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SIAMNUM
2016
4 years 3 months ago
A Higher Order Finite Element Method for Partial Differential Equations on Surfaces
A new higher order finite element method for elliptic partial differential equations on a stationary smooth surface Γ is introduced and analyzed. We assume that Γ is characteri...
Jörg Grande, Arnold Reusken
SIAMAM
2008
121views more  SIAMAM 2008»
9 years 7 months ago
A Level Set Approach to Anisotropic Surface Evolution with Free Adatoms
We variationally derive a thermodynamically consistent model for surface evolution under the influence of free adatoms. The resulting system of nonlinear partial differential equat...
Christina Stöcker, Axel Voigt
CAGD
2004
168views more  CAGD 2004»
9 years 7 months ago
A finite element method for surface restoration with smooth boundary conditions
In surface restoration usually a damaged region of a surface has to be replaced by a surface patch which restores the region in a suitable way. In particular one aims for C1-conti...
Ulrich Clarenz, Udo Diewald, G. Dziuk, Martin Rump...
CG
2004
Springer
9 years 7 months ago
Surface processing methods for point sets using finite elements
We present a framework for processing point-based surfaces via partial differential equations (PDEs). Our framework efficiently and effectively brings well-known PDE-based process...
Ulrich Clarenz, Martin Rumpf, Alexandru Telea
SIAMNUM
2010
149views more  SIAMNUM 2010»
9 years 1 months ago
Mixed Finite Element Methods for Incompressible Flow: Stationary Navier-Stokes Equations
In [Z. Cai, C. Tong, P. S. Vassilevski, and C. Wang, Numer. Methods Partial Differential Equations, to appear], the authors developed and analyzed a mixed finite element method for...
Zhiqiang Cai, Chunbo Wang, Shun Zhang
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