Diagonal form fast multipole singular boundary method applied to the solution of high-frequency acoustic radiation and scattering

DOI10.1002/nme.5478zbMath1548.65388MaRDI QIDQ6557429

Chang-Jun Zheng, Wenzhen Qu, Wen Chen

Publication date: 18 June 2024

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

zbMATH Keywords

acoustic radiationacoustic scatteringlarge scalesingular boundary methodhigh frequencyfast multipole

Mathematics Subject Classification ID

Wave scattering in solid mechanics (74J20) Hydro- and aero-acoustics (76Q05) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

Cites Work

• Unnamed Item
• A wideband fast multipole boundary element method for half-space/plane-symmetric acoustic wave problems
• A wideband fast multipole boundary element method for three dimensional acoustic shape sensitivity analysis based on direct differentiation method
• An adaptive fast multipole boundary element method for three-dimensional acoustic wave problems based on the Burton-Miller formulation
• A semi-analytical approach for radiation and scattering problems with circular boundaries
• Rapid solution of integral equations of classical potential theory
• A weakly singular form of the hypersingular boundary integral equation applied to 3-D acoustic wave problems
• Performance of iterative solvers for acoustic problems. I: Solvers and effect of diagonal preconditioning.
• Solutions of 2D and 3D non-homogeneous potential problems by using a boundary element-collocation method
• Diagonal forms of the translation operators in the fast multipole algorithm for scattering problems
• Fast multipole accelerated singular boundary method for the 3D Helmholtz equation in low frequency regime
• The method of approximate particular solutions for solving certain partial differential equations
• Large-Scale Simulations of Acoustic-Structure Interaction Using the Fast Multipole BEM
• Influence of Element Types on Numeric Error for Acoustic Boundary Elements
• Three-dimensional discontinuous Galerkin elements with plane waves and Lagrange multipliers for the solution of mid-frequency Helmholtz problems
• The method of fundamental solutions and quasi-Monte-Carlo method for diffusion equations
• ANALYSIS OF THREE-DIMENSIONAL TRANSIENT ACOUSTIC WAVE PROPAGATION USING THE BOUNDARY INTEGRAL EQUATION METHOD
• Solution of Two-Dimensional Stokes Flow Problems Using Improved Singular Boundary Method
• A new family of continuous/discontinuous three‐dimensional boundary elements with application to acoustic wave propagation
• CAT'S EYE RADIATION WITH BOUNDARY ELEMENTS: COMPARATIVE STUDY ON TREATMENT OF IRREGULAR FREQUENCIES
• APPLICATION OF THE FAST MULTIPOLE BEM FOR STRUCTURAL–ACOUSTIC SIMULATIONS
• A fast algorithm for particle simulations

Related Items (5)

Acoustic sensitivity analysis for 3D structure with constant cross-section using 2.5D singular boundary method ⋮ Learning based numerical methods for acoustic frequency-domain simulation with high frequency ⋮ Acoustic simulation using singular boundary method based on loop subdivision surfaces: a seamless integration of CAD and CAE ⋮ A fast semi-analytical meshless method in two-dimensions ⋮ Three-dimensional elastodynamic analysis employing the generalized finite difference method with arbitrary-order accuracy

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