The Getme Mesh Smoothing Framework: A Geometric Way to Quality Finite Element Meshes

ISBN-13: 9781032094250 / Angielski / Miękka / 2021 / 264 str.

Joachim Wipper

Opis

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.

Spis treści

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.

O autorze

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 ΝΙΚΙ ΜΕΠΕ 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.