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1

[Lecture Notes in Mathematics] Mathematical Aspects of Evolving Interfaces Volume 1812 || Lecture Notes on Optimal Transport Problems

Ambrosio, Luigi, Deckelnick, Klaus, Dziuk, Gerhard, Mimura, Masayasu, Solonnikov, Vsevolod A., Soner, Halil Mete

Année:

2003

Langue:

english

Fichier:

PDF, 463 KB

english, 2003

2

Partial regularity of weak solutions for the curve shortening flow

Klaus Deckelnick

Journal:

manuscripta mathematica

Année:

1999

Langue:

english

Fichier:

PDF, 74 KB

english, 1999

3

Computation of geometric partial differential equations and mean curvature flow

Deckelnick, Klaus, Dziuk, Gerhard, Elliott, Charles M.

Journal:

Année:

2005

Langue:

english

Fichier:

PDF, 10.78 MB

english, 2005

4

Stability and error analysis for a diffuse interface approach to an advection–diffusion equation on a moving surface

Deckelnick, Klaus, Styles, Vanessa

Journal:

Numerische Mathematik

Année:

2018

Langue:

english

Fichier:

PDF, 656 KB

english, 2018

5

Decay estimates for the compressible Navier-Stokes equations in unbounded domains

Klaus Deckelnick

Journal:

Mathematische Zeitschrift

Année:

1992

Langue:

english

Fichier:

PDF, 563 KB

english, 1992

6

Convergence of a finite element method for non-parametric mean curvature flow

Klaus Deckelnick, Gerhard Dziuk

Journal:

Numerische Mathematik

Année:

1995

Langue:

english

Fichier:

PDF, 232 KB

english, 1995

7

Boundary value problems for the one-dimensional Willmore equation

Klaus Deckelnick, Hans-Christoph Grunau

Journal:

Calculus of Variations and Partial Differential Equations

Année:

2007

Langue:

english

Fichier:

PDF, 855 KB

english, 2007

8

Weak solutions of the curve shortening flow

Klaus Deckelnick

Journal:

Calculus of Variations and Partial Differential Equations

Année:

1997

Langue:

english

Fichier:

PDF, 249 KB

english, 1997

9

Unstable Willmore surfaces of revolution subject to natural boundary conditions

Anna Dall’Acqua, Klaus Deckelnick…

Journal:

Calculus of Variations and Partial Differential Equations

Année:

2013

Langue:

english

Fichier:

PDF, 440 KB

english, 2013

10

EXISTENCE, UNIQUENESS AND APPROXIMATION OF A DOUBLY-DEGENERATE NONLINEAR PARABOLIC SYSTEM MODELLING BACTERIAL EVOLUTION

BARRETT, JOHN W., DECKELNICK, KLAUS

Journal:

Mathematical Models and Methods in Applied Sciences

Année:

2007

Langue:

english

Fichier:

PDF, 411 KB

english, 2007

11

Convergence and error analysis of a numerical method for the identification of matrix parameters in elliptic PDEs

Deckelnick, Klaus, Hinze, Michael

Journal:

Inverse Problems

Année:

2012

Langue:

english

Fichier:

PDF, 904 KB

english, 2012

12

A practical phase field method for an elliptic surface PDE

Barrett, John W, Deckelnick, Klaus, Styles, Vanessa

Journal:

IMA Journal of Numerical Analysis

Année:

2020

Fichier:

PDF, 864 KB

2020

13

Propagation of graphs in two-dimensional inhomogeneous media

Klaus Deckelnick, Charles M. Elliott

Journal:

Applied Numerical Mathematics

Année:

2006

Langue:

english

Fichier:

PDF, 240 KB

english, 2006

14

Numerical analysis and algorithms in control and state constrained optimization with PDEs

Klaus Deckelnick, Andreas Günther, Michael Hinze

Journal:

Année:

2007

Langue:

english

Fichier:

PDF, 89 KB

english, 2007

15

Discrete concepts for elliptic optimal control problems with constraints on the gradient of the state

Klaus Deckelnick, Andreas Günther, Michael Hinze

Journal:

Année:

2008

Langue:

english

Fichier:

PDF, 182 KB

english, 2008

16

A priori estimates for optimal Dirichlet boundary control problems

Klaus Deckelnick, Andreas Günther, Michael Hinze

Journal:

Année:

2009

Langue:

english

Fichier:

PDF, 104 KB

english, 2009

17

Semidiscretization and error estimates for distributed control of the instationary Navier-Stokes equations

Klaus Deckelnick, Michael Hinze

Journal:

Numerische Mathematik

Année:

2004

Langue:

english

Fichier:

PDF, 241 KB

english, 2004

18

Finite element approximation of elliptic control problems with constraints on the gradient

Klaus Deckelnick, Andreas Günther, Michael Hinze

Journal:

