**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**27

# Search results for: M. Neumann

##### 27 Solving of the Fourth Order Differential Equations with the Neumann Problem

**Authors:**
Marziyeh Halimi,
Roushanak Lotfikar,
Simin Mansouri Borojeni

**Abstract:**

**Keywords:**
Neumann problem,
weighted Sobolev spaces,
generalized solution,
spectrum of linear operators.2000 mathematic subject classification: 34A05,
34A30.

##### 26 Numerical Study of Iterative Methods for the Solution of the Dirichlet-Neumann Map for Linear Elliptic PDEs on Regular Polygon Domains

**Authors:**
A. G. Sifalakis,
E. P. Papadopoulou,
Y. G. Saridakis

**Abstract:**

**Keywords:**
Elliptic PDEs,
Dirichlet to Neumann Map,
Global Relation,
Collocation,
Iterative Methods,
Jacobi,
Gauss-Seidel,
GMRES,
Bi-CGSTAB.

##### 25 Extending the Quantum Entropy to Multidimensional Signal Processing

**Authors:**
Youssef Khmou,
Said Safi,
Miloud Frikel

**Abstract:**

**Keywords:**
Von Neumann entropy,
Filtering,
array,
DoA,
Maximum Entropy Method.

##### 24 Mobile Robot Control by Von Neumann Computer

**Authors:**
E. V. Larkin,
T. A. Akimenko,
A. V. Bogomolov,
A. N. Privalov

**Abstract:**

The digital control system of mobile robots (MR) control is considered. It is shown that sequential interpretation of control algorithm operators, unfolding in physical time, suggests the occurrence of time delays between inputting data from sensors and outputting data to actuators. Another destabilizing control factor is presence of backlash in the joints of an actuator with an executive unit. Complex model of control system, which takes into account the dynamics of the MR, the dynamics of the digital controller and backlash in actuators, is worked out. The digital controller model is divided into two parts: the first part describes the control law embedded in the controller in the form of a control program that realizes a polling procedure when organizing transactions to sensors and actuators. The second part of the model describes the time delays that occur in the Von Neumann-type controller when processing data. To estimate time intervals, the algorithm is represented in the form of an ergodic semi-Markov process. For an ergodic semi-Markov process of common form, a method is proposed for estimation a wandering time from one arbitrary state to another arbitrary state. Example shows how the backlash and time delays affect the quality characteristics of the MR control system functioning.

**Keywords:**
Mobile robot,
backlash,
control algorithm,
Von Neumann controller,
semi-Markov process,
time delay.

##### 23 Mathematical Modeling of the AMCs Cross-Contamination Removal in the FOUPs: Finite Element Formulation and Application in FOUP’s Decontamination

**Authors:**
N. Santatriniaina,
J. Deseure,
T.Q. Nguyen,
H. Fontaine,
C. Beitia,
L. Rakotomanana

**Abstract:**

Nowadays, with the increasing of the wafer's size and the decreasing of critical size of integrated circuit manufacturing in modern high-tech, microelectronics industry needs a maximum attention to challenge the contamination control. The move to 300 [mm] is accompanied by the use of Front Opening Unified Pods for wafer and his storage. In these pods an airborne cross contamination may occur between wafers and the pods. A predictive approach using modeling and computational methods is very powerful method to understand and qualify the AMCs cross contamination processes. This work investigates the required numerical tools which are employed in order to study the AMCs cross-contamination transfer phenomena between wafers and FOUPs. Numerical optimization and finite element formulation in transient analysis were established. Analytical solution of one dimensional problem was developed and the calibration process of physical constants was performed. The least square distance between the model (analytical 1D solution) and the experimental data are minimized. The behavior of the AMCs intransient analysis was determined. The model framework preserves the classical forms of the diffusion and convection-diffusion equations and yields to consistent form of the Fick's law. The adsorption process and the surface roughness effect were also traduced as a boundary condition using the switch condition Dirichlet to Neumann and the interface condition. The methodology is applied, first using the optimization methods with analytical solution to define physical constants, and second using finite element method including adsorption kinetic and the switch of Dirichlet to Neumann condition.

**Keywords:**
AMCs,
FOUP,
cross-contamination,
adsorption,
diffusion,
numerical analysis,
wafers,
Dirichlet to Neumann,
finite
elements methods,
Fick’s law,
optimization.

