A fully discrete numerical scheme for weighted mean curvature flow. - Klaus Deckelnick; Gerhard Dziuk (Numerische Mathematik, 2002)

Error Analysis of a Semidiscrete Numerical Scheme for Diffusion in Axially Symmetric Surfaces. - Klaus Deckelnick; Gerhard Dziuk; Charles M. Elliott (SIAM J. Numer. Anal., 2003)

Semidiscretization and error estimates for distributed control of the instationary Navier-Stokes equations. - Klaus Deckelnick; Michael Hinze (Numerische Mathematik, 2004)

Fully Discrete Finite Element Approximation for Anisotropic Surface Diffusion of Graphs. - Klaus Deckelnick; Gerhard Dziuk; Charles M. Elliott (SIAM J. Numer. Anal., 2005)

Convergence of a Finite Element Approximation to a State-Constrained Elliptic Control Problem. - Klaus Deckelnick; Michael Hinze (SIAM J. Numer. Anal., 2007)

Stability and Symmetry in the Navier Problem for the One-Dimensional Willmore Equation. - Klaus Deckelnick; Hans-Christoph Grunau (SIAM J. Math. Anal., 2008)

Error analysis for the elastic flow of parametrized curves. - Klaus Deckelnick; Gerhard Dziuk (Math. Comput., 2009)

Finite element approximation of elliptic control problems with constraints on the gradient. - Klaus Deckelnick; Andreas Günther; Michael Hinze (Numerische Mathematik, 2009)

Optimal Control of the Propagation of a Graph in Inhomogeneous Media. - Klaus Deckelnick; Charles M. Elliott; Vanessa Styles (SIAM J. Control. Optim., 2009)

Finite Element Approximation of Dirichlet Boundary Control for Elliptic PDEs on Two- and Three-Dimensional Curved Domains. - Klaus Deckelnick; Andreas Günther; Michael Hinze (SIAM J. Control. Optim., 2009)

Numerical analysis of an inverse problem for the eikonal equation. - Klaus Deckelnick; Charles M. Elliott; Vanessa Styles (Numerische Mathematik, 2011)

A note on the approximation of elliptic control problems with bang-bang controls. - Klaus Deckelnick; Michael Hinze (Comput. Optim. Appl., 2012)

Unfitted Finite Element Methods Using Bulk Meshes for Surface Partial Differential Equations. - Klaus Deckelnick; Charles M. Elliott; Thomas Ranner (SIAM J. Numer. Anal., 2014)

A C1-finite element method for the Willmore flow of two-dimensional graphs. - Klaus Deckelnick; Jakob Katz; Friedhelm Schieweck (Math. Comput., 2015)

Global minima for semilinear optimal control problems. - Ahmad Ahmad Ali; Klaus Deckelnick; Michael Hinze (Comput. Optim. Appl., 2016)

Numerical Analysis for a System Coupling Curve Evolution to Reaction Diffusion on the Curve. - John W. Barrett 001; Klaus Deckelnick; Vanessa Styles (SIAM J. Numer. Anal., 2017)

An Optimal Shape Design Problem for Plates. - Klaus Deckelnick; Michael Hinze; Tobias Jordan (SIAM J. Numer. Anal., 2017)

Stability and error analysis for a diffuse interface approach to an advection-diffusion equation on a moving surface. - Klaus Deckelnick; Vanessa Styles (Numerische Mathematik, 2018)

An Obstacle Problem for Elastic Graphs. - Anna Dall'Acqua; Klaus Deckelnick (SIAM J. Math. Anal., 2018)

A finite element error analysis for axisymmetric mean curvature flow. - John W. Barrett 001; Klaus Deckelnick; Robert Nürnberg (CoRR, 2019)

Hamilton-Jacobi equations on an evolving surface. - Klaus Deckelnick; Charles M. Elliott; Tatsu-Hiko Miura; Vanessa Styles (Math. Comput., 2019)

A Practical Phase Field Method for an Elliptic Surface PDE. - John W. Barrett 001; Klaus Deckelnick; Vanessa Styles (CoRR, 2020)

A Novel $p$-Harmonic Descent Approach Applied to Fluid Dynamic Shape Optimization. - Peter Marvin Müller; Niklas Kühl 002; Martin Siebenborn; Klaus Deckelnick; Michael Hinze; Thomas Rung (CoRR, 2021)

Finite element error analysis for a system coupling surface evolution to diffusion on the surface. - Klaus Deckelnick; Vanessa Styles (CoRR, 2021)

A novel finite element approximation of anisotropic curve shortening flow. - Klaus Deckelnick; Robert Nürnberg (CoRR, 2021)

Error Analysis for a Finite Difference Scheme for Axisymmetric Mean Curvature Flow of Genus-0 Surfaces. - Klaus Deckelnick; Robert Nürnberg (SIAM J. Numer. Anal., 2021)

An unconditionally stable finite element scheme for anisotropic curve shortening flow. - Klaus Deckelnick; Robert Nürnberg (CoRR, 2022)

Discrete anisotropic curve shortening flow in higher codimension. - Klaus Deckelnick; Robert Nürnberg (CoRR, 2023)

Convergence of a steepest descent algorithm in shape optimisation using $W^{1, infty}$ functions. - Klaus Deckelnick; Philip J. Herbert; Michael Hinze (CoRR, 2023)

Discrete Hyperbolic Curvature Flow in the Plane. - Klaus Deckelnick; Robert Nürnberg (SIAM J. Numer. Anal., 2023)

Finite element schemes with tangential motion for fourth order geometric curve evolutions in arbitrary codimension. - Klaus Deckelnick; Robert Nürnberg (CoRR, 2024)

On the numerical approximation of hyperbolic mean curvature flows for surfaces. - Klaus Deckelnick; Robert Nürnberg (CoRR, 2024)

Second order in time finite element schemes for curve shortening flow and curve diffusion. - Klaus Deckelnick; Robert Nürnberg (CoRR, 2025)

Quasi-optimal error estimate for the approximation of the elastic flow of inextensible curves. - Sören Bartels; Klaus Deckelnick; Dominik Schneider (CoRR, 2025)

Error estimates for a surface finite element method for anisotropic mean curvature flow. - Klaus Deckelnick; Harald Garcke; Balázs Kovács (CoRR, 2025)