A stabilized weak formulation of the radiative transfer equation is presented, which is stable independent of the scattering coeecient. This enables the use of standard nite element discretizations without further algebraic constraints. Furthermore, a weighted residual-based a posteriori error estimate is derived for the discrete solution. An example demonstrates the eeciency of the new method.

Œe GFR (Gabor Filter Residual) features, built as histograms of quantized residuals obtained with 2D Gabor €lters, can achieve competitive detection performance against adaptive JPEG steganography. In this paper, an improved version of the GFR is proposed. First, a novel histogram merging method is proposed according to the symmetries between di‚erent Gabor €lters, thus making the features more...

The paper deals with the mechanical behavior of a micro-beam bonded with two piezoelectric layers. The micro-beam is suspended over a fixed substrate and undergoes the both piezoelectric and electrostatic actuation. The piezoelectric layers are poled through the thickness and equipped with surface electrodes. The equation governing the micro-beam deflection under electrostatic pressure is deriv...

In the proposed method, the variation of displacement in each time step is assumed to be a fourth order polynomial in time and its five unknown coefficients are calculated based on: two initial conditions from the previous time step; satisfying the equation of motion at both ends of the time step; and the zero weighted residual within the time step. This method is non-dissipative and its disper...

We propose in this paper a space-time adaptive algorithm based on the Dual Weighted Residual (DWR) idea in the framework of finite element method. Our algorithm consists of applying the DWR technique locally in each time interval In := (tn−1, tn], thus, we control the local or truncation error for a functional of the solution J(u). That means that we can define a self-sufficient criterium that ...

Aalto University, P.O. Box 11000, FI-00076 Aalto www.aalto.fi Author Zheng Liu Name of the doctoral dissertation MODELING OF MASS TRANSFER AND REACTIONS WITH THE MOMENT METHOD Publisher School of Chemical Technology Unit Department of Biotechnology and Chemical Technology Series Aalto University publication series DOCTORAL DISSERTATIONS 5/2015 Field of research Chemical Engineering Manuscript s...

We present an improvement to the traditional one-dimensional partial Fourier method by extending the method to multi-dimensions. The modified method allowed a full factor of two savings in time with much better coverage of the central k-space information and, because of this, smaller reconstruction artifacts. The residual magnitude error was found to correlate strongly with the residual phase e...

Residual-based control charts are popular methods for statistical process control of autocorrelated processes. To implement these methods, a time series model of the process is required. The model must be estimated from data, in practice, and model estimation errors can cause the actual in-control average run length to differ substantially from the desired value. This article develops a method ...

In this paper, we propose a new feature extraction method that combines both HMT-based denoising and weighted filter bank analysis for robust speech recognition. The proposed method is made up of two stages in cascade. The first stage is denoising process based on the wavelet domain Hidden Markov Tree model, and the second one is the filter bank analysis with weighting coefficients obtained fro...

We apply the weighted-residual approach recently introduced in [7] to derive dis-continuous Galerkin formulations for advection-diffusion-reaction problems. We devise the basic ingredients to ensure stability and optimal error estimates in suitable norms, and propose two new methods. 1. Introduction. In recent years Discontinuous Galerkin methods have become increasingly popular, and they have ...