Output details
11 - Computer Science and Informatics
University of Leeds
Article title
Finite element analysis for a coupled bulk–surface partial differential equation
Type
D - Journal article
Title of journal
IMA Journal of Numerical Analysis
Article number
-
Volume number
33
Issue number
2
First page of article
377
ISSN of journal
0272-4979
Year of publication
2012
URL
-
Number of additional authors
1
Additional information
<13>Many problems in biology, fluid dynamics, materials science, etc. require solutions to PDEs in a bulk region coupled to a surface PDE. This work is the first to formulate such a coupled problem in a rigorous functional analytic setting, allowing a finite element discretisation, with error estimates that are both optimal and robust. The work led to Ranner's EPSRC Doctoral Prize Fellowship and invited talks (e.g. ENUMATH 2011). As the only method based upon sound mathematical foundations, we expect this method, and its analytical setting, will become a standard tool in the study of coupled bulk-surface problems.
Interdisciplinary
-
Cross-referral requested
-
Research group
None
Citation count
1
Proposed double-weighted
No
Double-weighted statement
-
Reserve for a double-weighted output
No
Non-English
No
English abstract
-
