An iterative solver for the 3D Helmholtz equation
Keywords: معادله هلمهولتز; Acoustics; Modeling; Helmholtz equation; Iterative methods; Preconditioning;
مقالات ISI معادله هلمهولتز (ترجمه نشده)
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A dispersion minimizing finite difference scheme for the Helmholtz equation based on point-weighting
Keywords: معادله هلمهولتز; Helmholtz equation; Perfectly matched layer; Finite difference scheme; Numerical dispersion;
A smoothed finite element method for exterior Helmholtz equation in two dimensions
Keywords: معادله هلمهولتز; Gradient smoothing technique (GST); Unbounded domains; Numerical method; Helmholtz equation; Underwater acoustic scattering;
Stability on the inverse random source scattering problem for the one-dimensional Helmholtz equation
Keywords: معادله هلمهولتز; Stability; Inverse source problem; Helmholtz equation; Stochastic differential equation;
Robust iterative method for nonlinear Helmholtz equation
Keywords: معادله هلمهولتز; Helmholtz equation; Wave propagation; Kerr nonlinearity; Iterative method; Optical bistability;
Evaluation of hypersingular and nearly singular integrals in the Isogeometric Boundary Element Method for acoustics
Keywords: معادله هلمهولتز; Boundary Element Method; Isogeometric analysis; Numerical integration; Helmholtz equation;
Uniform resolvent estimates and absence of eigenvalues for Lamé operators with complex potentials
Keywords: معادله هلمهولتز; Lamé operator; Helmholtz equation; Spectral Theory; Resolvent estimates;
Adaptive FEM with coarse initial mesh guarantees optimal convergence rates for compactly perturbed elliptic problems
Keywords: معادله هلمهولتز; Adaptive mesh-refinement; Optimal convergence rates; a posteriori error estimate; Helmholtz equation;
A symmetric Trefftz-DG formulation based on a local boundary element method for the solution of the Helmholtz equation
Keywords: معادله هلمهولتز; Helmholtz equation; Pollution effect; Dispersion; Trefftz method; Discontinuous Galerkin method; Boundary element method;
High order local absorbing boundary conditions for acoustic waves in terms of farfield expansions
Keywords: معادله هلمهولتز; Acoustic scattering; Nonreflecting boundary condition; High order absorbing boundary condition; Helmholtz equation; Farfield pattern;
Fading regularization MFS algorithm for the Cauchy problem associated with the two-dimensional Helmholtz equation
Keywords: معادله هلمهولتز; Inverse problems; Cauchy problem; Helmholtz equation; Method of fundamental solutions,;
The effect of geometrical parameters on the characteristics of ultrasonic processing for metal matrix nanocomposites (MMNCs)
Keywords: معادله هلمهولتز; Metal matrix nanocomposites; Ultrasonic processing; Dimensional effect; Acoustic cavitation; Helmholtz equation;
A BEM based methodology to solve inverse problems considering fictitious background media
Keywords: معادله هلمهولتز; Boundary Element Method; Helmholtz equation; Inverse problems; Inhomogeneous media; Variable acoustic velocity profile
A combination of the fast multipole boundary element method and Krylov subspace recycling solvers
Keywords: معادله هلمهولتز; Iterative solvers; Fast Multipole Method; Boundary Element Method; Krylov Subspace Recycling; Helmholtz equation
Optimized double sweep Schwarz method by complete radiation boundary conditions
Keywords: معادله هلمهولتز; Helmholtz equation; Nonoverlapping Schwarz method; Complete radiation boundary condition; Waveguide;
L2-estimates for singular oscillatory integral operators
Keywords: معادله هلمهولتز; Singular integral; Oscillating surface; Maximal operator; Helmholtz equation
A Nitsche-type method for Helmholtz equation with an embedded acoustically permeable interface
Keywords: معادله هلمهولتز; Helmholtz equation; Finite element method; Nitsche’s method; Acoustic impedance; Surface wave; Gårding inequality
A dispersion minimizing scheme for the 3-D Helmholtz equation based on ray theory
Keywords: معادله هلمهولتز; Helmholtz equation; Finite difference method; Numerical dispersion; Multigrid; Domain decomposition;
The method of polarized traces for the 2D Helmholtz equation
Keywords: معادله هلمهولتز; Domain decomposition; Helmholtz equation; Integral equations; High-frequency; Fast methods;
A double-sweeping preconditioner for the Helmholtz equation
Keywords: معادله هلمهولتز; Preconditioner; Helmholtz equation; Iterative solver; Amplitude-preserving propagator;
Addendum to “A coarse space for heterogeneous Helmholtz problems based on the Dirichlet-to-Neumann operator” [J. Comput. Appl. Math. 271 (2014) 83–99]
Keywords: معادله هلمهولتز; Helmholtz equation; Domain decomposition; Coarse space; Dirichlet-to-Neumann operator
Exact solution of Helmholtz equation for the case of non-paraxial Gaussian beams
Keywords: معادله هلمهولتز; Helmholtz equation; Riccati equation; Gaussian beam
A Laplace transform DRBEM with a predictor–corrector scheme for time-dependent infiltration from periodic channels with root-water uptake
Keywords: معادله هلمهولتز; Richard׳s equation; Helmholtz equation; DRBEM; Predictor–corrector; Laplace transform; Root water uptake
Resolvent and Strichartz estimates for elastic wave equations
Keywords: معادله هلمهولتز; Strichartz estimates; Elastic waves; Helmholtz equation; Lamé operator
Fast multipole accelerated singular boundary method for the 3D Helmholtz equation in low frequency regime
Keywords: معادله هلمهولتز; Singular boundary method; Fast multipole method; Origin intensity factor; Helmholtz equation;
