Udo F. Meissner: Tensor Calculus with Object-Oriented Matrices for Numerical Methods in Mechanics and Engineering
Tensor Calculus with Object-Oriented Matrices for Numerical Methods in Mechanics and Engineering
Buch
- Fundamentals and Functions for Tensor/Matrix Algorithms of the Finite Element Method
- Springer International Publishing, 10/2024
- Einband: Gebunden, HC runder Rücken kaschiert
- Sprache: Englisch
- ISBN-13: 9783031593017
- Bestellnummer: 12033355
- Umfang: 244 Seiten
- Gewicht: 592 g
- Maße: 246 x 173 mm
- Stärke: 19 mm
- Erscheinungstermin: 19.10.2024
Achtung: Artikel ist nicht in deutscher Sprache!
Klappentext
The intension of the book is to synthesize classical matrix and tensor methods with object-oriented software techniques and efficient matrix methods for numerical algorithms. The aim is to establish a coherent methodological framework through which the tensor-based modeling of physical phenomena can be seamlessly applied in numerical algorithms without encountering methodological inconsistencies across different sub-areas, like indexed notation of tensors and two- dimensional matrix algebra in symbolic notation.The key to an effective solution lies in object-oriented numerical structures and software design. The author presents a coherent integration of tensor-based theory through multi-dimensional matrix calculus to object-oriented numeric classes and methods for adequate simulations.
The index-based tensor and matrix notation and the object-oriented overloading of standard operators in C++ offers an innovative means to define comparable matrix operations for processing matrix objects of higher order. Typical applications demonstrate the advantages of this unique integration.