A modified multilevel algorithm for large-scale scientific and engineering computing
From MaRDI portal
Publication:2203912
DOI10.1016/j.camwa.2018.12.012zbMath1442.65429OpenAlexW2905032269WikidataQ128752652 ScholiaQ128752652MaRDI QIDQ2203912
Publication date: 2 October 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2018.12.012
Laplace equationHelmholtz equationmodified dual-level algorithmmodified multilevel algorithmboundary-type discretization methods
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25)
Related Items
Recent Advances and Emerging Applications of the Singular Boundary Method for Large-Scale and High-Frequency Computational Acoustics, Singular boundary method: a review and computer implementation aspects, Rapid calculation of large-scale acoustic scattering from complex targets by a dual-level fast direct solver, Augmented moving least squares approximation using fundamental solutions, A complex variable boundary point interpolation method for the nonlinear Signorini problem, Analysis of an augmented moving least squares approximation and the associated localized method of fundamental solutions, Transient wave propagation dynamics with edge-based smoothed finite element method and Bathe time integration technique, Analysis of transient wave propagation in inhomogeneous media using edge-based gradient smoothing technique and Bathe time integration method, Edged-based smoothed point interpolation method for acoustic radiation with perfectly matched layer, A regularized method of moments for three-dimensional time-harmonic electromagnetic scattering, Mixed finite element method for the nonlinear time-fractional stochastic fourth-order reaction-diffusion equation, A regularized approach evaluating origin intensity factor of singular boundary method for Helmholtz equation with high wavenumbers, Hybrid FEM-SBM solver for structural vibration induced underwater acoustic radiation in shallow marine environment, Local knot method for 2D and 3D convection-diffusion-reaction equations in arbitrary domains, A Dual-Level Method of Fundamental Solutions in Conjunction with Kernel-Independent Fast Multipole Method for Large-Scale Isotropic Heat Conduction Problems, A Localized Space-Time Method of Fundamental Solutions for Diffusion and Convection-Diffusion Problems, Integrating Krylov Deferred Correction and Generalized Finite Difference Methods for Dynamic Simulations of Wave Propagation Phenomena in Long-Time Intervals, Variational multiscale interpolating element-free Galerkin method for the nonlinear Darcy-Forchheimer model, The rapid assessment for three-dimensional potential model of large-scale particle system by a modified multilevel fast multipole algorithm, A truly meshfree method for solving acoustic problems using local weak form and radial basis functions, A novel triangular element with continuous nodal acoustic pressure gradient for acoustic scattering problems, Retracted: A hybrid finite element-meshfree method based on partition of unity for transient wave propagation problems in homogeneous and inhomogeneous media, A homogenization function method for inverse heat source problems in 3D functionally graded materials, High-precision calculation of electromagnetic scattering by the Burton-Miller type regularized method of moments, A Coupled FE-Meshfree Triangular Element for Acoustic Radiation Problems, Dispersion Reduction for the Wave Propagation Problems Using a Coupled “FE-Meshfree” Triangular Element, An improved boundary point interpolation method for exterior acoustic radiation problem, Localized method of fundamental solutions for interior Helmholtz problems with high wave number, A regularized fast multipole method of moments for rapid calculation of three-dimensional time-harmonic electromagnetic scattering from complex targets, Boundary moving least square method for numerical evaluation of two-dimensional elastic membrane and plate dynamics problems
Uses Software
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
- FMM-Yukawa: an adaptive fast multipole method for screened Coulomb interactions
- Band gap calculations of photonic crystals by singular boundary method
- Nonlinear analysis of Reissner plates on an elastic foundation by the BEM
- A modified dual-level algorithm for large-scale three-dimensional Laplace and Helmholtz equation
- A frequency domain formulation of the singular boundary method for dynamic analysis of thin elastic plate
- Boundary function method for inverse geometry problem in two-dimensional anisotropic heat conduction equation
- Improved non-singular method of fundamental solutions for two-dimensional isotropic elasticity problems with elastic/rigid inclusions or voids
- A non-singular method of fundamental solutions for two-dimensional steady-state isotropic thermoelasticity problems
- Single layer regularized meshless method for three dimensional exterior acoustic problem
- Explicit empirical formula evaluating original intensity factors of singular boundary method for potential and Helmholtz problems
- A typical backward substitution method for the simulation of Helmholtz problems in arbitrary 2D domains
- Indirect boundary integral equation method for the Cauchy problem of the Laplace equation
- Optimal sources in the MFS by minimizing a new merit function: energy gap functional
- The element-free Galerkin method for the nonlinear \(p\)-Laplacian equation
- A generalized element-free Galerkin method for Stokes problem
- Non-singular method of fundamental solutions for elasticity problems in three-dimensions
- A meshless method for generalized linear or nonlinear Poisson-type problems
- Three-dimensional dispersion analysis and stabilized finite element methods for acoustics
- A modified dual-level fast multipole boundary element method based on the Burton-Miller formulation for large-scale three-dimensional sound field analysis
- Fast multipole accelerated singular boundary method for the 3D Helmholtz equation in low frequency regime
- Numerical investigation on the obliquely incident water wave passing through the submerged breakwater by singular boundary method
- A novel meshless method for fully nonlinear advection-diffusion-reaction problems to model transfer in anisotropic media
- Analysis of the element-free Galerkin method for Signorini problems
- A modified singular boundary method for three-dimensional high frequency acoustic wave problems
- A boundary-only treatment by singular boundary method for two-dimensional inhomogeneous problems
- Three-dimensional complex variable element-free Galerkin method
- A dual-level method of fundamental solutions for three-dimensional exterior high frequency acoustic problems
- Evaluation of hypersingular and nearly singular integrals in the isogeometric boundary element method for acoustics
- A fast isogeometric BEM for the three dimensional Laplace- and Helmholtz problems
- A collocation BEM for 3D acoustic problems based on a non-singular Burton-Miller formulation with linear continuous elements
- Analysis of three-dimensional anisotropic heat conduction problems on thin domains using an advanced boundary element method
- A boundary-type meshless solver for transient heat conduction analysis of slender functionally graded materials with exponential variations
- An Improved Hierarchical ACA Technique for Sound Absorbent Materials
- Hierarchical Adaptive Cross Approximation GMRES Technique for Solution of Acoustic Problems Using the Boundary Element Method
- Application of hybrid-Trefftz element approach to transient heat conduction analysis
- Multiscale Bases for the Sparse Representation of Boundary Integral Operators on Complex Geometry
- Application of Smoothed Finite Element Method to Two-Dimensional Exterior Problems of Acoustic Radiation
- Error bounds of singular boundary method for potential problems
- Singular boundary method based on time‐dependent fundamental solutions for active noise control
- Solution of Two-Dimensional Stokes Flow Problems Using Improved Singular Boundary Method
- Evaluating the Origin Intensity Factor in the Singular Boundary Method for Three-Dimensional Dirichlet Problems
- Simulation of Seismic Wave Scattering by Embedded Cavities in an Elastic Half-Plane Using the Novel Singular Boundary Method
- Singular Boundary Method to Simulate Scattering of SH Wave by the Canyon Topography
- Precorrected-FFT Accelerated Singular Boundary Method for Large-Scale Three-Dimensional Potential Problems
- A modified dual-level fast multipole boundary element method for large-scale three-dimensional potential problems