Abstract
Chapter 8 introduces multidomain methods to compute problems in geometries that are more complex than a quadrilateral with curved sides. In multidomain spectral methods, and spectral element methods in particular, the domain of interest is subdivided into smaller subdomains that are mapped individually onto the square, allowing problems in truly complex geometries to be solved. Spectral element methods are introduced for one space dimension then generalized to two. Benchmark solutions include steady temperatures in a long cylindrical rod, propagation of a circular sound wave in a disk, and transmission and reflection of a plane wave at a material interface.
Access provided by Autonomous University of Puebla. Download to read the full chapter text
Chapter PDF
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2009 Springer Science + Business Media B.V.
About this chapter
Cite this chapter
Kopriva, D.A. (2009). Spectral Element Methods. In: Implementing Spectral Methods for Partial Differential Equations. Scientific Computation. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-2261-5_8
Download citation
DOI: https://doi.org/10.1007/978-90-481-2261-5_8
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-2260-8
Online ISBN: 978-90-481-2261-5
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)