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Finite element methods for surface PDEs

Acta numerica, 2013-05, Vol.22, p.289-396

2013

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L^2-estimates for the evolving surface finite element method

Mathematics of computation, 2013-01, Vol.82 (281), p.1-24

2013

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Error Analysis for the Elastic Flow of Parametrized Curves

Mathematics of computation, 2009-01, Vol.78 (266), p.645-671

2009

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Computation of geometric partial differential equations and mean curvature flow

Acta numerica, 2005-05, Vol.14, p.139-232

2005

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Theorie und Numerik partieller Differentialgleichungen

Dziuk, Gerhard

1. Aufl., 2010

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Computational parametric Willmore flow

Numerische Mathematik, 2008-11, Vol.111 (1), p.55-80

Dziuk, Gerhard

2008

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An Adaptive Finite Element Method for the Laplace-Beltrami Operator on Implicitly Defined Surfaces

SIAM journal on numerical analysis, 2007-01, Vol.45 (1), p.421-442

2007

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Theorie und Numerik partieller Differentialgleichungen

Dziuk, Gerhard

1, 2010

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Finite element approximations to surfaces of prescribed variable mean curvature

Numerische Mathematik, 2006-02, Vol.102 (4), p.611-648, Article 611

2006

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Mathematical Aspects of Evolving Interfaces: Lectures given at the C.I.M.-C.I.M.E. joint Euro-Summer School held in Madeira, Funchal, Portugal, July 3-9, 2000

2003

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A FULLY DISCRETE EVOLVING SURFACE FINITE ELEMENT METHOD

SIAM journal on numerical analysis, 2012-01, Vol.50 (5), p.2677-2694

2012

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L²-ESTIMATES FOR THE EVOLVING SURFACE FINITE ELEMENT METHOD

Mathematics of computation, 2013-01, Vol.82 (281), p.1-24

2013

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The discrete Plateau Problem: Algorithm and numerics

Mathematics of computation, 1999-01, Vol.68 (225), p.1-23

1999

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An h-narrow band finite-element method for elliptic equations on implicit surfaces

IMA journal of numerical analysis, 2010-04, Vol.30 (2), p.351-376

2010

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Scalar conservation laws on moving hypersurfaces

Interfaces and free boundaries, 2013-01, Vol.15 (2), p.203-236

2013

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The discrete plateau problem: Convergence results

Mathematics of computation, 1999-04, Vol.68 (226), p.519-546

1999

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Evolution of elastic curves in Rn: Existence and computation

SIAM journal on mathematical analysis, 2002, Vol.33 (5), p.1228-1245

2002

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Eulerian finite element method for parabolic PDEs on implicit surfaces

Interfaces and free boundaries, 2008-01, Vol.10 (1), p.119-138

2008

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

Interfaces and free boundaries, 2006-01, Vol.8 (1), p.21-46

2006

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Discrete Anisotropic Curve Shortening Flow

SIAM journal on numerical analysis, 1999, Vol.36 (6), p.1808-1830

Dziuk, Gerhard

1999

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A fully discrete numerical scheme for weighted mean curvature flow

Numerische Mathematik, 2002-05, Vol.91 (3), p.423-452

2002

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Wenn Kristalle im Computer wachsen

Forschung (Boppard), 2002-09, Vol.27 (1-2), p.19-20

2002

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Error estimates for a semi-implicit fully discrete finite element scheme for the mean curvature flow of graphs

Interfaces and free boundaries, 2000, Vol.2 (4), p.341-359

2000

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Fully Discrete Finite Element Approximation for Anisotropic Surface Diffusion of Graphs

SIAM journal on numerical analysis, 2005-01, Vol.43 (3), p.1112-1138

2005

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Geometric Partial Differential Equations: Theory, Numerics and Applications

Oberwolfach reports, 2012-07, Vol.8 (4), p.3077-3144

2012

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Finite element methods for surface PDEs

L^2-estimates for the evolving surface finite element method

Error Analysis for the Elastic Flow of Parametrized Curves

Computation of geometric partial differential equations and mean curvature flow

Theorie und Numerik partieller Differentialgleichungen

Computational parametric Willmore flow

An Adaptive Finite Element Method for the Laplace-Beltrami Operator on Implicitly Defined Surfaces

Theorie und Numerik partieller Differentialgleichungen

Finite element approximations to surfaces of prescribed variable mean curvature

Mathematical Aspects of Evolving Interfaces: Lectures given at the C.I.M.-C.I.M.E. joint Euro-Summer School held in Madeira, Funchal, Portugal, July 3-9, 2000

A FULLY DISCRETE EVOLVING SURFACE FINITE ELEMENT METHOD

L²-ESTIMATES FOR THE EVOLVING SURFACE FINITE ELEMENT METHOD

The discrete Plateau Problem: Algorithm and numerics

An h-narrow band finite-element method for elliptic equations on implicit surfaces

Scalar conservation laws on moving hypersurfaces

The discrete plateau problem: Convergence results

Evolution of elastic curves in Rn: Existence and computation

Eulerian finite element method for parabolic PDEs on implicit surfaces

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

Discrete Anisotropic Curve Shortening Flow

A fully discrete numerical scheme for weighted mean curvature flow

Wenn Kristalle im Computer wachsen

Error estimates for a semi-implicit fully discrete finite element scheme for the mean curvature flow of graphs

Fully Discrete Finite Element Approximation for Anisotropic Surface Diffusion of Graphs

Geometric Partial Differential Equations: Theory, Numerics and Applications

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