Solving short wave problems using high order finite elements
Konstantinos Christodoulou  1, @  , Omar Laghrouche  1, *, @  , Shadi Mohamed  1, @  , Jon Trevelyan  2, @  
1 : Heriot-Watt University  (Institute for Infrastructure & Environment)  -  Website
School of the Built Environment Riccarton Edinburgh EH14 4AS -  United Kingdom
2 : School of Engineering and Computing Sciences  -  Website
South Road, DH1 3LE Durham -  United Kingdom
* : Corresponding author

In this paper, we study numerical solutions of Helmholtz problems using high order finite element formulations. These include the polynomial high-order finite element method (p-FEM) and the partition of unity finite element method (PUFEM). The aim of the study is to solve efficiently and with high level of accuracy two dimensional problems at high frequencies. The performance of both methods is compared and analysed on several test examples.

 

 

Subject : : oral
Topics : Waves and Electromagnetics
Keywords : Helmholtz equation ; weak variational formulation ; partition of unity finite element method ; high order finite element method ; diffracted waves ; evanescent waves
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