Change search
ReferencesLink to record
Permanent link

Direct link
Characteristic cut finite element methods for convection-diffusion problems on time dependent surfaces
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Numerical Analysis, NA.ORCID iD: 0000-0002-4911-467X
2015 (English)In: Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, E-ISSN 1879-2138, Vol. 293, 431-461 p.Article in journal (Refereed) Published
Abstract [en]

We develop a finite element method for convection-diffusion problems on a given time dependent surface, for instance modeling the evolution of a surfactant. The method is based on a characteristic-Galerkin formulation combined with a piecewise linear cut finite element method in space. The cut finite element method is constructed by embedding the surface in a background grid and then using the restriction to the surface of a finite element space defined on the background grid. The surface is allowed to cut through the background grid in an arbitrary fashion. To ensure stability and well posedness of the resulting algebraic systems of equations, independent of the position of the surface in the background grid, we add a consistent stabilization term. We prove error estimates and present confirming numerical results. (C) 2015 Elsevier B.V. All rights reserved.

Place, publisher, year, edition, pages
Elsevier, 2015. Vol. 293, 431-461 p.
Keyword [en]
Cut finite element method, Surfactants, PDEs on surfaces, Characteristic Galerkin method
National Category
Computational Mathematics Applied Mechanics
URN: urn:nbn:se:kth:diva-174938DOI: 10.1016/j.cma.2015.05.010ISI: 000361475900020ScopusID: 2-s2.0-84935019131OAI: diva2:865236
Swedish Research Council

QC 20151027

Available from: 2015-10-27 Created: 2015-10-09 Last updated: 2015-10-27Bibliographically approved

Open Access in DiVA

No full text

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 MathematicsApplied Mechanics

Search outside of DiVA

GoogleGoogle Scholar
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: 19 hits
ReferencesLink to record
Permanent link

Direct link