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| Inhalt |
| Numerical simulations in medical or technical applications often
involve objects or material interfaces of geometrically complicated
shape. Composite Finite Elements are an efficient simulation tool for
such problems, particularly for objects given by 3D image data. Using
the uniform hexahedral voxel grid, global meshing is avoided and the
geometry is represented by appropriate basis functions adapted to
either the object boundary or the discontinuity of the coefficient.
In his dissertation, Lars Ole Schwen describes the construction of Composite Finite Elements. After treating isotropic and anisotropic heat diffusion as scalar model problems, the main focus lies on linear elasticity of trabecular structures. The author also presents an efficient multigrid solver tailored to the Composite Finite Element approach and addresses the implementation of the methods. As an application framework, he finally discusses numerical homogenization for periodic and statistically periodic objects. The book is aimed at researchers interested in efficient numerical simulation tools. |
Copyright 1996-2022
Dr. Peter E. Harland
Ernst-Thälmann-Str. 16
07747 Jena