Unfitted finite element methods using bulk meshes for surface partial differential equations
- Submitting institution
-
The University of Leeds
- Unit of assessment
- 11 - Computer Science and Informatics
- Output identifier
- UOA11-2949
- Type
- D - Journal article
- DOI
-
10.1137/130948641
- Title of journal
- SIAM Journal on Numerical Analysis
- Article number
- -
- First page
- 2137
- Volume
- 52
- Issue
- 4
- ISSN
- 0036-1429
- Open access status
- Out of scope for open access requirements
- Month of publication
- August
- Year of publication
- 2014
- URL
-
-
- Supplementary information
-
-
- Request cross-referral to
- -
- Output has been delayed by COVID-19
- No
- COVID-19 affected output statement
- -
- Forensic science
- No
- Criminology
- No
- Interdisciplinary
- Yes
- Number of additional authors
-
2
- Research group(s)
-
D - CSE (Computational Science and Engineering)
- Citation count
- 22
- Proposed double-weighted
- No
- Reserve for an output with double weighting
- No
- Additional information
- A key challenge when numerically solving PDEs on surfaces is to find a mesh fitted to the surface. Alternatively, one may compute with a uniform background mesh with bulk finite element spaces restricted to the surface. Before this work, this alternative approach suffered from poor conditioning of the resulting linear algebra system. By taking a well-posed mathematical formulation we derive a well-conditioned system permitting more efficient solution. Our methodology has been further analyzed and developed by the international research community (doi:10.1093/imanum/dru047, doi:10.1016/j.cma.2016.06.033, doi:10.1137/16m1099388) and applied to tackle problems in fluids (doi:10.1016/j.jcp.2019.01.028), biology (doi:doi.org/10.1016/j.jcp.2019.109126) and engineering (doi:10.1016/j.compfluid.2018.07.022).
- Author contribution statement
- -
- Non-English
- No
- English abstract
- -
