by V. D. Liseikin (Repost)
Publisher: Springer; 2nd ed. edition (November 19, 2009) | ISBN: 9048129117 | Pages: 407 | PDF | 4.48 MB
This book is an introduction to structured and unstructured grid methods
in scientific computing, addressing graduate students, scientists as
well as practitioners. Basic local and integral grid quality measures
are formulated and new approaches to mesh generation are reviewed. In
addition to the content of the successful first edition, a more detailed
and practice oriented description of monitor metrics in Beltrami and
diffusion equations is given for generating adaptive numerical grids.
Also, new techniques developed by the author are presented, in
particular a technique based on the inverted form of Beltrami’s partial
differential equations with respect to control metrics. This technique
allows the generation of adaptive grids for a wide variety of
computational physics problems, including grid clustering to given
function values and gradients, grid alignment with given vector fields,
and combinations thereof. Applications of geometric methods to the
analysis of numerical grid behavior as well as grid generation based on
the minimization of functionals of smoothness, conformality,
orthogonality, energy, and alignment complete the second edition of this
outstanding compendium on grid generation methods.
Acrobat 9.2 is needed for reading