Change search
ReferencesLink to record
Permanent link

Direct link
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2015 (English)In: SIAM Journal on Numerical Analysis, ISSN 0036-1429, E-ISSN 1095-7170, Vol. 53, no 4, 1806-1832 p.Article in journal (Refereed) Published
Abstract [en]

The mean curvature vector of a surface is obtained by letting the Laplace-Beltrami operator act on the embedding of the surface in R-3. In this contribution we develop a stabilized finite element approximation of the mean curvature vector of certain piecewise linear surfaces which enjoys first order convergence in L-2. The stabilization involves the jump in the tangent gradient in the direction of the outer co-normals at each edge in the surface mesh. We consider both standard meshed surfaces and so-called cut surfaces that are level sets of piecewise linear distance functions. We prove a priori error estimates and verify the theoretical results numerically.

Place, publisher, year, edition, pages
2015. Vol. 53, no 4, 1806-1832 p.
Keyword [en]
Laplace-Beltrami, tangential calculus, discrete curvature, continuous interior penalty
National Category
Mathematical Analysis
URN: urn:nbn:se:umu:diva-109823DOI: 10.1137/140982696ISI: 000360692100008OAI: diva2:859215
Available from: 2015-10-06 Created: 2015-10-06 Last updated: 2015-10-06Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full text

Search in DiVA

By author/editor
Larson, Mats G.
By organisation
Department of Mathematics and Mathematical Statistics
In the same journal
SIAM Journal on Numerical Analysis
Mathematical Analysis

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: 38 hits
ReferencesLink to record
Permanent link

Direct link