Numerische Mathematik

Année:

2009

Langue:

english

Fichier:

PDF, 861 KB

english, 2009

19

Numerical analysis of an inverse problem for the eikonal equation

Klaus Deckelnick, Charles M. Elliott, Vanessa Styles

Journal:

Numerische Mathematik

Année:

2011

Langue:

english

Fichier:

PDF, 601 KB

english, 2011

20

A fully discrete numerical scheme for weighted mean curvature flow

Klaus Deckelnick, Gerhard Dziuk

Journal:

Numerische Mathematik

Année:

2002

Langue:

english

Fichier:

PDF, 999 KB

english, 2002

21

A note on the approximation of elliptic control problems with bang-bang controls

Klaus Deckelnick, Michael Hinze

Journal:

Computational Optimization and Applications

Année:

2012

Langue:

english

Fichier:

PDF, 406 KB

english, 2012

22

Convergence of a Finite Element Approximation to a State-Constrained Elliptic Control Problem

Deckelnick, Klaus, Hinze, Michael

Journal:

SIAM Journal on Numerical Analysis

Année:

2007

Langue:

english

Fichier:

PDF, 1.20 MB

english, 2007

23

Error Analysis of a Semidiscrete Numerical Scheme for Diffusion in Axially Symmetric Surfaces

Deckelnick, Klaus, Dziuk, Gerhard, Elliott, Charles M.

Journal:

SIAM Journal on Numerical Analysis

Année:

2003

Langue:

english

Fichier:

PDF, 290 KB

english, 2003

24

Fully Discrete Finite Element Approximation for Anisotropic Surface Diffusion of Graphs

Deckelnick, Klaus, Dziuk, Gerhard, Elliott, Charles M.

Journal:

SIAM Journal on Numerical Analysis

Année:

2005

Langue:

english

Fichier:

PDF, 8.25 MB

english, 2005

25

Optimal Control of the Propagation of a Graph in Inhomogeneous Media

Deckelnick, Klaus, Elliott, Charles M., Styles, Vanessa

Journal:

SIAM Journal on Control and Optimization

Année:

2009

Langue:

english

Fichier:

PDF, 285 KB

english, 2009

26

Finite Element Approximation of Dirichlet Boundary Control for Elliptic PDEs on Two- and Three-Dimensional Curved Domains

Deckelnick, Klaus, Günther, Andreas, Hinze, Michael

Journal:

SIAM Journal on Control and Optimization

Année:

2009

Langue:

english

Fichier:

PDF, 493 KB

english, 2009

27

Classical solutions to the Dirichlet problem for Willmore surfaces of revolution

Dall'Acqua, Anna, Deckelnick, Klaus, Grunau, Hans-Christoph

Journal:

Advances in Calculus of Variations

Année:

2008

Langue:

english

Fichier:

PDF, 196 KB

english, 2008

28

Unfitted Finite Element Methods Using Bulk Meshes for Surface Partial Differential Equations

Deckelnick, Klaus, Elliott, Charles M., Ranner, Thomas

Journal:

SIAM Journal on Numerical Analysis

Année:

2014

Langue:

english

Fichier:

PDF, 919 KB

english, 2014

29

Stability and Symmetry in the Navier Problem for the One-Dimensional Willmore Equation

Deckelnick, Klaus, Grunau, Hans-Christoph

Journal:

SIAM Journal on Mathematical Analysis

Année:

2009

Langue:

english

Fichier:

PDF, 574 KB

english, 2009

30

L2 Decay for the Compressible Navier-Stokes Equations in Unbounded Domains

Deckelnick, Klaus

Journal:

Communications in Partial Differential Equations

Année:

1993

Langue:

english

Fichier:

PDF, 642 KB

english, 1993

31

Local and global existence results for anisotropic Hele–Shaw flows

Deckelnick, Klaus, Elliott, Charles M.

Journal:

Proceedings of the Royal Society of Edinburgh Section A Mathematics

Année:

1999

Langue:

english

Fichier:

PDF, 1.06 MB

english, 1999

32

A Navier boundary value problem for Willmore surfaces of revolution

Deckelnick, Klaus, Grunau, Hans-Christoph

Journal:

Analysis (Oldenbourg Wissenschaftsverlag)

Année:

2009

Langue:

english

Fichier:

PDF, 581 KB

english, 2009

33

Convergence of a Finite Element Approximation to a State-Constrained Elliptic Control Problem

Klaus Deckelnick and Michael Hinze

Journal:

SIAM Journal on Numerical Analysis

Année:

2007

Langue:

english

Fichier:

PDF, 1.25 MB

english, 2007

34

Fully Discrete Finite Element Approximation for Anisotropic Surface Diffusion of Graphs

Klaus Deckelnick, Gerhard Dziuk and Charles M. Elliott

Journal:

