Summary
The paper describes the application of the Newton method in conjunction with the Finite Integration Technique. Even on orthogonal grid pairs, the material matrices become nondiagonal and lead to higher algorithmic complexity. A uni-directional version of these matrices provides a computationally inexpensive alternative. The paper compares and discusses the two algorithms' order of convergence and their computational complexity.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2007 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
De Gersem, H., Munteanu, I., Weiland, T. (2007). Newton and Approximate Newton Methods in Combination with the Orthogonal Finite Integration Technique. In: Ciuprina, G., Ioan, D. (eds) Scientific Computing in Electrical Engineering. Mathematics in Industry, vol 11. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71980-9_28
Download citation
DOI: https://doi.org/10.1007/978-3-540-71980-9_28
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-71979-3
Online ISBN: 978-3-540-71980-9
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)