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List of works by Harald Garcke

A Phase-Field Approach to Shape and Topology Optimization of Acoustic Waves in Dissipative Media

scientific article published in 2022

A Stable Parametric Finite Element Discretization of Two-Phase Navier–Stokes Flow

article published in 2014

A parametric finite element method for fourth order geometric evolution equations

A phase-field approach for wetting phenomena of multiphase droplets on solid surfaces

scientific article published on 04 April 2014

A stable numerical method for the dynamics of fluidic membranes

scientific article published on 23 February 2016

A structure‐preserving finite element approximation of surface diffusion for curve networks and surface clusters

scientific article published in 2022

A variational formulation of anisotropic geometric evolution equations in higher dimensions

Computational Parametric Willmore Flow with Spontaneous Curvature and Area Difference Elasticity Effects

ELASTIC FLOW WITH JUNCTIONS: VARIATIONAL APPROXIMATION AND APPLICATIONS TO NONLINEAR SPLINES

Eliminating spurious velocities with a stable approximation of viscous incompressible two-phase Stokes flow

Erratum: Numerical computations of the dynamics of fluidic membranes and vesicles [Phys. Rev. E 92, 052704 (2015)]

correction of a scientific article; published on 06 December 2016

Finite Element Approximation of Surfactant Spreading on a Thin Film

Finite element approximation for the dynamics of asymmetric fluidic biomembranes

Finite element approximation for the dynamics of fluidic two-phase biomembranes

Finite element methods for fourth order axisymmetric geometric evolution equations

Finite-element approximation of coupled surface and grain boundary motion with applications to thermal grooving and sintering

Image Segmentation Using Parametric Contours With Free Endpoints ⬇️

scientific article published on 11 February 2016

Mini-Workshop: Mathematics of Biological Membranes

Multicomponent alloy solidification: phase-field modeling and simulations

scientific article published on 27 April 2005

Numerical approximation of anisotropic geometric evolution equations in the plane

Numerical approximation of boundary value problems for curvature flow and elastic flow in Riemannian manifolds

scientific article published in 2021

Numerical approximation of curve evolutions in Riemannian manifolds

scientific article published in 2019

Numerical approximation of gradient flows for closed curves in Rd

Numerical computations of faceted pattern formation in snow crystal growth ⬇️

scientific article published on July 26, 2012

Numerical computations of the dynamics of fluidic membranes and vesicles. ⬇️

scientific article published on 3 November 2015

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

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

On the parametric finite element approximation of evolving hypersurfaces in R 3

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

On the stable numerical approximation of two-phase flow with insoluble surfactant

Parametric Approximation of Willmore Flow and Related Geometric Evolution Equations

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

Parametric approximation of surface clusters driven by isotropic and anisotropic surface energies

Phase Field Models Versus Parametric Front Tracking Methods: Are They Accurate and Computationally Efficient?

Phase-field model for multiphase systems with preserved volume fractions

scientific article published on 28 July 2008

Segmentation and Restoration of Images on Surfaces by Parametric Active Contours with Topology Changes

scientific article published on 11 November 2015

Segmentation of Three-Dimensional Images with Parametric Active Surfaces and Topology Changes

scientific article published in 2017

Stable Discretizations of Elastic Flow in Riemannian Manifolds

scientific article published in 2019

Stable approximations for axisymmetric Willmore flow for closed and open surfaces

scientific article published in 2021

Stable finite element approximations of two-phase flow with soluble surfactant

Stable phase field approximations of anisotropic solidification

Stable variational approximations of boundary value problems for Willmore flow with Gaussian curvature

Strong well-posedness, stability and optimal control theory for a mathematical model for magneto-viscoelastic fluids

scientific article published in 2022

Surface, Bulk, and Geometric Partial Differential Equations: Interfacial, stochastic, non-local and discrete structures

scientific article published in 2020

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

article

Variational discretization of axisymmetric curvature flows

article published in 2019

Volume-preserving parametric finite element methods for axisymmetric geometric evolution equations

scientific article published in 2022

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