SIAM Journal on Numerical Analysis

Année:

2006

Langue:

english

Fichier:

PDF, 944 KB

english, 2006

35

Error Analysis for the Elastic Flow of Parametrized Curves

Klaus Deckelnick and Gerhard Dziuk

Journal:

Mathematics of Computation

Année:

2009

Langue:

english

Fichier:

PDF, 1.27 MB

english, 2009

36

A $C^1$–finite element method for the Willmore flow of two-dimensional graphs

Deckelnick, Klaus, Katz, Jakob, Schieweck, Friedhelm

Journal:

Mathematics of Computation

Année:

2015

Langue:

english

Fichier:

PDF, 802 KB

english, 2015

37

An existence and uniqueness result for a phase-field model of diffusion-induced grain-boundary motion

Deckelnick, Klaus, Elliott, Charles M.

Journal:

Proceedings of the Royal Society of Edinburgh Section A Mathematics

Année:

2001

Langue:

english

Fichier:

PDF, 258 KB

english, 2001

38

Analysis and computations for a model of quasi-static deformation of a thinning sheet arising in superplastic forming

DECKELNICK, KLAUS, ELLIOTT, CHARLES M., STYLES, VANESSA

Journal:

European Journal of Applied Mathematics

Année:

2002

Langue:

english

Fichier:

PDF, 922 KB

english, 2002

39

Global minima for semilinear optimal control problems

Ahmad Ali, Ahmad, Deckelnick, Klaus, Hinze, Michael

Journal:

Computational Optimization and Applications

Année:

2016

Langue:

english

Fichier:

PDF, 1017 KB

english, 2016

40

Double obstacle phase field approach to an inverse problem for a discontinuous diffusion coefficient

Deckelnick, Klaus, Elliott, Charles M, Styles, Vanessa

Journal:

Inverse Problems

Année:

2016

Langue:

english

Fichier:

PDF, 1.65 MB

english, 2016

41

Error Analysis of a Semidiscrete Numerical Scheme for Diffusion in Axially Symmetric Surfaces

Klaus Deckelnick, Gerhard Dziuk and Charles M. Elliott

Journal:

SIAM Journal on Numerical Analysis

Année:

2004

Langue:

english

Fichier:

PDF, 566 KB

english, 2004

42

An Optimal Shape Design Problem for Plates

Deckelnick, Klaus, Hinze, Michael, Jordan, Tobias

Journal:

SIAM Journal on Numerical Analysis

Année:

2017

Langue:

english

Fichier:

PDF, 2.98 MB

english, 2017

43

Numerical Analysis for a System Coupling Curve Evolution to Reaction Diffusion on the Curve

Barrett, John W., Deckelnick, Klaus, Styles, Vanessa

Journal:

SIAM Journal on Numerical Analysis

Année:

2017

Langue:

english

Fichier:

PDF, 329 KB

english, 2017

44

An Obstacle Problem for Elastic Graphs

Dall'Acqua, Anna, Deckelnick, Klaus

Journal:

SIAM Journal on Mathematical Analysis

Année:

2018

Langue:

english

Fichier:

PDF, 260 KB

english, 2018

45

Optimal error Estimates for the Stokes and Navier–Stokes equations with slip–boundary condition

Bänsch, Eberhard, Deckelnick, Klaus

Journal:

ESAIM Mathematical Modelling and Numerical Analysis

Année:

1999

Langue:

english

Fichier:

PDF, 391 KB

english, 1999

46

Geometric Partial Differential Equations: Surface and Bulk Processes

Deckelnick, Klaus, Elliott, Charles, Kornhuber, Ralf, Sethian, James

Journal:

Oberwolfach Reports

Année:

2015

Langue:

english

Fichier:

PDF, 4.81 MB

english, 2015

47

Error analysis of a finite element method for the Willmore flow of graphs

Deckelnick, Klaus, Dziuk, Gerhard

Journal:

Interfaces and Free Boundaries

Année:

2006

Langue:

english

Fichier:

PDF, 1024 KB

english, 2006

48

Uniqueness and error analysis for Hamilton-Jacobi equations with discontinuities

Deckelnick, Klaus, Elliott, Charles

Journal:

Interfaces and Free Boundaries

Année:

2004

Langue:

english

Fichier:

PDF, 334 KB

english, 2004

49

Hamilton–Jacobi equations on an evolving surface

Deckelnick, Klaus, Elliott, Charles M., Miura, Tatsu-Hiko, Styles, Vanessa

Journal:

Mathematics of Computation

Année:

2019

Langue:

english

Fichier:

PDF, 1.11 MB

english, 2019

50

Error analysis for the elastic flow of parametrized curves

Deckelnick, Klaus, Dziuk, Gerhard

Journal:

Mathematics of Computation

Année:

2008

Langue:

english

Fichier:

PDF, 726 KB

english, 2008