A CONSISTENT DISCONTINUOUS BUBBLE SCHEME FOR ELLIPTIC PROBLEMS WITH INTERFACE JUMPS
- Authors
- KWON,IN; Jo ,Gwanghyun
- Issue Date
- Jun-2020
- Publisher
- 한국산업정보응용수학회(Korea Society for Industrial and Applied Mathematics)
- Keywords
- Discontinuous bubble scheme; immersed finite element method; elliptic equation with interface; nonhomogeneous-jump condition; structured grids.
- Citation
- Journal of the Korea Society for Industrial and Applied Mathematics , v.24, no.2, pp 143 - 159
- Pages
- 17
- Indexed
- ESCI
KCI
- Journal Title
- Journal of the Korea Society for Industrial and Applied Mathematics
- Volume
- 24
- Number
- 2
- Start Page
- 143
- End Page
- 159
- URI
- https://scholarworks.bwise.kr/erica/handle/2021.sw.erica/115172
- DOI
- 10.12941/jksiam.2020.24.143
- ISSN
- 1229-9433
1229-0645
- Abstract
- We propose a consistent numerical method for elliptic interface problems with nonhomogeneous jumps. We modify the discontinuous bubble immersed finite element method (DB-IFEM) introduced in (Chang et al. 2011), by adding a consistency term to the bilinear form. We prove optimal error estimates in L 2 and energy like norm for this new scheme.
One of the important technique in this proof is the Bramble-Hilbert type of interpolation error estimate for discontinuous functions. We believe this is a first time to deal with interpolation error estimate for discontinuous functions. Numerical examples with various interfaces are provided. We observe optimal convergence rates for all the examples, while the performance of early DB-IFEM deteriorates for some examples. Thus, the modification of the bilinear form is meaningful to enhance the performance.
- Files in This Item
-
Go to Link
- Appears in
Collections - COLLEGE OF SCIENCE AND CONVERGENCE TECHNOLOGY > ERICA 수리데이터사이언스학과 > 1. Journal Articles
![qrcode](https://api.qrserver.com/v1/create-qr-code/?size=55x55&data=https://scholarworks.bwise.kr/erica/handle/2021.sw.erica/115172)
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.