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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...
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...
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...
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...
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.
A Fatou–Bieberbach domain avoiding a neighborhood of a variety of codimension 2.
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...
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...
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...
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 ...
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...
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...
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, ...
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...

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