##### 22 Integrating Context Priors into a Decision Tree Classification Scheme

**Authors:**
Kasim Terzic,
Bernd Neumann

**Abstract:**

**Keywords:**
Classification,
Decision Trees,
Interpretation,
Vision

##### 21 A Comparison of Some Splines-Based Methods for the One-dimensional Heat Equation

**Authors:**
Joan Goh,
Ahmad Abd. Majid,
Ahmad Izani Md. Ismail

**Abstract:**

**Keywords:**
Heat equation,
Collocation based,
Cubic Bspline,
Extended cubic uniform B-spline.

##### 20 On the Optimality Assessment of Nanoparticle Size Spectrometry and Its Association to the Entropy Concept

**Authors:**
A. Shaygani,
R. Saifi,
M. S. Saidi,
M. Sani

**Abstract:**

**Keywords:**
Aerosol Nano-Particle,
CFD,
Electrical Mobility
Spectrometer,
Von Neumann entropy.

##### 19 Septic B-Spline Collocation Method for Numerical Solution of the Kuramoto-Sivashinsky Equation

**Authors:**
M. Zarebnia,
R. Parvaz

**Abstract:**

In this paper the Kuramoto-Sivashinsky equation is solved numerically by collocation method. The solution is approximated as a linear combination of septic B-spline functions. Applying the Von-Neumann stability analysis technique, we show that the method is unconditionally stable. The method is applied on some test examples, and the numerical results have been compared with the exact solutions. The global relative error and L∞ in the solutions show the efficiency of the method computationally.

**Keywords:**
Kuramoto-Sivashinsky equation,
Septic B-spline,
Collocation
method,
Finite difference.

##### 18 Cubic B-spline Collocation Method for Numerical Solution of the Benjamin-Bona-Mahony-Burgers Equation

**Authors:**
M. Zarebnia,
R. Parvaz

**Abstract:**

In this paper, numerical solutions of the nonlinear Benjamin-Bona-Mahony-Burgers (BBMB) equation are obtained by a method based on collocation of cubic B-splines. Applying the Von-Neumann stability analysis, the proposed method is shown to be unconditionally stable. The method is applied on some test examples, and the numerical results have been compared with the exact solutions. The L∞ and L2 in the solutions show the efficiency of the method computationally.

**Keywords:**
Benjamin-Bona-Mahony-Burgers equation,
Cubic Bspline,
Collocation method,
Finite difference.

##### 17 Press Hardening of Tubes with Additional Interior Spray Cooling

**Authors:**
B.-A. Behrens,
H. J. Maier,
A. Neumann,
J. Moritz,
S. Hübner,
T. Gretzki,
F. Nürnberger,
A. Spiekermeier

**Abstract:**

**Keywords:**
22MnB5,
hollow profiles,
press hardening,
tubes,
water-air spray cooling.

##### 16 Strip Decomposition Parallelization of Fast Direct Poisson Solver on a 3D Cartesian Staggered Grid

**Authors:**
Minh Vuong Pham,
Frédéric Plourde,
Son Doan Kim

**Abstract:**

A strip domain decomposition parallel algorithm for fast direct Poisson solver is presented on a 3D Cartesian staggered grid. The parallel algorithm follows the principles of sequential algorithm for fast direct Poisson solver. Both Dirichlet and Neumann boundary conditions are addressed. Several test cases are likewise addressed in order to shed light on accuracy and efficiency in the strip domain parallelization algorithm. Actually the current implementation shows a very high efficiency when dealing with a large grid mesh up to 3.6 * 10^{9} under massive parallel approach, which explicitly demonstrates that the proposed algorithm is ready for massive parallel computing.

**Keywords:**
Strip-decomposition,
parallelization,
fast directpoisson solver.

##### 15 Cubic Trigonometric B-spline Approach to Numerical Solution of Wave Equation

**Authors:**
Shazalina Mat Zin,
Ahmad Abd. Majid,
Ahmad Izani Md. Ismail,
Muhammad Abbas

**Abstract:**

The generalized wave equation models various problems in sciences and engineering. In this paper, a new three-time level implicit approach based on cubic trigonometric B-spline for the approximate solution of wave equation is developed. The usual finite difference approach is used to discretize the time derivative while cubic trigonometric B-spline is applied as an interpolating function in the space dimension. Von Neumann stability analysis is used to analyze the proposed method. Two problems are discussed to exhibit the feasibility and capability of the method. The absolute errors and maximum error are computed to assess the performance of the proposed method. The results were found to be in good agreement with known solutions and with existing schemes in literature.

