Klaus Deckelnick

Publication Activity (10 Years)

Years Active: 2002-2024
Publications (10 Years): 20

Top Topics

Top Venues

SIAM J. Numer. Anal.

Numerische Mathematik

Publications

Klaus Deckelnick, Robert Nürnberg
Finite element schemes with tangential motion for fourth order geometric curve evolutions in arbitrary codimension. CoRR (2024)
Klaus Deckelnick, Philip J. Herbert, Michael Hinze
Convergence of a steepest descent algorithm in shape optimisation using $W^{1, \infty}$ functions. CoRR (2023)
Klaus Deckelnick, Robert Nürnberg
Discrete Hyperbolic Curvature Flow in the Plane. SIAM J. Numer. Anal. 61 (4) (2023)
Klaus Deckelnick, Robert Nürnberg
Discrete anisotropic curve shortening flow in higher codimension. CoRR (2023)
Klaus Deckelnick, Robert Nürnberg
An unconditionally stable finite element scheme for anisotropic curve shortening flow. CoRR (2022)
Klaus Deckelnick, Robert Nürnberg
Discrete hyperbolic curvature flow in the plane. CoRR (2022)
Klaus Deckelnick, Vanessa Styles
Finite element error analysis for a system coupling surface evolution to diffusion on the surface. CoRR (2021)
Peter Marvin Müller, Niklas Kühl, Martin Siebenborn, Klaus Deckelnick, Michael Hinze, Thomas Rung
A Novel $p$-Harmonic Descent Approach Applied to Fluid Dynamic Shape Optimization. CoRR (2021)
Klaus Deckelnick, Robert Nürnberg
Error Analysis for a Finite Difference Scheme for Axisymmetric Mean Curvature Flow of Genus-0 Surfaces. SIAM J. Numer. Anal. 59 (5) (2021)
Klaus Deckelnick, Robert Nürnberg
A novel finite element approximation of anisotropic curve shortening flow. CoRR (2021)
Klaus Deckelnick, Robert Nürnberg
Error analysis for a finite difference scheme for axisymmetric mean curvature flow of genus-0 surfaces. CoRR (2020)
John W. Barrett, Klaus Deckelnick, Vanessa Styles
A Practical Phase Field Method for an Elliptic Surface PDE. CoRR (2020)
Klaus Deckelnick, Charles M. Elliott, Tatsu-Hiko Miura, Vanessa Styles
Hamilton-Jacobi equations on an evolving surface. Math. Comput. 88 (320) (2019)
John W. Barrett, Klaus Deckelnick, Robert Nürnberg
A finite element error analysis for axisymmetric mean curvature flow. CoRR (2019)
Klaus Deckelnick, Vanessa Styles
Stability and error analysis for a diffuse interface approach to an advection-diffusion equation on a moving surface. Numerische Mathematik 139 (3) (2018)
Anna Dall'Acqua, Klaus Deckelnick
An Obstacle Problem for Elastic Graphs. SIAM J. Math. Anal. 50 (1) (2018)
Klaus Deckelnick, Michael Hinze, Tobias Jordan
An Optimal Shape Design Problem for Plates. SIAM J. Numer. Anal. 55 (1) (2017)
John W. Barrett, Klaus Deckelnick, Vanessa Styles
Numerical Analysis for a System Coupling Curve Evolution to Reaction Diffusion on the Curve. SIAM J. Numer. Anal. 55 (2) (2017)
Ahmad Ahmad Ali, Klaus Deckelnick, Michael Hinze
Global minima for semilinear optimal control problems. Comput. Optim. Appl. 65 (1) (2016)
Klaus Deckelnick, Jakob Katz, Friedhelm Schieweck
-finite element method for the Willmore flow of two-dimensional graphs. Math. Comput. 84 (296) (2015)
Klaus Deckelnick, Charles M. Elliott, Thomas Ranner
Unfitted Finite Element Methods Using Bulk Meshes for Surface Partial Differential Equations. SIAM J. Numer. Anal. 52 (4) (2014)
Klaus Deckelnick, Michael Hinze
A note on the approximation of elliptic control problems with bang-bang controls. Comput. Optim. Appl. 51 (2) (2012)
Klaus Deckelnick, Charles M. Elliott, Vanessa Styles
Numerical analysis of an inverse problem for the eikonal equation. Numerische Mathematik 119 (2) (2011)
Klaus Deckelnick, Gerhard Dziuk
Error analysis for the elastic flow of parametrized curves. Math. Comput. 78 (266) (2009)
Klaus Deckelnick, Charles M. Elliott, Vanessa Styles
Optimal Control of the Propagation of a Graph in Inhomogeneous Media. SIAM J. Control. Optim. 48 (3) (2009)
Klaus Deckelnick, Andreas Günther, Michael Hinze
Finite element approximation of elliptic control problems with constraints on the gradient. Numerische Mathematik 111 (3) (2009)
Klaus Deckelnick, Andreas Günther, Michael Hinze
Finite Element Approximation of Dirichlet Boundary Control for Elliptic PDEs on Two- and Three-Dimensional Curved Domains. SIAM J. Control. Optim. 48 (4) (2009)
Klaus Deckelnick, Hans-Christoph Grunau
Stability and Symmetry in the Navier Problem for the One-Dimensional Willmore Equation. SIAM J. Math. Anal. 40 (5) (2008)
Klaus Deckelnick, Michael Hinze
Convergence of a Finite Element Approximation to a State-Constrained Elliptic Control Problem. SIAM J. Numer. Anal. 45 (5) (2007)
Klaus Deckelnick, Gerhard Dziuk, Charles M. Elliott
Fully Discrete Finite Element Approximation for Anisotropic Surface Diffusion of Graphs. SIAM J. Numer. Anal. 43 (3) (2005)
Klaus Deckelnick, Michael Hinze
Semidiscretization and error estimates for distributed control of the instationary Navier-Stokes equations. Numerische Mathematik 97 (2) (2004)
Klaus Deckelnick, Gerhard Dziuk, Charles M. Elliott
Error Analysis of a Semidiscrete Numerical Scheme for Diffusion in Axially Symmetric Surfaces. SIAM J. Numer. Anal. 41 (6) (2003)
Klaus Deckelnick, Gerhard Dziuk
A fully discrete numerical scheme for weighted mean curvature flow. Numerische Mathematik 91 (3) (2002)