搜索结果: 1-7 共查到“应用数学 Helmholtz”相关记录7条 . 查询时间(0.069 秒)
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...
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 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...
基于点插值的配点型无网格法解Helmholtz问题
Helmholtz方程 无网格法 点插值法 配点格式
2014/5/28
基于点插值法的思想,用三角函数作为基函数在局部支持域内构造具有Kroneckerδ函数性、单位分解性、高阶连续性、再生性和紧支性的形函数。用配点法离散微分方程,得到了具有稀疏带状性的系数矩阵,用GMERS方法求解代数方程组,分别研究了Helmholtz问题的边界层问题和波传播问题。通过数值算例可以发现,给出的数值结果非常接近于精确解,且随着节点的增加,其精确度越来越高,具有良好的收敛性。