**Keywords:**
Collocation method,
Cubic trigonometric B-spline,
Finite difference,
Wave equation.

##### 14 Numerical Study of a Class of Nonlinear Partial Differential Equations

**Authors:**
Kholod M. Abu-Alnaja

**Abstract:**

**Keywords:**
Crank-Nicolson Scheme,
Douglas Scheme,
Partial
Differential Equations

##### 13 Numerical Computation of Sturm-Liouville Problem with Robin Boundary Condition

**Authors:**
Theddeus T. Akano,
Omotayo A. Fakinlede

**Abstract:**

**Keywords:**
Sturm-Liouville problem,
Robin boundary condition,
finite element method,
eigenvalue problems.

##### 12 Formulating the Stochastic Finite Elements for Free Vibration Analysis of Plates with Variable Elastic Modulus

**Authors:**
Mojtaba Aghamiri Esfahani,
Mohammad Karkon,
Seyed Majid Hosseini Nezhad,
Reza Hosseini-Ara

**Abstract:**

In this study, the effect of uncertainty in elastic modulus of a plate on free vibration response is investigated. For this purpose, the elastic modulus of the plate is modeled as stochastic variable with normal distribution. Moreover, the distance autocorrelation function is used for stochastic field. Then, by applying the finite element method and Monte Carlo simulation, stochastic finite element relations are extracted. Finally, with a numerical test, the effect of uncertainty in the elastic modulus on free vibration response of a plate is studied. The results show that the effect of uncertainty in elastic modulus of the plate cannot play an important role on the free vibration response.

**Keywords:**
Stochastic finite elements,
plate bending,
free vibration,
Monte Carlo,
Neumann expansion method.

##### 11 Self-Sensing versus Reference Air Gaps

**Authors:**
Alexander Schulz,
Ingrid Rottensteiner,
Manfred Neumann,
Michael Wehse,
Johann Wassermann

**Abstract:**

**Keywords:**
digital signal analysis,
active magnetic bearing,
reliability,
fault detection.

##### 10 Structural and Electronic Characterization of Supported Ni and Au Catalysts used in Environment Protection Determined by XRD,XAS and XPS methods

**Authors:**
N. Aldea,
V. Rednic,
F. Matei,
Tiandou Hu,
M. Neumann

**Abstract:**

**Keywords:**
local and global structure,
metal-support interaction,
supported metal catalysts,
synchrotron radiation,
X-ray absorptionspectroscopy,
X-ray diffraction,
X-ray photoelectron spectroscopy.

##### 9 Topological Sensitivity Analysis for Reconstruction of the Inverse Source Problem from Boundary Measurement

**Authors:**
Maatoug Hassine,
Mourad Hrizi

**Abstract:**

**Keywords:**
Geometric inverse source problem,
heat equation,
topological sensitivity,
topological optimization,
Kohn-Vogelius
formulation.

##### 8 System Security Impact on the Dynamic Characteristics of Measurement Sensors in Smart Grids

**Authors:**
Yiyang Su,
Jörg Neumann,
Jan Wetzlich,
Florian Thiel

**Abstract:**

**Keywords:**
Cyber security,
performance,
protocols,
security
standards,
smart grid.

##### 7 Performance Degradation for the GLR Test-Statistics for Spatial Signal Detection

**Authors:**
Olesya Bolkhovskaya,
Alexander Maltsev

**Abstract:**

Antenna arrays are widely used in modern radio systems in sonar and communications. The solving of the detection problems of a useful signal on the background of noise is based on the GLRT method. There is a large number of problem which depends on the known a priori information. In this work, in contrast to the majority of already solved problems, it is used only difference spatial properties of the signal and noise for detection. We are analyzing the influence of the degree of non-coherence of signal and noise unhomogeneity on the performance characteristics of different GLRT statistics. The description of the signal and noise is carried out by means of the spatial covariance matrices C in the cases of different number of known information. The partially coherent signalis is simulated as a plane wave with a random angle of incidence of the wave concerning a normal. Background noise is simulated as random process with uniform distribution function in each element. The results of investigation of degradation of performance characteristics for different cases are represented in this work.

**Keywords:**
GLRT,
Neumann-Pearson’s criterion,
test-statistics,
degradation,
spatial processing,
multielement antenna array

##### 6 Sinusoidal Roughness Elements in a Square Cavity

**Abstract:**

Numerical studies were conducted using Lattice Boltzmann Method (LBM) to study the natural convection in a square cavity in the presence of roughness. An algorithm based on a single relaxation time Bhatnagar-Gross-Krook (BGK) model of Lattice Boltzmann Method (LBM) was developed. Roughness was introduced on both the hot and cold walls in the form of sinusoidal roughness elements. The study was conducted for a Newtonian fluid of Prandtl number (Pr) 1.0. The range of Ra number was explored from 10^3 to 10^6 in a laminar region. Thermal and hydrodynamic behavior of fluid was analyzed using a differentially heated square cavity with roughness elements present on both the hot and cold wall. Neumann boundary conditions were introduced on horizontal walls with vertical walls as isothermal. The roughness elements were at the same boundary condition as corresponding walls. Computational algorithm was validated against previous benchmark studies performed with different numerical methods, and a good agreement was found to exist. Results indicate that the maximum reduction in the average heat transfer was 16.66 percent at Ra number 10^5.