A multigrid-based preconditioned solver for the Helmholtz equation with a discretization by 25-point difference scheme
Keywords: معادله هلمهولتز; Helmholtz equation; Preconditioner; Multigrid; Prolongation operator
Goal-oriented adaptivity using unconventional error representations for the 1D Helmholtz equation
Keywords: معادله هلمهولتز; Goal-oriented adaptivity; Finite element methods; Error representation; Helmholtz equation
Pre-asymptotic error analysis of hp-interior penalty discontinuous Galerkin methods for the Helmholtz equation with large wave number
Keywords: معادله هلمهولتز; Helmholtz equation; Large wave number; Stability; Pre-asymptotic error estimates; hp-interior penalty discontinuous Galerkin methods;
Computational geometric and boundary value properties of Oblate Spheroidal Quaternionic Wave Functions
Keywords: معادله هلمهولتز; Quaternionic analysis; Helmholtz equation; Oblate spheroidal wave functions; Ferrer's associated Legendre functions; Bergman kernel function;
Calculation of acoustic Green’s functions using BEM and Dirichlet-to-Neumann-type boundary conditions
Keywords: معادله هلمهولتز; Boundary Element Method; Green’s functions; Dirichlet-to-Neumann map; DtN; Unbounded; Helmholtz equation
A phase-based hybridizable discontinuous Galerkin method for the numerical solution of the Helmholtz equation
Keywords: معادله هلمهولتز; Finite element method; Discontinuous Galerkin methods; Hybrid/mixed methods; Geometrical optics; Helmholtz equation; Eikonal equation;
A wideband Fast Multipole Method for the Helmholtz kernel: Theoretical developments
Keywords: معادله هلمهولتز; Fast Multipole Method; Quadrature errors; Plane wave expansion; Helmholtz equation; Broadband;
LpLp–LqLq estimates for electromagnetic Helmholtz equation. Singular potentials
Keywords: معادله هلمهولتز; 35J10; 35L05; 58J45Dispersive equations; Helmholtz equation; Magnetic potential
N masses on an infinite string and related one-dimensional scattering problems
Keywords: معادله هلمهولتز; Transfer matrix; Scattering; Helmholtz equation; Positional disorder;
Complex nonlinear parameter estimation (CNPE) and obstacle shape reconstruction
Keywords: معادله هلمهولتز; Complex nonlinear parameter estimation (CNPE); Complex nonlinear least squares (CNLS); Inverse scattering; Shape reconstruction; Helmholtz equation
A dispersion minimizing subgridding finite difference scheme for the Helmholtz equation with PML
Keywords: معادله هلمهولتز; Helmholtz equation; PML; Subgridding; Numerical dispersion
A coarse space for heterogeneous Helmholtz problems based on the Dirichlet-to-Neumann operator
Keywords: معادله هلمهولتز; Helmholtz equation; Domain decomposition; Coarse space; Dirichlet-to-Neumann operator;
Double sweep preconditioner for optimized Schwarz methods applied to the Helmholtz problem
Keywords: معادله هلمهولتز; Domain decomposition method; Helmholtz equation; Preconditioners; Iterative solvers; Acoustic scattering; Short-wave problem; Finite element method
An analysis of discretizations of the Helmholtz equation in L2L2 and in negative norms
Keywords: معادله هلمهولتز; Helmholtz equation; High order FEM; Dispersion error; Regularity
Cartesian PML approximation to resonances in open systems in R2R2
Keywords: معادله هلمهولتز; Helmholtz equation; Perfectly matched layer; Cartesian PML; Acoustic resonance; Photonic resonance; Spectral theory
Fast multipole accelerated boundary knot method for inhomogeneous Helmholtz problems
Keywords: معادله هلمهولتز; Boundary knot method; Fast multipole method; ML(n)BiCGSTAB; Helmholtz equation
A modified Galerkin FEM for 1D Helmholtz equations
Keywords: معادله هلمهولتز; Finite element method; Helmholtz equation; High wave numbers; Numerical method; Pollution error
On the evaluation of hyper-singular double normal derivative kernels in surface integral equation methods
Keywords: معادله هلمهولتز; Boundary element method; Direct evaluation method; Galerkin method; Helmholtz equation; Hyper-singular kernel; Maxwell's equations; Singularity subtraction technique
A Herglotz wavefunction method for solving the inverse Cauchy problem connected with the Helmholtz equation
Keywords: معادله هلمهولتز; Herglotz wavefunctions; Cauchy problem; Helmholtz equation
Study on harbor resonance and focusing by using the null-field BIEM
Keywords: معادله هلمهولتز; Harbor resonance; Focusing; Helmholtz equation; Degenerate kernel
The uniqueness and existence of solutions for the 3-D Helmholtz equation in a cylindrically symmetric waveguide with unbounded perturbation
Keywords: معادله هلمهولتز; Helmholtz equation; Cylindrically symmetric waveguide; Unbounded perturbation; Existence of solutions; Uniqueness of solutions; Green’s function; Radiation condition
A least-squares non-polynomial finite element method for solving the polygonal-line grating problem
Keywords: معادله هلمهولتز; Grating problem; Helmholtz equation; Non-polynomial finite element method;
A sixth-order fast algorithm for the electromagnetic scattering from large open cavities
Keywords: معادله هلمهولتز; Electromagnetic scattering; Open cavity; Compact finite difference scheme; Preconditioner; Helmholtz equation;
A rapidly converging domain decomposition method for the Helmholtz equation
Keywords: معادله هلمهولتز; Helmholtz equation; Domain decomposition; Perfectly matched layers; High-frequency waves
Robust and highly scalable parallel solution of the Helmholtz equation with large wave numbers
Keywords: معادله هلمهولتز; CARP-CG; Helmholtz equation; High frequency; Large wave numbers; Parallel processing; Partial differential equations