Abstract
Chapter 8 reviews the developments of variational methods applied to grid generation. Variational grid generation relies on functionals related to grid quality: smoothness, orthogonality, regularity, aspect ratio, adaptivity, etc. By the minimization of a combination of these functionals, a user can define a compromise grid with the desired properties. The chapter discusses a new variational approach for generating harmonic maps through the minimization of energy functionals. Several versions of the functionals from which harmonic maps can be derived are identified.
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Liseikin, V.D. (2010). Variational Methods. In: Grid Generation Methods. Scientific Computation. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-2912-6_8
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DOI: https://doi.org/10.1007/978-90-481-2912-6_8
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Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-2911-9
Online ISBN: 978-90-481-2912-6
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