A Variational Method for Generating Multidimensional Adaptive Grids

A practical guide to building adaptive computational grids that respond to the problem at hand. This book explains a variational approach to generate multidimensional meshes that stay smooth and avoid tangling while concentrating points where they matter most.

Written for engineers and scientists, it shows how to apply mesh adaptation across one, two, and three dimensions. The text blends theory with numerical results, illustrating how an adaptive grid can improve accuracy without overwhelming computational cost.

• How weight and smoothness functionals shape mesh distribution and guide adaptation


• Techniques to prevent mesh tangling and to handle complex boundaries


• Examples in two and three dimensions, including practical engineering scenarios


• Considerations for implementation, performance comparisons, and future directions

Ideal for readers of computational fluid dynamics and numerical methods seeking a flexible, principled way to resolve challenging problems with adaptive grids.

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