A modified dual-level algorithm for large-scale three-dimensional Laplace and Helmholtz equation
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Publication:1624406
DOI10.1007/s00466-018-1536-2zbMath1459.65229OpenAlexW2782761307WikidataQ59296467 ScholiaQ59296467MaRDI QIDQ1624406
Publication date: 16 November 2018
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00466-018-1536-2
preconditioningmeshless methodHelmholtz equation with large wavenumberlarge-scale potential problemmodified dual-level algorithm
Vibrations in dynamical problems in solid mechanics (74H45) Boundary element methods for boundary value problems involving PDEs (65N38)
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Cites Work
- Unnamed Item
- Unnamed Item
- Singular boundary method using time-dependent fundamental solution for scalar wave equations
- A kernel-independent adaptive fast multipole algorithm in two and three dimensions
- Dispersion free analysis of acoustic problems using the alpha finite element method
- Advances in iterative methods and preconditioners for the Helmholtz equation
- An adaptive fast multipole boundary element method for three-dimensional acoustic wave problems based on the Burton-Miller formulation
- The method of fundamental solutions for elliptic boundary value problems
- Single layer regularized meshless method for three dimensional Laplace problem
- A non-singular method of fundamental solutions for two-dimensional steady-state isotropic thermoelasticity problems
- The birth of the boundary element method from conception to application
- Single layer regularized meshless method for three dimensional exterior acoustic problem
- On the ill-conditioned nature of \(C^\infty\) RBF strong collocation
- Explicit empirical formula evaluating original intensity factors of singular boundary method for potential and Helmholtz problems
- A smoothed finite element method for exterior Helmholtz equation in two dimensions
- A fast semi-discrete Kansa method to solve the two-dimensional spatiotemporal fractional diffusion equation
- Fast multipole accelerated singular boundary method for the 3D Helmholtz equation in low frequency regime
- Analysis of the complex moving least squares approximation and the associated element-free Galerkin method
- Method of particular solutions using polynomial basis functions for the simulation of plate bending vibration problems
- Analytical evaluation of the origin intensity factor of time-dependent diffusion fundamental solution for a matrix-free singular boundary method formulation
- A double-layer interpolation method for implementation of BEM analysis of problems in potential theory
- A modified singular boundary method for three-dimensional high frequency acoustic wave problems
- Vibration of structures containing compressible liquids with surface tension and sloshing effects. Reduced-order model
- A Petrov-Galerkin finite element scheme for the regularized long wave equation
- Why it is Difficult to Solve Helmholtz Problems with Classical Iterative Methods
- Singular Boundary Method: Three RegularizationApproaches and ExteriorWave Applications
- Hypersingular meshless method for solving 3D potential problems with arbitrary domain
- An Accelerated Kernel-Independent Fast Multipole Method in One Dimension
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?
- Error bounds of singular boundary method for potential problems
- Solution of Two-Dimensional Stokes Flow Problems Using Improved Singular Boundary Method
- Improved Integral Formulation for Acoustic Radiation Problems
- The application of integral equation methods to the numerical solution of some exterior boundary-value problems
- A fast algorithm for particle simulations
