Picture of DNA strand

Pioneering chemical biology & medicinal chemistry through Open Access research...

Strathprints makes available scholarly Open Access content by researchers in the Department of Pure & Applied Chemistry, based within the Faculty of Science.

Research here spans a wide range of topics from analytical chemistry to materials science, and from biological chemistry to theoretical chemistry. The specific work in chemical biology and medicinal chemistry, as an example, encompasses pioneering techniques in synthesis, bioinformatics, nucleic acid chemistry, amino acid chemistry, heterocyclic chemistry, biophysical chemistry and NMR spectroscopy.

Explore the Open Access research of the Department of Pure & Applied Chemistry. Or explore all of Strathclyde's Open Access research...

Optimized Schwarz methods for heterogeneous Helmholtz and Maxwell's equations

Dolean, Victorita and Gander, Martin J. and Veneros, Erwin and Zhang, Hui (2017) Optimized Schwarz methods for heterogeneous Helmholtz and Maxwell's equations. In: Domain Decomposition Methods in Science and Engineering XXIII. Lecture Notes in Computational Science and Engineering . Springer-Verlag, Berlin, pp. 145-152. ISBN 9783319523897

Full text not available in this repository.Request a copy from the Strathclyde author

Abstract

Both the Helmholtz equation and the time-harmonic Maxwell’s equations are difficult to solve by iterative methods in the intermediate to high frequency regime, and domain decomposition methods are among the most promising techniques for this task. We focus here on the case of dissipative and conductive media with strongly heterogeneous coefficients, and develop optimized transmission conditions for this case. We establish a link for the use of such conditions between the case of Helmholtz and Maxwell’s equations, and show that in both cases jumps aligned with the interfaces of the subdomains can improve the convergence of the subdomain iteration.