second-order elliptic partial differential equations using finite elements of arbitrary polynomial degree. In Chapter 1, an a posteriori estimator of th

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::8f99e03491d2e3f792c3a0563a2560f7
https://tel.archives-ouvertes.fr/tel-03334270v2/file/MIRACI_Ani_2020.pdf

A-posteriori-steered and adaptive $p$-robust multigrid solvers

Autor: Miraçi, Ani

Publikováno v: Numerical Analysis [math.NA]. Sorbonne Université, 2020. English. ⟨NNT : 2020SORUS178⟩
Numerical Analysis [math.NA]. INRIA Paris; Sorbonne Universite, 2020. English

In this thesis, we consider systems of linear algebraic equations arising from discretizations of second-order elliptic partial differential equations using finite elements of arbitrary polynomial degree. In Chapter 1, we propose an a posteriori esti

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::ee91db48379ba4885fd7a257132d3236
https://tel.archives-ouvertes.fr/tel-03334270v3/document

Éléments finis hp adaptatifs avec contraction d’erreur garantie et solveurs multi-niveaux inexacts

Autor: Daniel, Patrik

Publikováno v: Numerical Analysis [math.NA]. Sorbonne Université, 2019. English. ⟨NNT : 2019SORUS475⟩

We propose new practical adaptive refinement algorrithms for conforming hp-finite element approximations of elliptic problems. We consider the use of both exact and inexact solevsr within the established framework of adaptive methods consisting of fo

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::eee26142d70705b58e1e62119833f773
https://inria.hal.science/tel-02104982