Enriched P1-Conforming Methods for Elliptic Interface Problems with Implicit Jump Conditions
Joint Authors
Source
Advances in Mathematical Physics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-05-09
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We develop a numerical method for elliptic interface problems with implicit jumps.
To handle the discontinuity, we enrich usual P1-conforming finite element space by adding extra degrees of freedom on one side of the interface.
Next, we define a new bilinear form, which incorporates the implicit jump conditions.
We show that the bilinear form is coercive and bounded if the penalty term is sufficiently large.
We prove the optimal error estimates in both energy-like norm and L2-norm.
We provide numerical experiments.
We observe that our scheme converges with optimal rates, which coincides with our error analysis.
American Psychological Association (APA)
Jo, Gwanghyun& Kwak, Do Y.. 2018. Enriched P1-Conforming Methods for Elliptic Interface Problems with Implicit Jump Conditions. Advances in Mathematical Physics،Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1119354
Modern Language Association (MLA)
Jo, Gwanghyun& Kwak, Do Y.. Enriched P1-Conforming Methods for Elliptic Interface Problems with Implicit Jump Conditions. Advances in Mathematical Physics No. 2018 (2018), pp.1-9.
https://search.emarefa.net/detail/BIM-1119354
American Medical Association (AMA)
Jo, Gwanghyun& Kwak, Do Y.. Enriched P1-Conforming Methods for Elliptic Interface Problems with Implicit Jump Conditions. Advances in Mathematical Physics. 2018. Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1119354
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1119354