Multi-domain multi-scale problems in high frequency finite element methods

Abstract

Purpose

This paper aims to present a domain decomposition method to overcome the challenges posed by multi-domain, multi-scale high frequency problems.

Design/methodology/approach

A hybrid finite element and boundary integral procedure is also presented that allows for domains to employ different solution methods in different subdomains.

Findings

By decomposing large electromagnetic regions into smaller domains, the finite element method can cope with the simulation of electrically large problems.

Practical implications

Real life examples demonstrate the accuracy and efficiency of the new method.

Originality/value

The Robin transmission condition (RTC) is applied to link the domains and preserve field continuity on interfaces.

Citation

Bardi, I., Zhao, K., Petersson, R., Silvestro, J. and Lambert, N. (2013), "Multi-domain multi-scale problems in high frequency finite element methods", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 32 No. 5, pp. 1471-1483. https://doi.org/10.1108/COMPEL-04-2013-0123