**Keywords:**
Lattice Boltzmann Method Natural convection,
Nusselt Number Rayleigh number,
Roughness.

##### 5 On the Exact Solution of Non-Uniform Torsion for Beams with Axial Symmetric Cross-Section

**Authors:**
A.Campanile,
M. Mandarino,
V. Piscopo,
A. Pranzitelli

**Abstract:**

**Keywords:**
Non-uniform torsion,
Axial symmetric cross-section,
Fourier series,
Helmholtz equation,
FE method.

##### 4 The Design of Axisymmetric Ducts for Incompressible Flow with a Parabolic Axial Velocity Inlet Profile

**Authors:**
V.Pavlika

**Abstract:**

In this paper a numerical algorithm is described for solving the boundary value problem associated with axisymmetric, inviscid, incompressible, rotational (and irrotational) flow in order to obtain duct wall shapes from prescribed wall velocity distributions. The governing equations are formulated in terms of the stream function ψ (x,y)and the function φ (x,y)as independent variables where for irrotational flow φ (x,y)can be recognized as the velocity potential function, for rotational flow φ (x,y)ceases being the velocity potential function but does remain orthogonal to the stream lines. A numerical method based on the finite difference scheme on a uniform mesh is employed. The technique described is capable of tackling the so-called inverse problem where the velocity wall distributions are prescribed from which the duct wall shape is calculated, as well as the direct problem where the velocity distribution on the duct walls are calculated from prescribed duct geometries. The two different cases as outlined in this paper are in fact boundary value problems with Neumann and Dirichlet boundary conditions respectively. Even though both approaches are discussed, only numerical results for the case of the Dirichlet boundary conditions are given. A downstream condition is prescribed such that cylindrical flow, that is flow which is independent of the axial coordinate, exists.

**Keywords:**
Inverse problem,
irrotational incompressible flow,
Boundary value problem.

##### 3 CFD Simulations to Validate Two and Three Phase Up-flow in Bubble Columns

**Authors:**
Shyam Kumar,
Nannuri Srinivasulu,
Ashok Khanna

**Abstract:**

**Keywords:**
Bubble column,
Computational fluid dynamics,
Gas
holdup profile,
k-ε model.

##### 2 Flow Acoustics in Solid-Fluid Structures

**Authors:**
Morten Willatzen,
Mikhail Vladimirovich Deryabin

**Abstract:**

The governing two-dimensional equations of a heterogeneous material composed of a fluid (allowed to flow in the absence of acoustic excitations) and a crystalline piezoelectric cubic solid stacked one-dimensionally (along the z direction) are derived and special emphasis is given to the discussion of acoustic group velocity for the structure as a function of the wavenumber component perpendicular to the stacking direction (being the x axis). Variations in physical parameters with y are neglected assuming infinite material homogeneity along the y direction and the flow velocity is assumed to be directed along the x direction. In the first part of the paper, the governing set of differential equations are derived as well as the imposed boundary conditions. Solutions are provided using Hamilton-s equations for the wavenumber vs. frequency as a function of the number and thickness of solid layers and fluid layers in cases with and without flow (also the case of a position-dependent flow in the fluid layer is considered). In the first part of the paper, emphasis is given to the small-frequency case. Boundary conditions at the bottom and top parts of the full structure are left unspecified in the general solution but examples are provided for the case where these are subject to rigid-wall conditions (Neumann boundary conditions in the acoustic pressure). In the second part of the paper, emphasis is given to the general case of larger frequencies and wavenumber-frequency bandstructure formation. A wavenumber condition for an arbitrary set of consecutive solid and fluid layers, involving four propagating waves in each solid region, is obtained again using the monodromy matrix method. Case examples are finally discussed.

**Keywords:**
Flow,
acoustics,
solid-fluid structures,
periodicity.

##### 1 A Qualitative Description of the Dynamics in the Interactions between Three Populations: Pollinators, Plants, and Herbivores

**Authors:**
Miriam Sosa-Díaz,
Faustino Sánchez-Garduño

**Abstract:**

**Keywords:**
Bifurcation,
heteroclinic orbits,
steady state,
traveling
wave.