Treffer: An analytic mapping of 3-D space to facilitate physical analysis
Title:
An analytic mapping of 3-D space to facilitate physical analysis
Authors:
Source:
Special issue on geometric modeling (Dagstuhl 2005)Computing (Wien. Print). 79(2-4):381-388
Publisher Information:
Wien: Springer, 2007.
Publication Year:
2007
Physical Description:
print, 6 ref
Original Material:
INIST-CNRS
Subject Terms:
Computer science, Informatique, Mathematics, Mathématiques, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Analyse mathématique, Mathematical analysis, Fonctions de plusieurs variables complexes et espaces analytiques, Several complex variables and analytic spaces, Analyse numérique. Calcul scientifique, Numerical analysis. Scientific computation, Analyse numérique, Numerical analysis, Méthodes de calcul scientifique (y compris calcul symbolique, calcul algébrique), Methods of scientific computing (including symbolic computation, algebraic computation), Sciences appliquees, Applied sciences, Informatique; automatique theorique; systemes, Computer science; control theory; systems, Informatique théorique, Theoretical computing, Algorithmique. Calculabilité. Arithmétique ordinateur, Algorithmics. Computability. Computer arithmetics, Algorithme, Algorithm, Algoritmo, Analyse numérique, Numerical analysis, Análisis numérico, Calcul 3 dimensions, Three-dimensional calculations, Calcul scientifique, Scientific computation, Computación científica, Condition aux limites, Boundary condition, Condiciones límites, Equation Laplace, Laplace equation, Ecuación Laplace, Fonction propre, Eigenfunction, Función propia, Polynôme, Polynomial, Polinomio, Solution exacte, Exact solution, Solución exacta, 32XX, 35J05, 35J55, 65Z05.; Mesh generation, partial differential equation
Document Type:
Konferenz
Conference Paper
File Description:
text
Language:
English
Author Affiliations:
Department of Applied Mathematics University of Leeds, Leeds LS2 9JT, United Kingdom
Faculty of Mathematics and Physical Sciences School of Physics and Astronomy University of Leeds, Leeds LS2 9JT, United Kingdom
Faculty of Mathematics and Physical Sciences School of Physics and Astronomy University of Leeds, Leeds LS2 9JT, United Kingdom
ISSN:
0010-485X
Rights:
Copyright 2007 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Computer science; theoretical automation; systems
Mathematics
Mathematics
Accession Number:
edscal.18791845
Database:
PASCAL Archive
Weitere Informationen
A method is presented for the solution of Laplace's equation in three dimensions through the use of a combination of polynomial and eigenfunction solutions. Results are presented comparing the method with an exact solution. Excellent agreement is obtained for economical solution representations. The aproximate analytic solution is supplemented by a correction term to ensure that the boundary conditions for the problem are satified exactly. In this form, the method is used to present calculations for the mapping of a hexahedral space to the unit cube.