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Isogeometric analysis of acoustic scattering with perfectly matched layers (IGAPML)

Abstract

The perfectly matched layer (PML) formulation is a prominent way of handling radiation problems in unbounded domain and has gained interest due to its simple implementation in finite element codes. However, its simplicity can be advanced further using the isogeometric framework. This work presents a spline based PML formulation which avoids additional coordinate transformation as the formulation is based on the same space in which the numerical solution is sought. The procedure can be automated for any convex artificial boundary. This removes restrictions on the domain construction using PML and can therefore reduce computational cost and improve mesh quality. The usage of spline basis functions with higher continuity also improves the accuracy of the PML-approximation and the numerical solution.
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Category

Academic article

Language

English

Affiliation

  • SINTEF Digital / Mathematics and Cybernetics
  • Norwegian University of Science and Technology

Year

2022

Published in

Computer Methods in Applied Mechanics and Engineering

ISSN

0045-7825

Volume

401

View this publication at Norwegian Research Information Repository