Klaus Deckelnick

According to our database1, Klaus Deckelnick authored at least 31 papers between 2002 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of five.

Timeline

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Bibliography

2024
Finite element schemes with tangential motion for fourth order geometric curve evolutions in arbitrary codimension.
CoRR, 2024

2023
Discrete Hyperbolic Curvature Flow in the Plane.
SIAM J. Numer. Anal., August, 2023

Convergence of a steepest descent algorithm in shape optimisation using $W^{1, \infty}$ functions.
CoRR, 2023

Discrete anisotropic curve shortening flow in higher codimension.
CoRR, 2023

2022
An unconditionally stable finite element scheme for anisotropic curve shortening flow.
CoRR, 2022

2021
Error Analysis for a Finite Difference Scheme for Axisymmetric Mean Curvature Flow of Genus-0 Surfaces.
SIAM J. Numer. Anal., 2021

A novel finite element approximation of anisotropic curve shortening flow.
CoRR, 2021

Finite element error analysis for a system coupling surface evolution to diffusion on the surface.
CoRR, 2021

A Novel $p$-Harmonic Descent Approach Applied to Fluid Dynamic Shape Optimization.
CoRR, 2021

2020
A Practical Phase Field Method for an Elliptic Surface PDE.
CoRR, 2020

2019
Hamilton-Jacobi equations on an evolving surface.
Math. Comput., 2019

A finite element error analysis for axisymmetric mean curvature flow.
CoRR, 2019

2018
An Obstacle Problem for Elastic Graphs.
SIAM J. Math. Anal., 2018

Stability and error analysis for a diffuse interface approach to an advection-diffusion equation on a moving surface.
Numerische Mathematik, 2018

2017
An Optimal Shape Design Problem for Plates.
SIAM J. Numer. Anal., 2017

Numerical Analysis for a System Coupling Curve Evolution to Reaction Diffusion on the Curve.
SIAM J. Numer. Anal., 2017

2016
Global minima for semilinear optimal control problems.
Comput. Optim. Appl., 2016

2015
A C<sup>1</sup>-finite element method for the Willmore flow of two-dimensional graphs.
Math. Comput., 2015

2014
Unfitted Finite Element Methods Using Bulk Meshes for Surface Partial Differential Equations.
SIAM J. Numer. Anal., 2014

2012
A note on the approximation of elliptic control problems with bang-bang controls.
Comput. Optim. Appl., 2012

2011
Numerical analysis of an inverse problem for the eikonal equation.
Numerische Mathematik, 2011

2009
Finite Element Approximation of Dirichlet Boundary Control for Elliptic PDEs on Two- and Three-Dimensional Curved Domains.
SIAM J. Control. Optim., 2009

Optimal Control of the Propagation of a Graph in Inhomogeneous Media.
SIAM J. Control. Optim., 2009

Finite element approximation of elliptic control problems with constraints on the gradient.
Numerische Mathematik, 2009

Error analysis for the elastic flow of parametrized curves.
Math. Comput., 2009

2008
Stability and Symmetry in the Navier Problem for the One-Dimensional Willmore Equation.
SIAM J. Math. Anal., 2008

2007
Convergence of a Finite Element Approximation to a State-Constrained Elliptic Control Problem.
SIAM J. Numer. Anal., 2007

2005
Fully Discrete Finite Element Approximation for Anisotropic Surface Diffusion of Graphs.
SIAM J. Numer. Anal., 2005

2004
Semidiscretization and error estimates for distributed control of the instationary Navier-Stokes equations.
Numerische Mathematik, 2004

2003
Error Analysis of a Semidiscrete Numerical Scheme for Diffusion in Axially Symmetric Surfaces.
SIAM J. Numer. Anal., 2003

2002
A fully discrete numerical scheme for weighted mean curvature flow.
Numerische Mathematik, 2002


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