Klaus Deckelnick

39 papers Journal 39

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	Second Order in Time Finite Element Schemes for Curve Shortening Flow and Curve Diffusion. SIAM J. Numer. Anal. Klaus Deckelnick, Robert Nürnberg
2025	J	`jnl`	Error estimates for a surface finite element method for anisotropic mean curvature flow. CoRR Klaus Deckelnick, Harald Garcke, Balázs Kovács
2025	J	`jnl`	Finite element schemes with tangential motion for fourth order geometric curve evolutions in arbitrary codimension. Numerische Mathematik Klaus Deckelnick, Robert Nürnberg
2025	J	`jnl`	Quasi-optimal error estimate for the approximation of the elastic flow of inextensible curves. CoRR Sören Bartels, Klaus Deckelnick, Dominik Schneider
2025	J	`jnl`	Second order in time finite element schemes for curve shortening flow and curve diffusion. CoRR Klaus Deckelnick, Robert Nürnberg
2024	J	`jnl`	Finite element schemes with tangential motion for fourth order geometric curve evolutions in arbitrary codimension. CoRR Klaus Deckelnick, Robert Nürnberg
2024	J	`jnl`	On the numerical approximation of hyperbolic mean curvature flows for surfaces. CoRR Klaus Deckelnick, Robert Nürnberg
2023	J	`jnl`	Convergence of a steepest descent algorithm in shape optimisation using $W^{1, \infty}$ functions. CoRR Klaus Deckelnick, Philip J. Herbert, Michael Hinze
2023	J	`jnl`	Discrete Hyperbolic Curvature Flow in the Plane. SIAM J. Numer. Anal. Klaus Deckelnick, Robert Nürnberg
2023	J	`jnl`	Discrete anisotropic curve shortening flow in higher codimension. CoRR Klaus Deckelnick, Robert Nürnberg
2022	J	`jnl`	An unconditionally stable finite element scheme for anisotropic curve shortening flow. CoRR Klaus Deckelnick, Robert Nürnberg
2022	J	`jnl`	Discrete hyperbolic curvature flow in the plane. CoRR Klaus Deckelnick, Robert Nürnberg
2021	J	`jnl`	A Novel $p$-Harmonic Descent Approach Applied to Fluid Dynamic Shape Optimization. CoRR Peter Marvin Müller, Niklas Kühl, Martin Siebenborn, Klaus Deckelnick, Michael Hinze, Thomas Rung
2021	J	`jnl`	A novel finite element approximation of anisotropic curve shortening flow. CoRR Klaus Deckelnick, Robert Nürnberg
2021	J	`jnl`	Error Analysis for a Finite Difference Scheme for Axisymmetric Mean Curvature Flow of Genus-0 Surfaces. SIAM J. Numer. Anal. Klaus Deckelnick, Robert Nürnberg
2021	J	`jnl`	Finite element error analysis for a system coupling surface evolution to diffusion on the surface. CoRR Klaus Deckelnick, Vanessa Styles
2020	J	`jnl`	A Practical Phase Field Method for an Elliptic Surface PDE. CoRR John W. Barrett, Klaus Deckelnick, Vanessa Styles
2020	J	`jnl`	Error analysis for a finite difference scheme for axisymmetric mean curvature flow of genus-0 surfaces. CoRR Klaus Deckelnick, Robert Nürnberg
2019	J	`jnl`	A finite element error analysis for axisymmetric mean curvature flow. CoRR John W. Barrett, Klaus Deckelnick, Robert Nürnberg
2019	J	`jnl`	Hamilton-Jacobi equations on an evolving surface. Math. Comput. Klaus Deckelnick, Charles M. Elliott, Tatsu-Hiko Miura, Vanessa Styles
2018	J	`jnl`	An Obstacle Problem for Elastic Graphs. SIAM J. Math. Anal. Anna Dall'Acqua, Klaus Deckelnick
2018	J	`jnl`	Stability and error analysis for a diffuse interface approach to an advection-diffusion equation on a moving surface. Numerische Mathematik Klaus Deckelnick, Vanessa Styles
2017	J	`jnl`	An Optimal Shape Design Problem for Plates. SIAM J. Numer. Anal. Klaus Deckelnick, Michael Hinze, Tobias Jordan
2017	J	`jnl`	Numerical Analysis for a System Coupling Curve Evolution to Reaction Diffusion on the Curve. SIAM J. Numer. Anal. John W. Barrett, Klaus Deckelnick, Vanessa Styles
2016	J	`jnl`	Global minima for semilinear optimal control problems. Comput. Optim. Appl. Ahmad Ahmad Ali, Klaus Deckelnick, Michael Hinze
2015	J	`jnl`	A C Math. Comput. Klaus Deckelnick, Jakob Katz, Friedhelm Schieweck
2014	J	`jnl`	Unfitted Finite Element Methods Using Bulk Meshes for Surface Partial Differential Equations. SIAM J. Numer. Anal. Klaus Deckelnick, Charles M. Elliott, Thomas Ranner
2012	J	`jnl`	A note on the approximation of elliptic control problems with bang-bang controls. Comput. Optim. Appl. Klaus Deckelnick, Michael Hinze
2011	J	`jnl`	Numerical analysis of an inverse problem for the eikonal equation. Numerische Mathematik Klaus Deckelnick, Charles M. Elliott, Vanessa Styles
2009	J	`jnl`	Error analysis for the elastic flow of parametrized curves. Math. Comput. Klaus Deckelnick, Gerhard Dziuk
2009	J	`jnl`	Finite Element Approximation of Dirichlet Boundary Control for Elliptic PDEs on Two- and Three-Dimensional Curved Domains. SIAM J. Control. Optim. Klaus Deckelnick, Andreas Günther, Michael Hinze
2009	J	`jnl`	Finite element approximation of elliptic control problems with constraints on the gradient. Numerische Mathematik Klaus Deckelnick, Andreas Günther, Michael Hinze
2009	J	`jnl`	Optimal Control of the Propagation of a Graph in Inhomogeneous Media. SIAM J. Control. Optim. Klaus Deckelnick, Charles M. Elliott, Vanessa Styles
2008	J	`jnl`	Stability and Symmetry in the Navier Problem for the One-Dimensional Willmore Equation. SIAM J. Math. Anal. Klaus Deckelnick, Hans-Christoph Grunau
2007	J	`jnl`	Convergence of a Finite Element Approximation to a State-Constrained Elliptic Control Problem. SIAM J. Numer. Anal. Klaus Deckelnick, Michael Hinze
2005	J	`jnl`	Fully Discrete Finite Element Approximation for Anisotropic Surface Diffusion of Graphs. SIAM J. Numer. Anal. Klaus Deckelnick, Gerhard Dziuk, Charles M. Elliott
2004	J	`jnl`	Semidiscretization and error estimates for distributed control of the instationary Navier-Stokes equations. Numerische Mathematik Klaus Deckelnick, Michael Hinze
2003	J	`jnl`	Error Analysis of a Semidiscrete Numerical Scheme for Diffusion in Axially Symmetric Surfaces. SIAM J. Numer. Anal. Klaus Deckelnick, Gerhard Dziuk, Charles M. Elliott
2002	J	`jnl`	A fully discrete numerical scheme for weighted mean curvature flow. Numerische Mathematik Klaus Deckelnick, Gerhard Dziuk