Universität Regensburg

Mathematik

 

Harald Garcke

 

 


 

Preprints from

 

2004

2005

2006

2007

2008

2009

2010

2011

2012

2013

Author Index:

A-E

F-K

L-P

Q-T

U-Z

 

blueball2

Preprint Nr.03/2013

 

 

Diffuse interface modelling of soluble surfactants in two-pahse flow

 

(joint with Kei Fong Lam and Björn Stinner)

 

Download Abstract and Preprint

 

blueball2

Preprint Nr.02/2013

 

 

Relating phase field and sharp interface approaches to structural topology optimization

 

(joint with Luise Blank, M. Hassan Farshbaf-Shaker and Vanessa Styles)

 

Download Abstract and Preprint

 

blueball2

Preprint Nr. 24/2012

 

 

Phase field models versus parametric front tracking methods: Are they accurate and computationally efficient?

 

(joint with John W. Barrett and Robert Nürnberg)

 

Download Abstract and Preprint

 

blueball2

Preprint Nr.19/2012

 

 

Stable phase field approximation of anisotropic solidification

 

(joint with John W. Barrett and Robert Nürnberg)

 

Download Abstract and Preprint

 

blueball2

Preprint Nr. 17/2012

 

 

On an incompressible Navier-Stokes/Cahn-Hilliard system with degenerate mobility

 

(joint with Helmut Abels and Daniel Depner)

 

 

Download Abstract and Preprint

 

 

blueball2

Preprint Nr.16/2012

 

 

On the stable discretization of strongly anisotropic phase field models with applications to crystal growth

 

(joint with John W. Barrett and Robert Nürnberg)

 

Download Abstract and Preprint

 

blueball2

Preprint Nr. 13/2012

 

 

Mean curvature flow with triple junctions in higher space dimensions

 

(joint with Daniel Depner and Yoshihito Kohsaka)

 

 

Download Abstract and Preprint

 

 

blueball2

Preprint Nr.07/2012

 

 

Numerical computations of facetted pattern formation in snow crystal growth

 

(joint with John W. Barrett and Robert Nürnberg)

 

Download Abstract and Preprint

 

blueball2

Preprint Nr.01/2012

 

 

Finite element approximation of one-sided Stefan problems with anisotropic, approximately crystalline, Gibbs-Thomson law

 

(joint with John W. Barrett and Robert Nürnberg)

 

Download Abstract and Preprint

 

blueball2

Preprint Nr. 33/2011

 

 

Existence of weak solutions for a diffuse interface model for two-phase flows of incompressible fluids with different densities

 

(joint with Helmut Abels and Daniel Depner)

 

 

Download Abstract and Preprint

 

 

blueball2

Preprint Nr.30/2011

 

 

Elastic flow with junctions: Variational approximation and applications to nonlinear splines

 

(joint with John W. Barrett and Robert Nürnberg)

 

Download Abstract and Preprint

 

blueball2

Preprint Nr. 21/2011

 

 

Thermodynamically consistent, frame indifferent diffuse interface models for incompressible two-phase flows with different densities

 

(joint with Helmut Abels and Günther Grün)

 

 

Download Abstract and Preprint

 

 

blueball2

Preprint Nr.16/2011

 

 

Existence of weak solutions for the Stefan problem with anisotropic Gibbs-Thomson law

 

(joint with Stefan Schaubeck)

 

Download Abstract and Preprint

 

blueball2

Preprint Nr.15/2011

 

 

Linearized stability analysis of surface diffusion for hypersurfaces with triple lines

 

(joint with Daniel Depner)

 

Download Abstract and Preprint

 

blueball2

Preprint Nr.02/2011

 

 

Non-local Allen-Cahn systems: Analysis and a primal dual active set method

 

(joint with Luise Blank, Lavinia Sarbu and Vanessa Styles)

 

Download Abstract and Preprint

 

blueball2

Preprint Nr.01/2011

 

 

Parametric approximation of isotropic and anisotropic elastic flow for closed and open curves

 

(joint with John W. Barrett and Robert Nürnberg)

 

Download Abstract and Preprint

 

blueball2

Preprint Nr. 20/2010

 

 

Thermodynamically consistent diffuse interface models for incompressible two-phase flows with different densities

 

(joint with Helmut Abels and Günther Grün)

 

 

Download Abstract and Preprint

 

 

blueball2

Preprint Nr.07/2010

 

 

Allen-Cahn and Cahn-Hilliard variational inequalities solved with Optimization Techniques

 

(joint with Luise Blank, Martin Butz, Lavinia Sarbu and Vanessa Styles)

 

