Robust flux error estimation of an unfitted Nitsche method for high-contrast interface problems

被引：29

作者：

Burman, Erik ^{[1
]}

Guzman, Johnny ^{[2
]}

Sanchez, Manuel A. ^{[3
]}

Sarkis, Marcus ^{[4
]}

机构：

[1] UCL, Dept Math, London, England

[2] Brown Univ, Div Appl Math, Providence, RI 02912 USA

[3] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA

[4] Worcester Polytech Inst, Dept Math Sci, 100 Inst Rd, Worcester, MA 01609 USA

来源：

IMA JOURNAL OF NUMERICAL ANALYSIS | 2018年 / 38卷 / 02期

关键词：

interface problems; high contrast; unfitted Nitsche method; finite elements; FINITE-ELEMENT-METHOD; A-PRIORI; APPROXIMATION; EQUATIONS;

D O I：

10.1093/imanum/drx017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove an optimal error estimate for the flux variable using a stabilized unfitted Nitsche finite element method applied to an elliptic interface problem with discontinuous constant coefficients. Our result shows explicitly that this error estimate is totally independent of the diffusion coefficients.

引用

页码：646 / 668

页数：23

共 23 条

[1]

Adjerid S, 2014, INT J NUMER ANAL MOD, V11, P541

[2] FINITE ELEMENT METHOD FOR ELLIPTIC EQUATIONS WITH DISCONTINUOUS COEFFICIENTS [J].