Change search
ReferencesLink to record
Permanent link

Direct link
A Cut Finite Element Method for Coupled Bulk-Surface Problems on Time-Dependent Domains
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Numerical Analysis, NA.
2016 (English)In: Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, E-ISSN 1879-2138, Vol. 307, 96-116 p.Article in journal (Refereed) Published
Abstract [en]

In this contribution we present a new computational method for coupled bulk-surface problems on time-dependent domains. The method is based on a space–time formulation using discontinuous piecewise linear elements in time and continuous piecewise linear elements in space on a fixed background mesh. The domain is represented using a piecewise linear level set function on the background mesh and a cut finite element method is used to discretize the bulk and surface problems. In the cut finite element method the bilinear forms associated with the weak formulation of the problem are directly evaluated on the bulk domain and the surface defined by the level set, essentially using the restrictions of the piecewise linear functions to the computational domain. In addition a stabilization term is added to stabilize convection as well as the resulting algebraic system that is solved in each time step. We show in numerical examples that the resulting method is accurate and stable and results in well conditioned algebraic systems independent of the position of the interface relative to the background mesh.

Place, publisher, year, edition, pages
Elsevier, 2016. Vol. 307, 96-116 p.
National Category
Computational Mathematics
URN: urn:nbn:se:kth:diva-189604DOI: 10.1016/j.cma.2016.04.012ISI: 000378055900005ScopusID: 2-s2.0-84968680311OAI: diva2:947361

QC 20160714

Available from: 2016-07-07 Created: 2016-07-07 Last updated: 2016-07-15Bibliographically approved

Open Access in DiVA

fulltext(5368 kB)12 downloads
File information
File name FULLTEXT01.pdfFile size 5368 kBChecksum SHA-512
Type fulltextMimetype application/pdf

Other links

Publisher's full textScopus

Search in DiVA

By author/editor
Zahedi, Sara
By organisation
Numerical Analysis, NA
In the same journal
Computer Methods in Applied Mechanics and Engineering
Computational Mathematics

Search outside of DiVA

GoogleGoogle Scholar
Total: 12 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 15 hits
ReferencesLink to record
Permanent link

Direct link