AN UNFITTED hp-INTERFACE PENALTY FINITE ELEMENT METHOD FOR ELLIPTIC INTERFACE PROBLEMS

An hp version of interface penalty finite element method (hp-IPFEM) is proposed to solve the elliptic interface problems in two and three dimensions on unfitted meshes. Error estimates in broken H¹ norm, which are optimal with respect to h and suboptimal with respect to p by half an order of p, are...

Full description

Saved in:
Bibliographic Details
Published inJournal of computational mathematics Vol. 37; no. 3; pp. 316 - 339
Main Authors Wu, Haijun, Xiao, Yuanming
Format Journal Article
LanguageEnglish
Published Chinese Academy of Mathematices and Systems Science (AMSS) Chinese Academy of Sciences 01.01.2019
Online AccessGet full text
ISSN0254-9409
1991-7139
DOI10.4208/jcm.1802-m2017-0219

Cover

More Information
Summary:An hp version of interface penalty finite element method (hp-IPFEM) is proposed to solve the elliptic interface problems in two and three dimensions on unfitted meshes. Error estimates in broken H¹ norm, which are optimal with respect to h and suboptimal with respect to p by half an order of p, are derived. Both symmetric and non-symmetric IPFEM are considered. Error estimates in L² norm are proved by the duality argument. All the estimates are independent of the location of the interface relative to the meshes. Numerical examples are provided to illustrate the performance of the method. This paper is adapted from the work originally post on arXiv.com by the same authors (arXiv:1007.2893vl).
ISSN:0254-9409
1991-7139
DOI:10.4208/jcm.1802-m2017-0219