A novel high‐order collocation indirect boundary element method based on the Leis formulation for three‐dimensional high frequency exterior acoustic problems
From MaRDI portal
Publication:6071415
DOI10.1002/nme.7138MaRDI QIDQ6071415
Yao-Ming Zhang, Unnamed Author, Zhuo-Jia Fu
Publication date: 23 November 2023
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
hypersingular integralsindirect BEMhigh frequencyexterior acoustic problemauxiliary integral equation method
Numerical and other methods in solid mechanics (74Sxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Waves in solid mechanics (74Jxx)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An improved form of the hypersingular boundary integral equation for exterior acoustic problems
- Analytical integration of the moments in the diagonal form fast multipole boundary element method for 3-D acoustic wave problems
- An effective method for numerical evaluation of general 2D and 3D high order singular boundary integrals
- A comparison of high-order polynomial and wave-based methods for Helmholtz problems
- A boundary element method for the Helmholtz equation using finite part integration
- A sparse matrix arithmetic based on \({\mathfrak H}\)-matrices. I: Introduction to \({\mathfrak H}\)-matrices
- A new form of the hypersingular boundary integral equation for 3-D acoustics and its implementation with \(C^0\) boundary elements
- Diagonal forms of translation operators for the Helmholtz equation in three dimensions
- The partition of unity finite element method: basic theory and applications
- A novel boundary element approach for solving the 2D elasticity problems
- Evaluating hypersingular integrals of 3D acoustic problems on curved surfaces
- A new fast direct solver for the boundary element method
- Algorithmic aspects of enriched time domain boundary element methods
- A fast direct solver for boundary integral equations in two dimensions
- A modified dual-level fast multipole boundary element method based on the Burton-Miller formulation for large-scale three-dimensional sound field analysis
- Bernstein-Bézier based finite elements for efficient solution of short wave problems
- Pollution studies for high order isogeometric analysis and finite element for acoustic problems
- Enriched isogeometric collocation for two-dimensional time-harmonic acoustics
- A comparison of high-order and plane wave enriched boundary element basis functions for Helmholtz problems
- Hybrid FEM-SBM solver for structural vibration induced underwater acoustic radiation in shallow marine environment
- A dual-level method of fundamental solutions for three-dimensional exterior high frequency acoustic problems
- An isogeometric indirect boundary element method for solving acoustic problems in open-boundary domains
- A collocation BEM for 3D acoustic problems based on a non-singular Burton-Miller formulation with linear continuous elements
- Plane wave enriched partition of unity isogeometric analysis (PUIGA) for 2D-Helmholtz problems
- Isogeometric indirect boundary element method for solving the 3D acoustic problems
- On the BEM for acoustic wave problems
- Über das Dirichletsche Außenraumproblem für die Helmholtzsche Schwingungsgleichung
- A low-frequency fast multipole boundary element method based on analytical integration of the hypersingular integral for 3D acoustic problems
- 3D acoustic wave simulation using BEM formulations: closed form integration of singular and hypersingular integrals
- Zur Eindeutigkeit der Randwertaufgaben der Helmholtzschen Schwingungsgleichung
- Plane wave interpolation in direct collocation boundary element method for radiation and wave scattering: numerical aspects and applications
- Novel basis functions for the partition of unity boundary element method for Helmholtz problems
- Efficient implementation of high‐order finite elements for Helmholtz problems
- A Survey of Trefftz Methods for the Helmholtz Equation
- Hierarchical Adaptive Cross Approximation GMRES Technique for Solution of Acoustic Problems Using the Boundary Element Method
- A new study of the Burton and Miller method for the solution of a 3D Helmholtz problem
- A General Algorithm for the Numerical Solution of Hypersingular Boundary Integral Equations
- Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?
- A Fast Direct Solver for High Frequency Scattering from a Large Cavity in Two Dimensions
This page was built for publication: A novel high‐order collocation indirect boundary element method based on the Leis formulation for three‐dimensional high frequency exterior acoustic problems