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A Non-overlapping Domain Decomposition Method with Inexact Solvers
domain decomposition interface space multilevel decomposition constant-like function nearly harmonic extension preconditioner inexact solvers condition number
2012/8/8
In this paper we are concerned with non-overlapping domain decomposition methods
for the second-order elliptic problems in three-dimensional domains. We develop a
new kind of substructuring method, ...
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 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...
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...
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 New Algorithm for Determinant Evaluation - The Reduction Method
New Algorithm Determinant Evaluation - The Reduction Method
2011/1/19
We present here a new method for determinant evaluation – the reduction method. Firstly,in the section 2, we apply it to third order determinants and after, in the section 3, we generalize it to highe...
Multistep epsilon-algorithm, Shanks' transformation, and Lotka-Volterra system by Hirota's method
Multistep epsilon-algorithm Shanks' transformation Lotka-Volterra system Hirota's method
2011/2/28
In this paper, we give a multistep extension of the "–algorithm of Wynn, and we show that it implements a multistep extension of the Shanks’ sequence transformation which is cdefined by ratios of dete...
Accelerating the CM method
CM method
2010/11/30
Given a prime q and a negative discriminant D, the CM method constructs an elliptic curve E/Fq by obtaining a root of the Hilbert class polynomial HD(X) modulo q.
Counting Method for Multi-party Computation over Non-abelian Groups
Multiparty Passive Adversary Non-Abelian Groups Graph Coloring Neighbor-Avoiding Walk Random Walk
2012/12/3
In the Crypto’07 paper [5], Desmedt et al. studied the problem of achieving secure n-party computation over non-Abelian groups. The function to be computed is fG(x1, . . . , xn) := x1 · . . . · xn whe...
A Mortar Element Method for Coupling Natural Boundary Element Method and Finite Element Method for Unbounded Domain Problem
Model problem and discretization Error estimate
2012/7/31
In this paper, a mortar element method is presented for coupling natural boundary element method and nite element method for the Dirichlet exterior problem.
Optimal error estimate is obtained and so...