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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Monotonicity of the second Neumann eigenfunction in symmetry domain
对称域 第二个 诺依曼特征函数 单调性
2023/4/18
In 1974, Jeffrey Rauch proposed the hot spot conjecture for the second eigenfunctions of the Neumann eigenvalue problems. We will recall some of its development and related studies in recent years. We...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Domain Decomposition and Optimized Schwarz Methods for the Dual-porosity-conduit System
双重孔隙 导管系统 区域分解 优化Schwarz方法
2023/5/10
In this work, we propose and analyze domain decomposition methods to decouple the large system arisen from the discretization of dual-porosity-Stokes model. Robin boundary conditions are used to decou...
2017虚拟域方法和应用研讨会（Minisymposia：Fictitious domain methods and applications）
2017 虚拟域方法 应用 研讨会
2017/5/23
Fictitious domain methods were introduced in the sixties of the last century to circumvent the requirement to use domain-conforming meshes imposed by the standard finite element method. In the fictiti...
REAL-TIME AUDIO SOURCE SEPARATION BY DELAY AND ATTENUATION COMPENSATION IN THE TIME DOMAIN
REAL-TIME AUDIO SOURCE SEPARATION ATTENUATION COMPENSATION TIME DOMAIN
2015/9/29
There is increased interest in using microphone arrays in a variety of audio source separation and consequently speech processing applications. In particular, small arrays of two to four microphones a...
BAYESIAN SINGLE CHANNEL SPEECH ENHANCEMENT EXPLOITING SPARSENESS IN THE ICA DOMAIN
BAYESIAN SINGLE CHANNEL SPEECH ENHANCEMENT EXPLOITING SPARSENESS ICA DOMAIN
2015/9/29
We propose a Bayesian single channel speech enhancement algorithm to exploit speech sparseness in the independent component analysis (ICA) domain. While recent literature considers the idea of denoisi...
Henon Mappings in the Complex Domain II:projective and inductive limits of polynomials
Henon Mappings Complex Domain projective and inductive limits
2015/8/26
Henon Mappings in the Complex Domain II:projective and inductive limits of polynomials.
A Fatou–Bieberbach domain avoiding a neighborhood of a variety of codimension 2
Fatou–Bieberbach domain avoiding codimension 2
2015/8/26
A Fatou–Bieberbach domain avoiding a neighborhood of a variety of codimension 2.
Optimal excitation signal design for frequency domain system identification using semidefinite programming
The optimal excitation signal and the dispersion function semidefinite programming linear matrix inequality (lmi)
2015/8/11
The paper discusses two methods of optimal excitation signal design for identification with Maximum Likelihood parameter estimation: The ‘classical’, dispersion function based method, and a new, semid...
Exact Solutions to the Six-Vertex Model with Domain Wall Boundary Conditions and Uniform Asymptotics of Discrete Orthogonal Polynomials on an Infinite Lattice
Statistical Mechanics Random Matrices Orthogonal Polynomials Asymptotics Riemann-Hilbert Problems
2015/1/19
In this dissertation the partition function, $Z_n$, for the six-vertex model with domain wall boundary conditions is solved in the thermodynamic limit in various regions of the phase diagram. In the f...
Accelerated solution of the frequency-domain Maxwell’s equations by engineering the eigenvalue distribution of the operator
Numerical approximation analysis Mathematical methods physics Mathematics
2015/8/7
We introduce a simple method to accelerate the convergence of iterative solvers of the frequency-domain Maxwell’s equations for deep-subwavelength structures. Using the continuity equation, the method...
Inexact Solvers for Saddle-point System Arising from Domain Decomposition of Linear Elasticity Problems in Three Dimensions
Domain decompostion geometrically non-conforming Lagrange multiplier saddle-point system preconditioners conditionnumber
2012/8/8
In this paper, a domain decomposition method with lagrange mul-
tipliers based on geometrically non-conforming subdomain partitions
for three dimensional linear elasticity is considered. Because of ...
Nonoverlapping Domain Decomposition Methods with Simplified Coarse Spaces for Solving Three-dimensional Elliptic Problems
domain decomposition coarse subspace substructuring preconditioner inexact solver condition number
2012/8/8
In this paper we propose a substructuring preconditioner for solving three-dimensional
elliptic equations with strongly discontinuous coe±cients. The new preconditioner
can be viewed as a variant of...
An Explicit Harmonic Extension for the Constant-like Basis and Its Application to Domain Decompositions
domain decomposition coarse subspace constant-like basis nearly harmonic extension preconditioner inexact solvers condition number
2012/8/8
In this paper we are concerned with substructuring methods for the second-order
elliptic problems in three-dimensional domains. We 痳st design a simple and completely
explicit nearly harmonic extensi...
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, ...
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...