Download Abstract and Preprint

 

blueball2

Preprint Nr.06/2010

 

 

Phase-field approaches to structural topology optimization

 

(joint with Luise Blank, Lavinia Sarbu, Tarin Srisupattarawanit, Vanessa Styles and Axel Voigt)

 

Download Abstract and Preprint

 

blueball2

Preprint Nr.30/2009

 

 

An anisotropic, inhomogeneous, elastically modified Gibbs-Thomson law as singular limit of a diffuse interface model

 

(joint with Christiane Kraus)

 

Download Abstract and Preprint

 

blueball2

Preprint Nr.29/2009

 

 

The approximation of planar curve evolutions by stable fully implicit finite element schemes that equidistribute

 

(joint with John W. Barrett and Robert Nürnberg)

 

Download Abstract and Preprint

 

blueball2

Preprint Nr.21/2009

 

 

On stable parametric finite element methods for the Stefan problem and the Mullins-Sekerka problem with applications to dendritic growth

 

(joint with John W. Barrett and Robert Nürnberg)

 

Download Abstract and Preprint

 

blueball2

Preprint Nr.12/2009

 

 

Thermodynamically consistent higher order phase field Navier-Stokes models with applications to biological membranes

 

(joint with M. Hassan Farshbaf-Shaker)

 

Download Abstract and Preprint

 

blueball2

Preprint Nr.11/2009

 

 

Finite Element Approximation of Coupled Surface and Grain Boundary Motion with Applications to Thermal Grooving and Sintering

 

(joint with John W. Barrett and Robert Nürnberg)

 

Download Abstract and Preprint

 

blueball2

Preprint Nr.07/2009

 

 

Solving the Cahn-Hilliard variational inequality with a semi-smooth Newton method

 

(joint with Luise Blank and Martin Butz)

 

Download Abstract and Preprint

 

blueball2

Preprint Nr.06/2009

 

 

Primal-dual active set methods for Allen-Cahn variational inequalities with non-local constraints

 

(joint with Luise Blank, Lavinia Sarbu and Vanessa Styles)

 

Download Abstract and Preprint

 

blueball2

Preprint Nr.04/2009

 

 

Parametric Approximation of Surface Clusters driven by Isotropic and Anisotropic Surface Energies

 

(joint with J.W. Barrett and Robert Nürnberg)

 

Download Abstract and Preprint

 

blueball2

Preprint Nr.35/2008

 

 

Surface diffusion with triple junctions: A stability criterion for stationary solutions

 

(joint with Kazuo Ito and Yoshihito Kohsaka)

 

Download Abstract and Preprint

 

blueball2

Preprint Nr.13/2008

 

 

Numerical approximation of gradient flows for closed curves in Rd

 

(joint with John W. Barrett and Robert Nürnberg)

 

Download Abstract and Preprint

 

blueball2

Preprint Nr.11/2008

 

 

Modelling of non-isothermal multi-component, multi-phase systems with convection

 

(joint with Robert Haas)

 

Download Abstract and Preprint

 

blueball2

Preprint Nr.09/2008

 

 

Motion by anisotropic mean curvature as sharp interface limit of an inhomogeneous and anisotropic Allen-Cahn equation

 

(joint with Matthieu Alfaro, Danielle Hilhorst, Hiroshi Matano and Reiner Schätzle)

 

Download Abstract and Preprint

 

blueball2

Preprint Nr.07/2008

 

 

Nonlinear stability of stationary solutions for curvature flow with triple junction

 

(joint with Yoshihito Kohsaka and Daniel Ševčovič)

 

Download Abstract and Preprint

 

blueball2

Preprint Nr.06/2008

 

 

Stability analysis of phase boundary motion by surface diffusion with triple junction

 

(joint with Kazuo Ito and Yoshihito Kohsaka)

 

Download Abstract and Preprint

 

blueball2

Preprint Nr.01/2008

 

 

A phase-field model for multiphase systems with preserved volume fractions

 

(joint with Britta Nestler, Frank Wendler, Michael Selzer and Björn Stinner)

 

Download Abstract and Preprint

 

blueball2

Preprint Nr.22/2007

 

 

Parametric approximation of Willmore flow and related geometric evolution equations

 

(joint with John W. Barrett and Robert Nürnberg)

 

Download Abstract and Preprint

 

blueball2

Preprint Nr.15/2007

 

 

Nonlinear stability of stationary solutions for surface diffusion with boundary conditions

 

(joint with Kazuo Ito and Yoshihito Kohsaka)

 

Download Abstract and Preprint

 

blueball2

Preprint Nr.14/2007

 

 

