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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...
Symplectic Discretization for Spectral Element Solution of Maxwell’s Equations
Maxwell’s Equations Spectral Element Method Poisson System Sym-plectic Partitioned Runge-Kutta Method
2012/8/8
Based on the GLL-spectral element discretization of time-dependent Maxwell’s equa-
tions introduced recently, we obtain a Poisson system or a Poisson system with a little
oscillation. We prove that ...
mplementing Arbitrarily High-Order Symplectic MethodsVia Krylov Deferred Correction Technique
High-Order Symplectic MethodsVia Krylov Deferred Correction Technique
2012/8/8
In this paper, an ecient numerical procedure is presented to implement the
Gaussian Runge-Kutta (GRK) methods (also called Gauss methods). The GRK technique
first discretizes each marching step of ...
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...
Several Pairs of Differential Operators and Their Applications in Variational Calculusof a General Third Order Energy
Di甧rential operator Euler-Lagrange equation Complete-variation Geo-metric energy functional Curvature
2012/8/8
Gradient, divergence and Laplace-Beltrami operators over surfaces have played im-
portant roles in many 痚lds related to geometry and analysis, such as di甧rential ge-
ometry, computational geometry a...
Local Multigrid In H(curl)
Edge elements local multigrid stable multilevel splittings subspace correctiontheory regular decompositions of H(curl ? Helmholtz-type decompositions
2012/8/8
We consider H(curl; ?-elliptic variational problems on bounded Lipschitz polyhedra
and their 痭ite element Galerkin discretization by means of lowest order edge elements. We assume
that the underlyin...
A Backward Euler-DtN Alternating Method for Time-dependent Eddy Current Problems in Unbounded Domains
eddy current problems unbounded domains boundary integrations N秂d秂lec痭ite elements non-overlapping domain decomposition
2012/8/8
In this paper, we develop a coupling of natural boundary element method and 痭ite element
method for solving the time-dependent eddy current problems in unbounded domains based on a
H∶ formulation. T...
Consistent Approximations of Some Geometric Differential Operators
Geometric Di甧rential Operators Consistent discretized approxima-tions Triangular Surface Mesh Error Analysis.
2012/8/8
The numerical integration of many geometric partial di甧rential equations in-
volve discrete approximations of some di甧rential geometric operators. In this
paper, we consider consistent discretized a...
Inexact Barzilai-Borwein Method for Saddle Point Problems
Saddle point problem, Uzawa algorithm, Barzilai-
2012/8/8
This paper considers the inexact Barzilai-Borwein algorithm applied
to saddle point problems. To this aim, we study the convergence
properties of the inexact Barzilai-Borwein algorithm for symmetric...
A Domain Decomposition Method with Lagrange Multiplier Based on the Pointwise Matching Condition
domain decomposition nonmatching grids pointwise matching error estimate
2012/8/8
A Domain Decomposition Method with Lagrange Multiplier Based on the Pointwise Matching Condition。
A Saddle Point Approach to the Computation of Harmonic Maps
harmonic maps nonlinear constraints saddle point problem error estimates
2012/8/8
A Saddle Point Approach to the Computation of Harmonic Maps。
3-D parallel shot-gather prestack depth migration
3-D prestack depth migration shot-gather bybrid method MPI parellel PC cluster
2012/8/8
3-D prestack depth migration;shot-gather;bybrid method;MPI parellel;PC cluster。
d-维网格的星边染色
星边染色 星边色数 超立方体 $d$-维网格
2014/1/10
研究图~$G$\,的星边色数~$\chi_{s}^{\prime}(G)$\,与其顶点数~$\nu$ 和边数~$\varepsilon$\,之间的关系. 证明了当~$\Delta(G)\geqslant2$\,时, 有~$\lceil\frac{8\varepsilon}{3\nu}\rceil\leqslant\chi_{s}^{\prime}(G)$. 得到了~$2$-维网格的星边色数, 并且...