Mathematical Aspects of Numerical Grid Generation (Frontiers in Applied Mathematics No. 8)
By: Jose E. Castillo (editor)Paperback
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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.
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.
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