title: Boundary regularized integral equation formulation of the Helmholtz equation in acoustics.
abstract: A boundary integral formulation for the solution of the Helmholtz equation is developed in which all traditional singular behaviour in the boundary integrals is removed analytically. The numerical precision of this approach is illustrated with calculation of the pressure field owing to radiating bodies in acoustic wave problems. This method facilitates the use of higher order surface elements to represent boundaries, resulting in a significant reduction in the problem size with improved precision. Problems with extreme geometric aspect ratios can also be handled without diminished precision. When combined with the CHIEF method, uniqueness of the solution of the exterior acoustic problem is assured without the need to solve hypersingular integrals.
authors.affiliation: Department of Mechanical Engineering , National University of Singapore , 10 Kent Ridge Crescent, Singapore 119260, Republic of Singapore.
authors.forename: Qiang
authors.identifier: 0000-0002-4183-1260
authors.initials: Q
authors.lastname: Sun
authors.affiliation: Institute of High Performance Computing , 1 Fusionopolis Way, Singapore 138632, Republic of Singapore.
authors.forename: Evert
authors.initials: E
authors.lastname: Klaseboer
authors.affiliation: Department of Mechanical Engineering , National University of Singapore , 10 Kent Ridge Crescent, Singapore 119260, Republic of Singapore.
authors.forename: Boo-Cheong
authors.initials: BC
authors.lastname: Khoo
authors.affiliation: Department of Mechanical Engineering , National University of Singapore , 10 Kent Ridge Crescent, Singapore 119260, Republic of Singapore ; Institute of High Performance Computing , 1 Fusionopolis Way, Singapore 138632, Republic of Singapore ; Department of Mathematics and Statistics , University of Melbourne , Parkville, Victoria 3010, Australia ; Department of Chemistry and Biotechnology , Swinburne University of Technology , Hawthorn, Victoria 3122, Australia.
authors.forename: Derek Y C
authors.identifier: 0000-0002-2156-074X
authors.initials: DY
authors.lastname: Chan
keywords: Helmholtz equation; boundary integral equation; singularity removal; wave equation