Effects of the convergence tolerance of iterative methods used in the boundary element method on the calculation results of sound fields in rooms

Benchmarking of finite-difference time-domain method and fast multipole boundary element method for room acoustics

“…In the context of room acoustics, a similar convergence study has been presented in Ref. [13] in which the tolerances were chosen as 10 −1 , 10 −2 , 10 −4 and 10 −6 in the discussion. However, the tolerance of 10 −3 was missing from the study.…”

“…The frequency domain BEM is known as a convenient numerical method for unbounded acoustic problems as its integral equation inherently satisfies the Sommerfeld radiation condition [11]. The fast multipole method (FMM) [12] enables BEM to handle large acoustic models at high frequencies, thus making it more efficient in solving large bounded problems such as room acoustics [13,14,15]. As a classical time-domain simulation method, FDTD has shown good capabilities in a wide range of acoustic applications including room acoustic simulations [1,16,17].…”

Potential of Room Acoustic Solver with Plane-Wave Enriched Finite Element Method

“…This is an extremely important aspect because room acoustic simulations specifically address large room models and require wideband frequency components with fine frequency resolution especially for calculating room impulse responses. For reference, such an evaluation using frequency-domain methods can be found in earlier reports of the literature [16,23,24]. This study is the first attempt at revealing the PUFEM performance for wideband frequency response analysis in room acoustic problems with quantitative evaluation in accuracy.…”

“…The finite element method (FEM) [1][2][3][4][5], boundary element method (BEM) [6], and finite difference time domain (FDTD) [7][8][9] method exemplify the often-used numerical methods for room acoustic simulations. Although they entail a huge computational effort for acoustic simulations especially at kilohertz frequencies in a real-sized room, their application to room acoustics prediction is increasing gradually by virtue of the progress of computer technology and the continuous development of efficient methods [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24]. In addition, some recent studies [16,18,22,25] use extended-reaction boundary conditions to address both the frequency dependent and incident-angle dependent absorption characteristics of sound absorbers accurately, whereas many studies use the simplest local-reaction boundary conditions, which simplify the incident-angle dependence of surface impedance.…”

On the Robustness and Efficiency of the Plane-Wave-Enriched FEM with Variable q-Approach on the 2D Room Acoustics Problem

“…However, with recent developments in computer technology and efficient solvers, the applicable range of wave-based numerical methods is progressing rapidly for both frequency-domain and time-domain room acoustic simulations [2][3][4][5]. For frequency-domain room acoustics simulation, FEM [6][7][8][9] and the boundary element method [10,11] are standard choices because they can model various sound absorbers more easily than time-domain methods can. In contrast, with the capability of obtaining the impulse response with a single computational run, the following time-domain room acoustic simulations have been developed: the finite-difference time-domain method [12][13][14][15][16], the time-domain FEM [3,[17][18][19], the finite-volume time-domain method [20,21], the pseudospectral time-domain method [22,23], the discontinuous Galerkin FEM [24][25][26][27], and the adaptive rectangular decomposition method [28,29].…”