Robust a priori error analysis for the approximation of degree-one Ginzburg-Landau vortices

Sören Bartels

Displaying similar documents to “Robust a priori error analysis for the approximation of degree-one Ginzburg-Landau vortices”

Analysis of gradient flow of a regularized Mumford-Shah functional for image segmentation and image inpainting

Xiaobing Feng, Andreas Prohl (2004)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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This paper studies the gradient flow of a regularized Mumford-Shah functional proposed by Ambrosio and Tortorelli (1990, 1992) for image segmentation, and adopted by Esedoglu and Shen (2002) for image inpainting. It is shown that the gradient flow with $L^{2} \times L^{\infty}$ initial data possesses a global weak solution, and it has a unique global in time strong solution, which has at most finite number of point singularities in the space-time, when the initial data are in $H^{1} \times H^{1} \cap L^{\infty}$ . A family of fully discrete approximation...

A dual mesh method for a nonlocal thermistor problem.

El Hachimi, Abderrahmane, Sidi Ammi, Moulay Rchid, Torres, Delfim F.M. (2006)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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Sharp upper global a posteriori error estimates for nonlinear elliptic variational problems

János Karátson, Sergey Korotov (2009)

Applications of Mathematics

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The paper is devoted to the problem of verification of accuracy of approximate solutions obtained in computer simulations. This problem is strongly related to a posteriori error estimates, giving computable bounds for computational errors and detecting zones in the solution domain where such errors are too large and certain mesh refinements should be performed. A mathematical model embracing nonlinear elliptic variational problems is considered in this work. Based on functional type...

Duality based a posteriori error estimates for higher order variational inequalities with power growth functionals.

Bildhauer, Michael, Fuchs, Martin, Repin, Sergey (2008)

Annales Academiae Scientiarum Fennicae. Mathematica

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Fully discrete Galerkin schemes for the nonlinear and nonlocal Hartree equation.

Aschbacher, Walter H. (2009)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Numerical approximation of a nonlinear Sturm-Liouville problem on an infinite interval

Descloux, J., Rappaz, J.

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Approximation of a nonlinear elliptic problem arising in a non-newtonian fluid flow model in glaciology

Roland Glowinski, Jacques Rappaz (2003)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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The main goal of this article is to establish a priori and a posteriori error estimates for the numerical approximation of some non linear elliptic problems arising in glaciology. The stationary motion of a glacier is given by a non-newtonian fluid flow model which becomes, in a first two-dimensional approximation, the so-called infinite parallel sided slab model. The approximation of this model is made by a finite element method with piecewise polynomial functions of degree 1. Numerical...