Sinossi
Unlock smarter grids that adapt as you compute.
This rigorous thesis introduces a variational approach to generate multidimensional adaptive meshes, helping you resolve complex features with precision and efficiency. This book presents a comprehensive framework for creating stable, smoothly evolving meshes in one, two, and three dimensions. It emphasizes practical techniques that prevent mesh tangling, explains the relationship between mesh structure and numerical accuracy, and discusses how adaptive zoning can boost performance without relying on higher-order schemes.
- Clear explanations of weight and smoothness functionals that guide mesh adaptation
- Applications to challenging fluid-flow problems and detailed comparisons to fixed grids
- Practical methods for implementing boundary conditions and handling corners during adaptation
- Discussion of scalability and how adaptivity can make three-dimensional calculations more feasible
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