Cristin-resultat-ID: 1800176
Sist endret: 22. mars 2021, 12:04
NVI-rapporteringsår: 2020
Resultat
Vitenskapelig artikkel
2020

A Multimesh Finite Element Method for the Stokes Problem

Bidragsytere:
  • August Johansson
  • Mats Larson og
  • Anders Logg

Tidsskrift

Lecture Notes in Computational Science and Engineering
ISSN 1439-7358
NVI-nivå 1

Om resultatet

Vitenskapelig artikkel
Publiseringsår: 2020
Publisert online: 2020
Trykket: 2020
Sider: 189 - 198
Open Access

Importkilder

Scopus-ID: 2-s2.0-85081755541

Beskrivelse Beskrivelse

Tittel

A Multimesh Finite Element Method for the Stokes Problem

Sammendrag

The multimesh finite element method enables the solution of partial dif- ferential equations on a computational mesh composed by multiple arbitrarily over- lapping meshes. The discretization is based on a continuous–discontinuous function space with interface conditions enforced by means of Nitsche’s method. In this con- tribution, we consider the Stokes problem as a first step towards flow applications. The multimesh formulation leads to so called cut elements in the underlying meshes close to overlaps. These demand stabilization to ensure coercivity and stability of the stiffness matrix. We employ a consistent least-squares term on the overlap to ensure that the inf-sup condition holds. We here present the method for the Stokes problem, discuss the implementation, and verify that we have optimal convergence.

Bidragsytere

August Johansson

  • Tilknyttet:
    Forfatter
    ved Mathematics and Cybernetics ved SINTEF AS
  • Tilknyttet:
    Forfatter
    ved Simula Research Laboratory

Mats Larson

  • Tilknyttet:
    Forfatter
    ved Umeå universitet

Anders Logg

  • Tilknyttet:
    Forfatter
    ved Chalmers tekniska högskola
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