Mathematical Aspects of Numerical Grid Generation
Published on 31. March 1991
Book
Paperback/Softback
171 pages
978-0-89871-267-4 (ISBN)
Description
Numerical grid generation plays a critical role in any scientific computing problem when the geometry of the underlying region is complex or when the solution has a complex structure. The mathematical aspects of grid generation are discussed here to provide a deeper understanding of the algorithms and their limitations. Variational methods are emphasized because they are more robust, but elliptic and transcendental algebraic methods are also considered.
Reviews / Votes
'Numerical grid generation frequently plays a central role in complex numerical modeling problems. Strangely, essentially none of the important methods have been analyzed mathematically. This volume is an excellent start in correcting that situation.' Stanly L. Steinberg (1-NM-S), Mathematical ReviewsMore details
Series
Language
English
Place of publication
New York
United States
Target group
Professional and scholarly
Product notice
Paperback (trade)
Dimensions
Height: 255 mm
Width: 176 mm
Thickness: 10 mm
Weight
322 gr
ISBN-13
978-0-89871-267-4 (9780898712674)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Content
Preface
Chapter 1: Introduction, J. E. Castillo and S. Steinberg
Chapter 2: Elliptic Grid Generation and Conformal Mapping, C. W. Mastin
Chapter 3: Continuum Variational Formulation, J. E. Castillo
Chapter 4: Discrete Variational Grid Generation, J. E. Castillo
Chapter 5: Bifurcation of Grids on Curves, S. Steinberg and P. J. Roache
Chapter 6: Intrinsic Algebraic Grid Generation, P. M. Knupp
Chapter 7: Surface Grid Generation and Differential Geometry, Z. U. A. Warsi
Chapter 8: Harmonic Maps in Grid Generation, A. Dvinsky
Chapter 9: On Harmonic Maps, G. Liao
Chapter 10: Mathematical Aspects of Harmonic Grid Generation, S. S. Sritharan
References
Index.
Chapter 1: Introduction, J. E. Castillo and S. Steinberg
Chapter 2: Elliptic Grid Generation and Conformal Mapping, C. W. Mastin
Chapter 3: Continuum Variational Formulation, J. E. Castillo
Chapter 4: Discrete Variational Grid Generation, J. E. Castillo
Chapter 5: Bifurcation of Grids on Curves, S. Steinberg and P. J. Roache
Chapter 6: Intrinsic Algebraic Grid Generation, P. M. Knupp
Chapter 7: Surface Grid Generation and Differential Geometry, Z. U. A. Warsi
Chapter 8: Harmonic Maps in Grid Generation, A. Dvinsky
Chapter 9: On Harmonic Maps, G. Liao
Chapter 10: Mathematical Aspects of Harmonic Grid Generation, S. S. Sritharan
References
Index.