This book describes the mathematical theory of regularizing element transformations as foundation for mesh smoothing. It gives a thorough introduction to GETMe based mesh smoothing and its algorithms providing a framework to focus on efficiently improving minimal element quality, overal mesh quality, and mesh validity.
This book describes the mathematical theory of regularizing element transformations as foundation for mesh smoothing. It gives a thorough introduction to GETMe based mesh smoothing and its algorithms providing a framework to focus on efficiently improving minimal element quality, overal mesh quality, and mesh validity.
Dr. Dimitris Vartziotis studied Aeronautical and Space Engineering (MSc) (Prof. John Argyris) and Civil Engineering (MSc). He carried out his PhD Thesis in Computational Mechanics. He worked as a scientific executive in IBM Germany. He founded and manages the companies ¿¿¿¿ ¿¿¿¿ and TWT GmbH. TWT GmbH has been awarded first place for innovation and overall evaluation amongst the top German automotive companies. His research focuses on scientific technology and theoretical Mathematics. He publishes in international scientific journals of publishing houses such as Elsevier and Springer. Moreover, he is a reviewer for the European Mathematical Society (zbMATH) and the American Mathematical Society (AMS). Dr. Joachim Wipper studied mathematics and computer sciences with an emphasis on numerical mathematics and computer aided geometric design. From 1999 he worked as scientific employee at the Mathematical Institute of Stuttgart University and earned his doctorate degree in 2005 working on a spline based finite element method. In 2006 he changed to TWT GmbH Science & Innovation working on industrial and research projects covering engineering and mathematical topics. Since 2013 he is employed in the Research & Development department of TRUMPF Werkzeugmaschinen GmbH & Co. KG.
Inhaltsangabe
Introduction. Elements and Meshes. The Finite Element Method. Mesh Improvement. Regularizing Element Transformations. The GETMe Smoothing Framework. Numerical examples. Extending the GETMe Framework. References. Index.
Introduction. Elements and Meshes. The Finite Element Method. Mesh Improvement. Regularizing Element Transformations. The GETMe Smoothing Framework. Numerical examples. Extending the GETMe Framework. References. Index.
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