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Klaus Deckelnick
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2020 – today
- 2024
- [i12]Klaus Deckelnick, Robert Nürnberg:
Finite element schemes with tangential motion for fourth order geometric curve evolutions in arbitrary codimension. CoRR abs/2402.16799 (2024) - [i11]Klaus Deckelnick, Robert Nürnberg:
On the numerical approximation of hyperbolic mean curvature flows for surfaces. CoRR abs/2410.17719 (2024) - 2023
- [j22]Klaus Deckelnick, Robert Nürnberg
:
Discrete Hyperbolic Curvature Flow in the Plane. SIAM J. Numer. Anal. 61(4): 1835-1857 (2023) - [i10]Klaus Deckelnick, Robert Nürnberg:
Discrete anisotropic curve shortening flow in higher codimension. CoRR abs/2310.02138 (2023) - [i9]Klaus Deckelnick, Philip J. Herbert
Convergence of a steepest descent algorithm in shape optimisation using $W^{1, \infty}$ functions. CoRR abs/2310.15078 (2023) - 2022
- [i8]Klaus Deckelnick, Robert Nürnberg:
Discrete hyperbolic curvature flow in the plane. CoRR abs/2204.12878 (2022) - [i7]Klaus Deckelnick, Robert Nürnberg:
An unconditionally stable finite element scheme for anisotropic curve shortening flow. CoRR abs/2209.06565 (2022) - 2021
- [j21]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): 2698-2721 (2021) - [i6]Peter Marvin Müller
A Novel $p$-Harmonic Descent Approach Applied to Fluid Dynamic Shape Optimization. CoRR abs/2103.14735 (2021) - [i5]Klaus Deckelnick, Vanessa Styles:
Finite element error analysis for a system coupling surface evolution to diffusion on the surface. CoRR abs/2104.04827 (2021) - [i4]Klaus Deckelnick, Robert Nürnberg:
A novel finite element approximation of anisotropic curve shortening flow. CoRR abs/2110.04605 (2021) - 2020
- [i3]John W. Barrett, Klaus Deckelnick, Vanessa Styles:
A Practical Phase Field Method for an Elliptic Surface PDE. CoRR abs/2002.07504 (2020) - [i2]Klaus Deckelnick, Robert Nürnberg:
Error analysis for a finite difference scheme for axisymmetric mean curvature flow of genus-0 surfaces. CoRR abs/2010.09666 (2020)
2010 – 2019
- 2019
- [j20]Klaus Deckelnick, Charles M. Elliott, Tatsu-Hiko Miura
Hamilton-Jacobi equations on an evolving surface. Math. Comput. 88(320): 2635-2664 (2019) - [i1]John W. Barrett, Klaus Deckelnick, Robert Nürnberg:
A finite element error analysis for axisymmetric mean curvature flow. CoRR abs/1911.05398 (2019) - 2018
- [j19]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): 709-741 (2018) - [j18]Anna Dall'Acqua, Klaus Deckelnick:
An Obstacle Problem for Elastic Graphs. SIAM J. Math. Anal. 50(1): 119-137 (2018) - 2017
- [j17]Klaus Deckelnick, Michael Hinze
An Optimal Shape Design Problem for Plates. SIAM J. Numer. Anal. 55(1): 109-130 (2017) - [j16]John W. Barrett
Numerical Analysis for a System Coupling Curve Evolution to Reaction Diffusion on the Curve. SIAM J. Numer. Anal. 55(2): 1080-1100 (2017) - 2016
- [j15]Ahmad Ahmad Ali, Klaus Deckelnick, Michael Hinze
Global minima for semilinear optimal control problems. Comput. Optim. Appl. 65(1): 261-288 (2016) - 2015
- [j14]Klaus Deckelnick, Jakob Katz, Friedhelm Schieweck:
A C1-finite element method for the Willmore flow of two-dimensional graphs. Math. Comput. 84(296): 2617-2643 (2015) - 2014
- [j13]Klaus Deckelnick, Charles M. Elliott
Unfitted Finite Element Methods Using Bulk Meshes for Surface Partial Differential Equations. SIAM J. Numer. Anal. 52(4): 2137-2162 (2014) - 2012
- [j12]Klaus Deckelnick, Michael Hinze
A note on the approximation of elliptic control problems with bang-bang controls. Comput. Optim. Appl. 51(2): 931-939 (2012) - 2011
- [j11]Klaus Deckelnick, Charles M. Elliott
Numerical analysis of an inverse problem for the eikonal equation. Numerische Mathematik 119(2): 245 (2011)
2000 – 2009
- 2009
- [j10]Klaus Deckelnick, Gerhard Dziuk:
Error analysis for the elastic flow of parametrized curves. Math. Comput. 78(266): 645-671 (2009) - [j9]Klaus Deckelnick, Andreas Günther, Michael Hinze
Finite element approximation of elliptic control problems with constraints on the gradient. Numerische Mathematik 111(3): 335-350 (2009) - [j8]Klaus Deckelnick, Charles M. Elliott
Optimal Control of the Propagation of a Graph in Inhomogeneous Media. SIAM J. Control. Optim. 48(3): 1335-1352 (2009) - [j7]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): 2798-2819 (2009) - 2008
- [j6]Klaus Deckelnick, Hans-Christoph Grunau
Stability and Symmetry in the Navier Problem for the One-Dimensional Willmore Equation. SIAM J. Math. Anal. 40(5): 2055-2076 (2008) - 2007
- [j5]Klaus Deckelnick, Michael Hinze
Convergence of a Finite Element Approximation to a State-Constrained Elliptic Control Problem. SIAM J. Numer. Anal. 45(5): 1937-1953 (2007) - 2005
- [j4]Klaus Deckelnick, Gerhard Dziuk, Charles M. Elliott:
Fully Discrete Finite Element Approximation for Anisotropic Surface Diffusion of Graphs. SIAM J. Numer. Anal. 43(3): 1112-1138 (2005) - 2004
- [j3]Klaus Deckelnick, Michael Hinze
Semidiscretization and error estimates for distributed control of the instationary Navier-Stokes equations. Numerische Mathematik 97(2): 297-320 (2004) - 2003
- [j2]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): 2161-2179 (2003) - 2002
- [j1]Klaus Deckelnick, Gerhard Dziuk:
A fully discrete numerical scheme for weighted mean curvature flow. Numerische Mathematik 91(3): 423-452 (2002)
Coauthor Index
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