Allen-Cahn systems with volume constraints

 

(joint with Britta Nestler, Björn Stinner and Frank Wendler)

 

Download Abstract and Preprint

 

blueball2

Preprint Nr.08/2007

 

 

Stress and diffusion induced interface motion: Modelling and numerical simulations

 

(joint with Robert Nürnberg and Vanessa Styles)

 

Download Abstract and Preprint

 

blueball2

Preprint Nr.07/2007

 

 

A variational formulation of anisotropic geometric evolution equations in higher dimensions

 

(joint with John W. Barrett and Robert Nürnberg)

 

Download Abstract and Preprint

 

blueball2

Preprint Nr.20/2006

 

 

On sharp interface limits of Allen-Cahn/Cahn-Hilliard variational inequalities

 

(joint with John W. Barrett and Robert Nürnberg)

 

Download Abstract and Preprint

 

blueball2

Preprint Nr.18/2006

 

 

On the parametric finite element approximation of evolving hypersurfaces in R3

 

(joint with John W. Barrett and Robert Nürnberg)

 

Download Abstract and Preprint

 

blueball2

Preprint Nr.12/2006

 

 

Multiple scales in phase separating systems with elastic misfit

 

(joint with Martin Lenz, Barbara Niethammer, Martin Rumpf and Ulrich Weikard)

 

Download Abstract and Preprint

 

blueball2

Preprint Nr.11/2006

 

 

On asymptotic limits of Cahn-Hilliard systems with elastic misfit

 

(joint with David Jung Chul Kwak)

 

Download Abstract and Preprint

 

blueball2

Preprint Nr.09/2006

 

 

Numerical Approximation of Anisotropic Geometric Evolution Equations

 

(joint with John W. Barrett and Robert Nürnberg)

 

Download Abstract and Preprint

 

blueball2

Preprint Nr.08/2006

 

 

Multiscale Problems in Solidification Processes

 

(joint with Christof Eck and Björn Stinner)

 

Download Abstract and Preprint

 

blueball2

Preprint Nr.07/2006

 

 

On the Variational Approximation of Combined Second and Fourth Order Geometric Evolution Equations

 

(joint with John W. Barrett and Robert Nürnberg)

 

Download Abstract and Preprint

 

blueball2

Preprint Nr.20/2005

 

 

A Parametric Finite Element Method for Forth Order Geometric Evolution Equations

 

(joint with John W. Barrett and Robert Nürnberg)

 

Download Abstract and Preprint

 

blueball2

Preprint Nr.15/2005

 

 

A Phase Field Model for the Electromigration of Intergranular Voids

 

(joint with John W. Barrett and Robert Nürnberg)

 

Download Abstract and Preprint

 

blueball2

Preprint Nr.03/2005

 

 

Second order phase field asymptotics for multi-component systems

 

(joint with Björn Stinner)

 

Download Abstract and Preprint

 

blueball2

Preprint Nr.22/2004

 

 

The Γ-limit of the Ginzburg-Landau energy in an elastic medium

 

Download Abstract and Preprint

 

blueball2

Preprint Nr.20/2004

 

 

Surfactant Spreading on Thin Viscous Films: Nonnegative Solutions of a Coupled Degenerate System

 

(joint with Sandra Wieland)

 

Download Abstract and Preprint

 

blueball2

Preprint Nr.16/2004

 

 

Multicomponent Alloy Solidification: Phase-Field Modelling and Simulations

 

(joint with Britta Nestler and Björn Stinner)

 

Download Abstract and Preprint

 

blueball2

Preprint Nr.14/2004

 

 

Mechanical Effects in the Cahn-Hilliard Model: A Review on Mathematical Results

 

Download Abstract and Preprint

 

blueball2

Preprint Nr. 6/2004

 

 

Numerical Approximation of the Cahn-Larché Equation

 

(joint with Ulrich Weikard)

 

Download Abstract and Preprint

 

blueball2

Preprint Nr. 5/2004

 

 

Linearized Stability Analysis of Stationary Solutions for Surface Diffusion with Boundary Conditions

 

(joint with Kazuo Ito and Yoshihito Kohsaka)

 

Download Abstract and Preprint

 

blueball2

Preprint Nr. 4/2004

 

 

On a Cahn-Hilliard Model for Phase Separation with Elastic Misfit

 

Download Abstract and Preprint

 

blueball2

Preprint Nr. 3/2004

 

 

Finite Element Approximation of a Phase Field Model for Surface Diffusion of Voids in a Stressed Solid

 

(joint with John W. Barrett and Robert Nürnberg)

 

Download Abstract and Preprint