ROBUST MONOLITHIC SOLVERS FOR THE STOKES-DARCY PROBLEM WITH THE DARCY EQUATION IN PRIMAL FORM

被引：4

作者：

Boon, Wietse M. ^{[1
]}

Koch, Timo ^{[2
]}

Kuchta, Miroslav ^{[3
]}

Mardal, Kent-Andre ^{[2
,3
]}

机构：

[1] KTH Royal Inst Technol, Stockholm, Sweden

[2] Univ Oslo, Dept Math, Oslo, Norway

[3] Simula Res Lab, Oslo, Norway

来源：

SIAM JOURNAL ON SCIENTIFIC COMPUTING | 2022年 / 44卷 / 04期

关键词：

Stokes-Darcy; preconditioning; parameter-robust solvers; DOMAIN DECOMPOSITION METHOD; SADDLE-POINT PROBLEMS; BOUNDARY-CONDITIONS; FLUID-FLOW; ELEMENT; PRECONDITIONERS; DISCRETIZATIONS; INTERFACE; PARALLEL; SURFACE;

D O I：

10.1137/21M1452974

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 nonconforming 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.

引用

页码：B1148 / B1174

页数：27

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