An Immersed Finite Element Method for Planar Elasticity Interface Problem

Angran Liu

doi:10.9734/jamcs/2019/v34i630232

Research Article Open access CC BY 4.0

An Immersed Finite Element Method for Planar Elasticity Interface Problem

Angran Liu

Journal of Advances in Mathematics and Computer Science · pp. 1–16 · Published 28 Jan 2020

10.9734/jamcs/2019/v34i630232

Abstract

This paper presents the P1/CR immersed finite element (IFE) method to solve planar elasticity interface problem. By adding some stabilisation terms on the edges of interface elements, the stability of the discrete formulation and a priori error estimate in an energy norm are presented. Finally, numerical examples are given to confirm our theoretical results.

Interface problem IFE method penalty terms.

Cited by 0

No indexed citations yet.

Access this article

View at publisher

Cite this article

Angran Liu (2020). An Immersed Finite Element Method for Planar Elasticity Interface Problem. Journal of Advances in Mathematics and Computer Science , 1–16. https://doi.org/10.9734/jamcs/2019/v34i630232

Affiliations

Angran Liu — Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Jiangsu, 210023, China.

Metrics

6
Views: 0
Downloads: 0
Citations: 7
Outbound

Full metrics

Article metrics

Real usage data collected on this platform.

6

Page views

0

PDF downloads

7

Outbound clicks

0

Citations

Views over time

Views by country

Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".

Traffic sources

Referring site, by host.

Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.