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Finite Element Mesh Generation

Highlights the Progression of Meshing Technologies and Their Applications

Finite Element Mesh Generation provides a concise and comprehensive guide to the application of finite element mesh generation over 2D domain names, curved surfaces, and 3D space. Organised in line with the geometry and dimension of the issue domain names, it develops from the basic meshing algorithms to probably the most advanced schemes to care for problems with specific requirements such as boundary conformity, adaptive and anisotropic elements, shape qualities, and mesh optimization.

It sets out the fundamentals of popular techniques, including:

  • Delaunay triangulation
  • Advancing-front (ADF) approach
  • Quadtree/Octree techniques
  • Refinement and optimization-based strategies

From the geometrical and the topological aspects and their associated operations and inter-relationships, every approach is vividly described and illustrated with examples. Beyond the algorithms, the book also explores the practice of the use of metric tensor and surface curvatures for generating anisotropic meshes on parametric space. It presents results from research including 3D anisotropic meshing, mesh generation over unbounded domain names, meshing by way of intersection, re-meshing by Delaunay-ADF approach, mesh refinement and optimization, generation of hexahedral meshes, and large scale and parallel meshing, in conjunction with innovative unpublished meshing methods. The creator provides illustrations of major meshing algorithms, pseudo codes, and programming codes in C++ or FORTRAN.

Geared toward research centers, universities, and engineering companies, Finite Element Mesh Generation describes mesh generation methods and fundamental techniques, and also serves as a valuable reference for laymen and experts alike.

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