搜索结果: 1-15 共查到“数学 Helmholtz”相关记录21条 . 查询时间(0.045 秒)
Maxwell特征值问题的两水平预处理Helmholtz-Jacobi-Davidson方法
Maxwell特征值 水平预处理 Helmholtz-Jacobi-Davidson方法
2023/1/5
In this paper, based on a domain decomposition (DD) method, we shall propose an efficient two-level preconditioned Helmholtz-Jacobi-Davidson (PHJD) method for solving the algebraic eigenvalue problem ...
大波数Helmholtz和Maxwell方程拟周期格林函数的快速算法
积分方程方法 计算拟周期 格林函数
2021/8/25
积分方程方法是求解散射问题的常用数值方法，而积分方程法需要格林函数的大量数值计算。周期结构声波和电磁波散射问题（物理上又称为衍射光栅）中的格林函数是拟周期的而且以级数形式给出，因此，它的数值计算非常困难。由于周期结构散射问题在绕射光学、光学元器件的设计与制作等许多领域具有极其重要的应用，因此，人们提出了很多计算拟周期格林函数的快速算法（Linton, SIAM Rev. 52 (2010), 63...
Fast directional algorithms for the Helmholtz kernel
N-body problems Scattering problems Helmholtz equation Oscillatory kernels Fast multipole methods Separated representations Random sampling Operator compression Multidirectional computation Multiscale methods
2015/7/14
This paper presents a new directional multilevel algorithm for solving N-body or N-point problems with highly oscillatory kernels. We address the problem by first proving that the interaction between ...
Sweeping Preconditioner for the Helmholtz Equation:Hierarchical Matrix Representation
Sweeping Preconditioner Helmholtz Equation Hierarchical Matrix Representation
2015/7/14
The paper introduces the sweeping preconditioner, which is highly efficient for iterative solutions of the variable-coefficient Helmholtz equation including veryhigh-frequency problems. The first cent...
SWEEPING PRECONDITIONER FOR THE HELMHOLTZ EQUATION: MOVING PERFECTLY MATCHED LAYERS
Helmholtz equation perfectly matched layers high frequency waves preconditioners LDLt factorization Green’s function multifrontal methods optimal ordering
2015/7/14
This paper introduces a new sweeping preconditioner for the iterative solution of the variable coefficient Helmholtz equation in two and three dimensions. The algorithms follow the general structure o...
A PARALLEL SWEEPING PRECONDITIONER FOR HETEROGENEOUS 3D HELMHOLTZ EQUATIONS
Helmholtz time-harmonic sweeping preconditioner parallel
2015/7/14
A parallelization of a sweeping preconditioner for 3D Helmholtz equations without internal resonance is introduced and benchmarked for several challenging velocity models. The setup and application co...
Additive Sweeping Preconditioner for the Helmholtz Equation
Helmholtz equation perfectly matched layers preconditioners high frequency waves
2015/7/14
We introduce a new additive sweeping preconditioner for the Helmholtz equation based on the perfect matched layer (PML). This method divides the domain of interest into thin layers and proposes a new ...
Recursive Sweeping Preconditioner for the 3D Helmholtz Equation
Helmholtz equation perfectly matched layers preconditioners high frequency waves
2015/7/14
This paper introduces the recursive sweeping preconditioner for the numerical solution of the Helmholtz equation in 3D. This is based on the earlier work of the sweeping preconditioner with the moving...
The Best Finite-Difference Scheme for the Helmholtz Equation
The Best Finite-Difference Scheme for the Helmholtz and Laplace’s Equations
2013/1/30
The best finite-difference scheme for the Helmholtz equation is suggested. A method of solving obtained finite-difference scheme is developed. The efficiency and accuracy of method were tested on seve...
A Discrete Weighted Helmholtz Decomposition and Applications to Non-overlapping Domain Decomposition for Saddle-point Maxwell Systems with Jumps in Coefficients
Maxwell's equations N秂d秂lec 痭ite elements weighted Helmholtz decom-position domain decomposition saddle-point system, preconditioners, condition number
2012/8/8
We shall establish a discrete weighted Helmholtz decomposition in edge element
spaces, which is stable uniformly with respect to the jumps in the discontinuous weight
function. The stable decomposit...
Tikhonov regularization method for a Cauchy problem for the Helmholtz equation in multiple dimensions-----
inverse problems Helmholtz equation Tikhonov regularization error estimate
2011/10/18
This paper deals with a Cauchy problem for the Helmholtz equa- tion in multiple dimensions.We want to obtain the solution u on the boundary z = 0 from the given function g ontheside z = 1. This proble...
求解半空间中Helmholtz方程Cauchy问题的投影法
Helmholtz方程 Cauchy问题 投影法 正则化
2012/11/12
针对Helmholtz方程Cauchy问题提出一种数值计算方法。借助于DirichlettoNeumann映射，将Cauchy问题转化为求解散射场初值的紧算子方程。先讨论紧算子奇异值的渐近性质，然后将投影法与Tikhonov正则化方法相结合，提出一种求解相应紧算子方程的带有正则化技巧的投影法，并通过数值实验验证了算法的有效性。
求解半空间中Helmholtz方程Cauchy问题的投影法
Helmholtz方程 Cauchy问题 投影法 正则化
2012/11/13
针对Helmholtz方程Cauchy问题提出一种数值计算方法. 借助于DirichlettoNeumann映射, 将Cauchy问题转化为求解散射场初值的紧算子方程. 先讨论紧算子奇异值的渐近性质, 然后将投影法与Tikhonov正则化方法相结合, 提出一种求解相应紧算子方程的带有正则化技巧的投影法, 并通过数值实验验证了算法的有效性.
The nonlinear product of the Bessel Laplace operator and the Bessel Helmholtz operator
Bessel Laplace operator Bessel Helmholtz operator
2010/9/25
It is found that the existence of the solution u(x) of such equation depending on the condition of f and k−1 B (B+m2)ku(x). Moreover such solution u(x) related to the nonhomogeneous Bessel bih...
Lattice Boltzmann study on Kelvin-Helmholtz instability: the roles of velocity and density gradients
Soft Condensed Matter (cond-mat.soft) Cellular Automata and Lattice Gases (nlin.CG) Computational Physics (physics.comp-ph) Plasma Physics (physics.plasm-ph)
2010/11/10
A two-dimensional lattice Boltzmann model with 19 discrete velocities for compressible Euler equations is proposed (D2V19-LBM). The fifth-order Weighted Essentially Non-Oscillatory (5th-WENO) finite d...