Title
Effects Of Numerical Integration On Dlm/Fd Method For Solving Interface Problems With Body-Unfitted Meshes
Abstract
In this paper, the effects of different numerical integration schemes on the distributed Lagrange multiplier/fictitious domain (DLM/FD) method with body-unfitted meshes are studied for solving different types of interface problems: elliptic-, Stokes- and Stokes/elliptic-interface problems. Commonly-used numerical integration schemes, compound type formulas and a specific subgrid integration scheme are presented for the mixed finite element approximation and the comparison between them is illustrated in numerical experiments, showing that different numerical integration schemes have significant effects on approximation errors of the DLM/FD finite element method for different types of interface problems, especially for Stokes- and Stokes/elliptic-interface problems, and that the subgrid integration scheme always results in numerical solutions with the best accuracy.
Year
DOI
Venue
2019
10.1007/978-3-030-22747-0_41
COMPUTATIONAL SCIENCE - ICCS 2019, PT IV
Field
DocType
Volume
Applied mathematics,Mathematical optimization,Polygon mesh,Computer science,Lagrange multiplier,Numerical integration,Finite element method
Conference
11539
ISSN
Citations 
PageRank 
0302-9743
0
0.34
References 
Authors
0
5
Name
Order
Citations
PageRank
Cheng Wang162.31
Pengtao Sun22810.06
Ri H. Lan300.68
Hao Shi4309.58
Fei Xu500.34