ON FUNDAMENTAL ASPECTS OF EXTERIOR APPROXIMATIONS WITH INFINITE ELEMENTS

DOI10.1142/S0218396X00000054zbMath1360.76143OpenAlexW4253684699MaRDI QIDQ2981652

Frank Ihlenburg

Publication date: 9 May 2017

Published in: Journal of Computational Acoustics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218396x00000054

Mathematics Subject Classification ID

Related Items (7)

A survey of finite element methods for time-harmonic acoustics ⋮ The stability of infinite element schemes for transient wave problems ⋮ Parallel iterative solution for the Helmholtz equation with exact non-reflecting boundary conditions ⋮ THREE-DIMENSIONAL INFINITE ELEMENTS BASED ON A TREFFTZ FORMULATION ⋮ Unnamed Item ⋮ Higher order finite and infinite elements for the solution of Helmholtz problems ⋮ Improved conditioning of infinite elements for exterior acoustics

Cites Work

• On accuracy conditions for the numerical computation of waves
• Exact non-reflecting boundary conditions
• Convergence of the infinite element methods for the Helmholtz equation in separable domains
• Prolate and oblate spheroidal acoustic infinite elements
• The conjugated vs. the unconjugated infinite element method for the Helmholtz equation in exterior domains
• A comparison of approximate boundary conditions and infinite element methods for exterior Helmholtz problems
• An expansion theorem for electromagnetic fields
• Mapped Wave Envelope Elements for Acoustical Radiation and Scattering

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