NUMERICAL ANALYSIS OF A STOKES INTERFACE PROBLEM BASED ON FORMULATION USING THE CHARACTERISTIC FUNCTION

被引：1

作者：

Sugitani, Yoshiki ^{[1
]}

机构：

[1] Tohoku Univ, WPI AIMR, Aoba Ku, 2-1-1 Katahira, Sendai, Miyagi 9808577, Japan

来源：

APPLICATIONS OF MATHEMATICS | 2017年 / 62卷 / 05期

关键词：

interface problem; Stokes equation; finite element method; FLOW;

D O I：

10.21136/AM.2017.0357-16

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Numerical analysis of a model Stokes interface problem with the homogeneous Dirichlet boundary condition is considered. The interface condition is interpreted as an additional singular force field to the Stokes equations using the characteristic function. The finite element method is applied after introducing a regularization of the singular source term. Consequently, the error is divided into the regularization and discretization parts which are studied separately. As a result, error estimates of order h(1/2) in H-1 x L-2 norm for the velocity and pressure, and of order h in L-2 norm for the velocity are derived. Those theoretical results are also verified by numerical examples.

引用

页码：459 / 476

页数：18

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