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Topological Aspects (topological + aspect)

Distribution by Scientific Domains
Engineering66%

Selected Abstracts

Topological aspects of meshless methods and nodal ordering for meshless discretizations

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, Issue 9 2001
Arash Yavari
Abstract The meshless element-free Galerkin method (EFGM) is considered and compared to the finite-element method (FEM). In particular, topological aspects of meshless methods as the nodal connectivity and invertibility of matrices are studied and compared to those of the FE method. We define four associated graphs for meshless discretizations of EFGM and investigate their connectivity. The ways that the associated graphs for coupled FE-EFG models might be defined are recommended. The associated graphs are used for nodal ordering of meshless models in order to reduce the bandwidth, profile, maximum frontwidth, and root-mean-square wavefront of the corresponding matrices. Finally, the associated graphs are numerically compared. Copyright © 2001 John Wiley & Sons, Ltd. [source]

Topological aspects of numberings

MLQ- MATHEMATICAL LOGIC QUARTERLY, Issue 2 2003
Wolfram Menzel
Abstract We investigate connections between the syntactic and semantic distance of programs on an abstract, recursion theoretic level. For a certain rather restrictive notion of interdependency of the two kinds of distances, there remain only few and "unnatural" numberings allowing such close relationship. Weakening the requirements leads to the discovery of universal metrics such that for an arbitrary recursively enumerable family of functions a numbering compatible with such a metric can uniformly be constructed. We conclude our considerations with some implications on learning theory. [source]

Topological aspects of meshless methods and nodal ordering for meshless discretizations

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, Issue 9 2001
Arash Yavari
Abstract The meshless element-free Galerkin method (EFGM) is considered and compared to the finite-element method (FEM). In particular, topological aspects of meshless methods as the nodal connectivity and invertibility of matrices are studied and compared to those of the FE method. We define four associated graphs for meshless discretizations of EFGM and investigate their connectivity. The ways that the associated graphs for coupled FE-EFG models might be defined are recommended. The associated graphs are used for nodal ordering of meshless models in order to reduce the bandwidth, profile, maximum frontwidth, and root-mean-square wavefront of the corresponding matrices. Finally, the associated graphs are numerically compared. Copyright © 2001 John Wiley & Sons, Ltd. [source]

Consistency of quasi-static boundary value problems in electromagnetic modelling

INTERNATIONAL JOURNAL OF NUMERICAL MODELLING: ELECTRONIC NETWORKS, DEVICES AND FIELDS, Issue 6 2006
S. Suuriniemi
Abstract This paper analyses the possibility to computationally settle consistency of field problems, especially those arising from electromagnetic modelling: the electromagnetic theory is expressed in field-oriented concepts, which allow for formulation of boundary value problems with no solution at all or infinitely many solutions. This possibility of such inconsistent problems decreases the productivity of electromagnetic design software. This paper relates the consistency question to topological aspects of the model domain, and proposes a scheme for routine computation of the relevant topological aspects of electromagnetic models. Copyright © 2006 John Wiley & Sons, Ltd. [source]

Hall conductivity as a topological invariant

PHYSICA STATUS SOLIDI (B) BASIC SOLID STATE PHYSICS, Issue 6 2005
A. Kunold
Abstract The object of the present work is to study the quantum Hall effect through its symmetries and topological aspects. We consider the model of an electron moving in a two-dimensional lattice in the presence of applied in-plain electric field and perpendicular magnetic field. We refer to this as the two dimensional electric,magnetic Bloch problem (EMB). The Hall conductivity quantization beyond the linear response approximation is analyzed. (© 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) [source]