The boundary element method for acoustic transmission with nonconforming grids

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Linear waves in solid mechanics (74J05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38) Preconditioners for iterative methods (65F08)

Cites Work

Unnamed Item
A high-order integral solver for scalar problems of diffraction by screens and apertures in three-dimensional space
Coupled BEM-FEM for the convected Helmholtz equation with non-uniform flow in a bounded domain
A Nitsche-based domain decomposition method for hypersingular integral equations
Partitioned simulation of fluid-structure interaction. Coupling black-box solvers with quasi-Newton techniques
Coupling finite and boundary element methods for static and dynamic elastic problems with non-conforming interfaces
Fluid-structure interaction for non-conforming interfaces based on a dual mortar formulation
Automated solution of differential equations by the finite element method. The FEniCS book
Domain decomposition methods for domain composition purpose: chimera, overset, gluing and sliding mesh methods
Modern solvers for Helmholtz problems
Boundary integral formulations for acoustic modelling of high-contrast media
Boundary integral equations
Review of coupling methods for non-matching meshes
A direct boundary integral equation method for transmission problems
The construction of some efficient preconditioners in the boundary element method
Boundary element tearing and interconnecting methods
Solving electromagnetic scattering from complex composite objects with domain decomposition method based on hybrid surface integral equations
A Lagrange multiplier method for the finite element solution of elliptic interface problems using non-matching meshes
Load and motion transfer algorithms for fluid/structure interaction problems with non-matching discrete interfaces: Momentum and energy conservation, optimal discretization and application to aeroelasticity
Coupled BE-FE based vibroacoustic modal analysis and frequency sweep using a generalized resolvent sampling method
On high order methods for the heterogeneous Helmholtz equation
Bi-material topology optimization for fully coupled structural-acoustic systems with isogeometric FEM-BEM
Stable and efficient FEM-BEM coupling with OSRC regularisation for acoustic wave transmission
A sample-efficient deep learning method for multivariate uncertainty qualification of acoustic-vibration interaction problems
Bi-parametric operator preconditioning
Integral equations requiring small numbers of Krylov-subspace iterations for two-dimensional smooth penetrable scattering problems
A domain decomposition approach for non-conformal couplings between finite and boundary elements for unbounded electromagnetic problems in \(\mathbb R^{3}\)
Operator preconditioning
Frequency-robust preconditioning of boundary integral equations for acoustic transmission
Multivariate interpolation for fluid-structure-interaction problems using radial basis functions
Multi-Trace Boundary Integral Formulation for Acoustic Scattering by Composite Structures
Structural-acoustic coupling on non-conforming meshes with quadratic shape functions
A nonconforming domain decomposition approximation for the Helmholtz screen problem with hypersingular operator
SIX BOUNDARY ELEMENTS PER WAVELENGTH: IS THAT ENOUGH?
Mortar Boundary Elements
The Validity of Johnson–Nédélec's BEM–FEM Coupling on Polygonal Interfaces
Algorithm 932
An Algorithm for Non-Matching Grid Projections with Linear Complexity
Numerical Approximation Methods for Elliptic Boundary Value Problems
An overview of SuperLU
From Functional Analysis to Iterative Methods
Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
Transmission problems for the Helmholtz equation
On the Coupling of Boundary Integral and Finite Element Methods
Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?
Non-Matching Grids for a Flexible Discretization in Computational Acoustics
Domain Decomposition Preconditioning for Surface Integral Equations in Solving Challenging Electromagnetic Scattering Problems
Coupled Boundary and Finite Element Tearing and Interconnecting Methods
An a Posteriori Error Estimator for a Non-Conforming Domain Decomposition Method for a Harmonic Elastodynamics Equation
Product Algebras for Galerkin Discretisations of Boundary Integral Operators and their Applications
Solving Boundary Integral Problems with BEM++
The Generalized Method of Moments for Electromagnetic Boundary Integral Equations
A posteriori error analysis for a boundary element method with nonconforming domain decomposition
Elasto–acoustic and acoustic–acoustic coupling on non‐matching grids
A Provably Robust Algorithm for Triangle-triangle Intersections in Floating-point Arithmetic
Boundary Element Methods
Acoustic and electromagnetic equations. Integral representations for harmonic problems
A fast, high-order algorithm for the solution of surface scattering problems: Basic implementation, tests, and applications
Finite element methods for flow problems with moving boundaries and interfaces
Does the Helmholtz Boundary Element Method Suffer from the Pollution Effect?
Benchmarking preconditioned boundary integral formulations for acoustics

This page was built for publication: The boundary element method for acoustic transmission with nonconforming grids