Robust monolithic solvers for the Stokes-Darcy problem with the Darcy equation in primal form

10/14/2021
by   Wietse M. Boon, et al.
0

We construct mesh-independent and parameter-robust monolithic solvers for the coupled primal Stokes-Darcy problem. Three different formulations and their discretizations in terms of conforming and non-conforming finite element methods and finite volume methods are considered. In each case, robust preconditioners are derived using a unified theoretical framework. In particular, the suggested preconditioners utilize operators in fractional Sobolev spaces. Numerical experiments demonstrate the parameter-robustness of the proposed solvers.

READ FULL TEXT
POST COMMENT

Comments

There are no comments yet.

Authors

page 1

page 2

page 3

page 4

01/15/2020

Robust preconditioning for coupled Stokes-Darcy problems with the Darcy problem in primal form

The coupled Darcy-Stokes problem is widely used for modeling fluid trans...
10/31/2019

Fitted front tracking methods for two-phase incompressible Navier–Stokes flow: Eulerian and ALE finite element discretizations

We investigate novel fitted finite element approximations for two-phase ...
08/09/2020

A family of finite element Stokes complexes in three dimensions

We construct finite element Stokes complexes on tetrahedral meshes in th...
01/15/2020

Robust preconditioning of monolithically coupled multiphysics problems

In many applications, one wants to model physical systems consisting of ...
02/06/2020

Robust multigrid methods for nearly incompressible elasticity using macro elements

We present a mesh-independent and parameter-robust multigrid solver for ...
08/30/2021

Partitioned Coupling vs. Monolithic Block-Preconditioning Approaches for Solving Stokes-Darcy Systems

We consider the time-dependent Stokes-Darcy problem as a model case for ...
11/10/2020

Bi-Parametric Operator Preconditioning

We extend the general operator preconditioning framework [R. Hiptmair, C...
This week in AI

Get the week's most popular data science and artificial intelligence research sent straight to your inbox every Saturday.