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A sweeping preconditioner for Yee’s finite difference approximation of time-harmonic Maxwell’s equations
Electromagnetic scattering Yee grid finite difference methods perfectly matched layers LDLT factorizations multifrontal method wave propagation in inhomogeneous and anisotropic media matrix preconditioners
2015/7/14
This paper is concerned with the fast iterative solution of linear systems arising from finite difference discretizations in electromagnetics. The sweeping preconditioner with moving perfectly matched...
A sweeping preconditioner for time-harmonic Maxwell’s equations with finite elements
Maxwell’s equations Frequency domain Finite element methods Preconditioners Fast solvers Perfectly matched layers Block LDLt factorization High-frequency waves
2015/7/14
This paper is concerned with preconditioning the stiffness matrix resulting from finite element discretizations of Maxwell’s equations in the high frequency regime. The moving PML sweeping preconditio...
An Adaptive Uniaxial Perfectly Matched Layer Method For Time-Harmonic Scattering Problems
Adaptivity uniaxial perfectly matched layer a posteriori error analysis acousticscattering problems
2012/8/8
The uniaxial perfectly matched layer (PML) method uses rectangular domain to
define the PML problem and thus provides greater flexibility and efficiency in dealing with prob-
lems involving anisotro...
An Adaptive Uniaxial Perfectly Matched Layer Method For Time-Harmonic Scattering Problems
Adaptivity uniaxial perfectly matched layer a posteriori error analysis acousticscattering problems
2012/8/8
The uniaxial perfectly matched layer (PML) method uses rectangular domain to
define the PML problem and thus provides greater flexibility and efficiency in dealing with prob-
lems involving anisotro...
An Adaptive Perfectly Matched Layer Technique for 3-D Time-Harmonic Electromagnetic Scattering Problems
layer (PML) technique 3-D Time-Harmonic Electromagnetic Scattering Problems
2012/8/8
An adaptive perfectly matched layer (PML) technique for solv-
ing the time harmonic electromagnetic scattering problems is developed. The
PML parameters such as the thickness of the layer and the fi...
An Adaptive Multilevel Method For Time-Harmonic Maxwell Equations With Singularities
Maxwell's equations singularities of solutions adaptive 痭 ite element method multigrid method
2012/8/8
We develop an adaptive edge 痭ite element method based on reliable and e眂ient
residual-based a posteriori error estimates for low-frequency time-harmonic Maxwell's equations with
singularities. The r...
Fock Spaces, Landau Operators and the Regular Solutions of time-harmonic Maxwell equations
Fock Spaces Landau Operators time-harmonic Maxwell equations
2010/11/24
We investigate the solution representation for Maxwell equations based on the combination of hypercomplex function-theoretical methods with quantum mechanical methods. This gives a characterization f...
A Non-overlapping Domain Decomposition for Low-frequency Time-harmonic Maxwell's Equations in Unbounded Domains
Maxwell's equations unbounded domains domain decomposition boundary integral N秂d秂lec 痭ite elements D-N alternation
2012/8/1
In this paper, we are concerned with a non-overlapping domain decomposition method for solving the low-frequency time-harmonic Maxwell's equations in unbounded domains.This method can be viewed as a c...