APPROXIMATIONS BY MINI MIXED FINITE ELEMENT FOR THE STOKES-DARCY COUPLED PROBLEM ON CURVED DOMAINS

被引：0

作者：

Gabriela Armentano, Maria ^{[1
,2
]}

Lorena Stockdale, Maria ^{[1
]}

机构：

[1] Univ Buenos Aires, Fac Ciencias Exactas & Nat, Dept Matemat, RA-1428 Buenos Aires, DF, Argentina

[2] Consejo Nacl Invest Cient & Tecn, IMAS, RA-1428 Buenos Aires, DF, Argentina

来源：

INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING | 2021年 / 18卷 / 02期

关键词：

Stokes-Darcy problem; mixed finite elements; curved elements; stability analysis; BOUNDARY-CONDITIONS; FLUID-FLOW;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work we solve a Stokes-Darcy coupled problem in a plane curved domain using curved elements. We approximate the velocity-pressure pair by applying the MINI-element method, for the whole coupled problem. We show that, under appropriate assumptions about the curved domain, the proposed method has optimal accuracy, with respect to solution regularity, and has a simple implementation. We also present numerical tests which show the good performance of the proposed method.

引用

页码：203 / 234

页数：32

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