Displaying similar documents to “Geometric diagram for representing shape quality in mesh refinement”

Mesh r-adaptation for unilateral contact problems

Pierre Béal, Jonas Koko, Rachid Touzani (2002)

International Journal of Applied Mathematics and Computer Science

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We present a mesh adaptation method by node movement for two-dimensional linear elasticity problems with unilateral contact. The adaptation is based on a hierarchical estimator on finite element edges and the node displacement techniques use an analogy of the mesh topology with a spring network. We show, through numerical examples, the efficiency of the present adaptation method.

A multilevel preconditioner for the mortar method for nonconforming finite element

Talal Rahman, Xuejun Xu (2009)

ESAIM: Mathematical Modelling and Numerical Analysis

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A multilevel preconditioner based on the abstract framework of the auxiliary space method, is developed for the mortar method for the nonconforming finite element or the lowest order Crouzeix-Raviart finite element on nonmatching grids. It is shown that the proposed preconditioner is quasi-optimal in the sense that the condition number of the preconditioned system is independent of the mesh size, and depends only quadratically on the number of refinement levels. Some...

High order edge elements on simplicial meshes

Francesca Rapetti (2007)

ESAIM: Mathematical Modelling and Numerical Analysis

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Low order edge elements are widely used for electromagnetic field problems. Higher order edge approximations are receiving increasing interest but their definition become rather complex. In this paper we propose a simple definition for Whitney edge elements of polynomial degree higher than one. We give a geometrical localization of all degrees of freedom over particular edges and provide a basis for these elements on simplicial meshes. As for Whitney edge elements of degree one,...

A well-posed multiscale regularization scheme for digital image denoising

V.B. Surya Prasath (2011)

International Journal of Applied Mathematics and Computer Science

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We propose an edge adaptive digital image denoising and restoration scheme based on space dependent regularization. Traditional gradient based schemes use an edge map computed from gradients alone to drive the regularization. This may lead to the oversmoothing of the input image, and noise along edges can be amplified. To avoid these drawbacks, we make use of a multiscale descriptor given by a contextual edge detector obtained from local variances. Using a smooth transition from the...

Drawing the Shree Yantra Core with Metapost

Luis Nobre Goncalves, Michal Mádr, Pavel Stříž (2009)

Zpravodaj Československého sdružení uživatelů TeXu

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The Shree Yantra Core is a figure composed of nine interlocking isosceles triangles, all inside a circle. This figure is found in some of the oldest hindu temples and contains, in itself, a series of interesting mathematical problems. This article describes an attempt to solve the problem of drawing the Shree Yantra Core with METAPOST.

A survey of subpixel edge detection methods for images of heat-emitting metal specimens

Anna Fabijańska (2012)

International Journal of Applied Mathematics and Computer Science

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In this paper the problem of accurate edge detection in images of heat-emitting specimens of metals is discussed. The images are provided by the computerized system for high temperature measurements of surface properties of metals and alloys. Subpixel edge detection is applied in the system considered in order to improve the accuracy of surface tension determination. A reconstructive method for subpixel edge detection is introduced. The method uses a Gaussian function in order to reconstruct...

Object oriented design philosophy for scientific computing

Philippe R. B. Devloo, Gustavo C. Longhin (2002)

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

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This contribution gives an overview of current research in applying object oriented programming to scientific computing at the computational mechanics laboratory (LABMEC) at the school of civil engineering – UNICAMP. The main goal of applying object oriented programming to scientific computing is to implement increasingly complex algorithms in a structured manner and to hide the complexity behind a simple user interface. The following areas are current topics of research and documented...