Infinite elements for wave problems: a review of current formulations and an assessment of accuracy

By R. Astley. 2000

280 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics, Electrical and Electronic Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/0c6d0fcbd2f79e6b3dd93067f9f99f5830f8ab9c

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In Atomic and Molecular Physics, and Optics

In Electrical and Electronic Engineering

In Mechanics of Materials

Citations in the corpus

High‐order doubly asymptotic open boundaries for scalar wave equation (2009, background): “Excellent literature reviews are available in papers [1–6] and books [7–10].”
Elastic PMLs for resonator anchor loss simulation (2005, methodology): “[40, Chapter 8],[18, 19, 5 ]. Each of these methods truncates the simulation domain with an articial boundary at which outgoing waves are absorbed.”
A review of finite-element methods for time-harmonic acoustics (2006, methodology): “…trial solutions in the region Ω X exterior to Γ are usually separated into radial and angular functions; for a spherical boundary Γ with radius R , [5]: In the above, N µ are angular basis functions which match the interior ﬁnite element discretization on the surface Γ. Radial functions are deﬁned…”
A survey of finite element methods for time-harmonic acoustics (2006, methodology): “The development of the method from inception [30] to its state a decade ago is described in the monograph [14], and subsequent development in the reviews [15,31], and references therein.”
A continued‐fraction‐based high‐order transmitting boundary for wave propagation in unbounded domains of arbitrary geometry (2008, background): “Infinite elements [ 5 , 17] use decay functions representing the wave propagation toward infinity as shape functions of the displacements.”
The Boundary Element Method in Acoustics: A Survey (2019, methodology): “If the FEM is applied to exterior problems then techniques such as infinite elements [66] can be used to complete the outer mesh or the perfectly matched layer may be used to absorb outgoing waves [67–69].”