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SIAMNUM
2010
105views more  SIAMNUM 2010»
8 years 5 months ago
Convergence Analysis for Incompressible Generalized Newtonian Fluid Flows with Nonstandard Anisotropic Growth Conditions
We study equations to describe incompressible generalized Newtonian fluids, where the extra stress tensor satisfies a nonstandard anisotropic asymptotic growth condition. An implic...
Erich Carelli, Jonas Haehnle, Andreas Prohl
MOC
2010
8 years 5 months ago
Approximation of nonlinear wave equations with nonstandard anisotropic growth conditions
Weak solutions for nonlinear wave equations involving the p(x)-Laplacian, for p : (1, ) are constructed as appropriate limits of solutions of an implicit finite element discretiz...
Jonas Haehnle, Andreas Prohl
MOC
2000
102views more  MOC 2000»
8 years 11 months ago
Finite element approximation for equations of magnetohydrodynamics
Abstract. We consider the equations of stationary incompressible magnetohydrodynamics posed in three dimensions, and treat the full coupled system of equations with inhomogeneous b...
Matthias Wiedmer
CG
2004
Springer
8 years 11 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
SIAMSC
2008
146views more  SIAMSC 2008»
8 years 11 months ago
A Continuous Interior Penalty Method for Viscoelastic Flows
In this paper we consider a finite element discretization of the Oldroyd-B model of viscoelastic flows. The method uses standard continuous polynomial finite element spaces for vel...
Andrea Bonito, Erik Burman
SIAMAM
2008
121views more  SIAMAM 2008»
8 years 11 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
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