Mathematical Aspects of Numerical Grid Generation
Mathematical Aspects of Numerical Grid Generation
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 to provide a deeper understanding of the algorithms and their imitations. Variational methods are emphasized because they are more robust, but elliptic and transcendental algebraic methods are also considered.
Reviews & endorsements
'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 Reviews
Product details
No date availablePaperback
9780898712674
171 pages
255 × 176 × 10 mm
0.322kg
Table of Contents
- Preface
- 1. Introduction J .E. Castillo and S. Steinberg
- 2. Elliptic Grid Generation and Conformal Mapping C. W. Mastin
- 3. Continuum Variational Formulation J. E. Castillo
- 4. Discrete Variational Grid Generation J. E. Castillo
- 5. Bifurcation of Grids on Curves S. Steinberg and P. J. Roache
- 6. Intrinsic Algebraic Grid Generation P. M. Knupp
- 7. Surface Grid Generation and Differential Geometry Z. U. A. Warsi
- 8. Harmonic Maps in Grid Generation A. Dvinsky
- 9. On Harmonic Maps G. Liao
- 10. Mathematical Aspects of Harmonic Grid Generation S. S. Sritharan
- References
- Index.
