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

Autor: Miraçi, Ani

Publikováno v: 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 estim

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od_______212::bb0554e44e0f9ed0e3ba3b4af6a8fc73
https://hal.archives-ouvertes.fr/tel-03152913

Adaptive hp-finite elements with guaranteed error contraction and inexact multilevel solvers

Autor: Daniel, Patrik

Publikováno v: Numerical Analysis [math.NA]. Sorbonne Université; INRIA Paris, 2019. English

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

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od_______212::afab182d3c0a03b71cc523f197694fcc
https://hal.inria.fr/tel-02104982/document

Adaptive linear solution process for single-phase Darcy flow

Autor: Zakariae Jorti, Laura Grigori, Soleiman Yousef, Ani Anciaux-Sedrakian

Publikováno v: Oil & Gas Science and Technology, Vol 75, p 54 (2020)
Oil & Gas Science and Technology-Revue d'IFP Energies nouvelles
Oil & Gas Science and Technology-Revue d'IFP Energies nouvelles, Institut Français du Pétrole, 2020, 75, ⟨10.2516/ogst/2020050⟩
Oil & Gas Science and Technology-Revue d'IFP Energies nouvelles, 2020, 75, ⟨10.2516/ogst/2020050⟩

International audience; This article presents an adaptive approach for solving linear systems arising from self-adjoint partial differential equations (PDE) problems discretized by cell-centered finite volume method and stemming from single-phase flo

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::747916e1b5a7dd5fcbb6668751aa3508
https://ogst.ifpenergiesnouvelles.fr/articles/ogst/full_html/2020/01/ogst190367/ogst190367.html

Résolution rapide de systèmes linéaires creux avec choix adaptatif de préconditionneurs

Autor: Jorti, Zakariae

Publikováno v: General Mathematics [math.GM]. Sorbonne Université, 2019. English. ⟨NNT : 2019SORUS149⟩

This thesis analyzes the use of adaptive preconditioned Krylov methods in applications which can be modeled by partial differential equations. Preconditioning is generally essential for efficiently solving large sparse nonlinear systems of equations.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od______2592::371451c82306f0a33f22eaf85597e557
https://tel.archives-ouvertes.fr/tel-02425679v2/file/JORTI_Zakariae_2019.pdf