We present a hybridized discontinuous Galerkin (HDG) solver for the time-dependent compressible Euler and Navier-Stokes equations. In contrast to discontinuous Galerkin (DG) methods, the number of globally coupled degrees of freedom is usually tremendously smaller for HDG methods, as these methods can rely on hybridization. However, applying the method to a time-dependent problem amounts to sol...

Recently the Meshless and Generalized FEM became to be in the center of interest, especially in the engineering community. I have identified more than 200 engineering papers and four books ([1],[2],[3],[4]). I found very few papers of mathematical character (assumptions, theorems, proofs). Hence there is a large experience and heuristics but not too much mathematical understanding of the method...

We develop a few iterative methods for computing generalized inverses using both first and second order optimization methods in C∗-algebras. Known steepest descent iterative methods are generalized in C∗-algebras. We introduce second order methods based on the minimization of the norms ‖Ax− b‖2 and ‖x‖2 by means of the known second order unconstrained minimization methods. We give several examp...

Crowd evacuation simulations are becoming a tool to analyze and assess the safety of occupants in buildings. Agent-based simulation provides a platform on which to compute individual and collective behaviors that occur in crowds. We propose a human behavior model in evacuation based on the Belief-Desire-Intention (BDI) model and Helbing’s agent behavior model. Human relationships affect the sta...

In this work, a two-layer coupled fluid-structure-structure interaction model is considered, which incorporates an anisotropic structure model into the fluid-structure interaction problems. We propose two domain decomposition solvers for such a class of coupled problems: a Robin-Robin preconditioned GMRES solver combined with an inner Dirichlet-Neumann iterative solver, and a Robin-Robin precon...

1. The 0-1 knapsack problem with a single continuous variable (KPC) is a natural extension of the binary knapsack problem (KP), where the capacity is not any longer fixed but can be extended which is expressed by a continuous variable. This variable might be unbounded or restricted by a lower or upper bound, respectively. This paper concerns techniques in order to reduce several variants of KPC...

Finite mixture estimation (FME) is compared to estimated generalized least squares (EGLS) in the estimation of economies of size and production cost frontiers for Alabama dairy farms. FME provides several unique insights into the economic forces behind recent changes in Alabama’s dairy industry. FME provides estimation of a stochastic average cost frontier with known statisticalproperties, whic...

Surveys often contain qualitative variables for which respondents may select any number of the outcome categories. For instance, for the question "What type of contraception have you used?" with possible responses (oral, condom, lubricated condom, spermicide, and diaphragm), respondents would be instructed to select as many of the outcomes that apply. This situation is known as multiple respons...

Two popular approaches for relating correlated measurements of a non-Gaussian response variable to a set of predictors are to fit a marginal model using generalized estimating equations and to fit a generalized linear mixed model by introducing latent random variables. The first approach is effective for parameter estimation, but leaves one without a formal model for the data with which to asse...

This report describes a domain decomposition method for the incompressible NavierStokes equations in general coordinates. Domain decomposition techniques are needed if we want to solve ows in complex geometries. The discretization is performed by a nite volume method combined with a staggered grid arrangement. The domain decomposition technique is of Schwarz type combined with a GMRES accelerat...