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An automatic perfectly matched layer for acoustic finite element simulations in convex domains of general shape
This article addresses the efficient finite element solution of exterior acoustic problems with
truncated computational domains surrounded by perfectly matched layers (PMLs). The PML …
truncated computational domains surrounded by perfectly matched layers (PMLs). The PML …
Analysis of magnetic fluid heat transfer in biological tissues subjected to a semi-infinite region by artificial boundary method
C Bao, L Liu, J Zhu, L Feng, C ** domain decomposition method with high-order transmission conditions and cross-point treatment for Helmholtz problems
A non-overlap** domain decomposition method (DDM) is proposed for the parallel finite-
element solution of large-scale time-harmonic wave problems. It is well-known that the …
element solution of large-scale time-harmonic wave problems. It is well-known that the …
A level set based topology optimization for finite unidirectional acoustic phononic structures using boundary element method
H Gao, J Liang, B Li, C Zheng, T Matsumoto - Computer Methods in …, 2021 - Elsevier
The paper presents a level set based topology optimization method for unidirectional
phononic structures with finite layers of lattice cells. Boundary element method (BEM) is …
phononic structures with finite layers of lattice cells. Boundary element method (BEM) is …
A non-overlap** domain decomposition method with perfectly matched layer transmission conditions for the Helmholtz equation
It is well-known that the convergence rate of non-overlap** domain decomposition
methods (DDMs) applied to the parallel finite-element solution of large-scale time-harmonic …
methods (DDMs) applied to the parallel finite-element solution of large-scale time-harmonic …
Local absorbing boundary conditions on fixed domains give order-one errors for high-frequency waves
We consider approximating the solution of the Helmholtz exterior Dirichlet problem for a
nontrap** obstacle, with boundary data coming from plane-wave incidence, by the …
nontrap** obstacle, with boundary data coming from plane-wave incidence, by the …
Stability and convergence analysis of time-domain perfectly matched layers for the wave equation in waveguides
This work is dedicated to the proof of stability and convergence of the Bérenger's perfectly
matched layers (PMLs) in the waveguides for an arbitrary nonnegative L^∞ dam** …
matched layers (PMLs) in the waveguides for an arbitrary nonnegative L^∞ dam** …
Corners and stable optimized domain decomposition methods for the Helmholtz problem
B Després, A Nicolopoulos, B Thierry - Numerische Mathematik, 2021 - Springer
We construct a new Absorbing Boundary Condition (ABC) adapted to solving the Helmholtz
equation in polygonal domains in dimension two. Quasi-continuity relations are obtained at …
equation in polygonal domains in dimension two. Quasi-continuity relations are obtained at …
A unified theory of non-overlap** Robin–Schwarz methods: Continuous and discrete, including cross points
C Pechstein - Journal of Scientific Computing, 2023 - Springer
Non-overlap** Schwarz methods with generalized Robin transmission conditions were
originally introduced by B. Després for time-harmonic wave propagation problems and have …
originally introduced by B. Després for time-harmonic wave propagation problems and have …
A BEM-based topology optimization for acoustic problems considering tangential derivative of sound pressure
This paper employs a new tangential derivative of boundary integral equation for the
optimization problems in the acoustic field with a objective function involving tangential …
optimization problems in the acoustic field with a objective function involving tangential …