Kildishev, A., Chettiar, U.
School of Electrical and Computer Engineering, Purdue University
Spatial Optical Analysis (SHA) of electromagnetic fields is a useful tool in analytical and numerical analysis of complex electromagnetic sources. A mathematical background for setting the Dirichlet boundary condition in the Finite Element Method (FEM) is shown.
Lienhart, G., Gembris, D., Männer, R.
We have studied how the solution of partial differential equations by means of finite element methods could be accelerated using Field Programmable Gate Arrays (FPGAs). First, we discuss in general the capabilities of current FPGA technology for floating-point implementations of number crunching. Based on practical results for basic floating-point operators performance limits are outlined. ...
Nohara, B.T., Saigo, T.
Tokyo Nonlinear Analysis Research Center, Musashi Institute of Technology, Tokyo, Japan
In this paper, we present the stability analysis numerically using FEMLAB. We use FEMLAB for solving PDEs (Partial Differential Equation) and obtain numerical solutions. We show a case study of avoiding perturbation problems arising in some PDEs derived by “nearly bichromatic waves” using FEMLAB. Coefficients of equations determine whether solutions are stable. In analyzing the ...
Pinto, F., Rizzetto, G., Nobile, E.
DINMA, Sezione di Fisica Tecnica, Università di Trieste, Trieste, ITALY
Convective wavy channels represent the building block of an ample variety of heat exchangers, and from an engineering point of view a desired target is to modify the shape of the channels in order to maximize their heat transfer rate, without an excessive penalty in their pressure losses. In this paper we describe how this has been achieved by coupling FEMLAB, a general purpose unstructured ...
Institut für Geoökologie der Technischen Universität, Braunschweig
Kontinuierliche populationsdynamische Modelle lassen sich durch Systeme von gewöhnlichen Differentialgleichungen darstellen. Die räumliche Ausbreitung wird durch parabolische partielle Differentialgleichungen beschrieben, im einfachsten Fall durch eine Konvektions-Dispersionsgleichung. Für gekoppelte Populationen erhält man damit ein System von Reaktions-Diffusionsgleichungen mit erheblichen ...
University of Wisconsin – Madison
Boundary value problems posed over thin solids are amenable to a dimensional reduction in that one or more spatial variables may be eliminated from the governing equation, resulting in significant computational gains with minimal loss in accuracy. Extant dimensional reduction techniques unfortunately rely on representing the solid as a hypothetical mid-surface plus a possibly varying thickness. ...
Department of Mathematics, Bologna University, Bologna, Italy
PDE-based methods apply in a large variety of image processing and computer vision areas such as denoising, smoothing, segmentation and restoration. Aim of this work is to apply the primitives provided by FEMLAB to some well known PDE-based models used in image processing. This application can be utilized by students, approaching PDE-models in image processing, as well as by researchers who can ...
van Schijndel, A.W.M.J.
Technische Universiteit Eindhoven, Netherlands
FEMLAB has standard facilities to export models to Simulink. Normally, the standard export works well if the solvers, available in Simulink, can handle the problem. However, if a model in FEMLAB needs special solvers, for example airflow or other non-linear problems, the standard export to Simulink is often not suitable, because the standard solvers of Simulink cannot handle such a problem ...
Universität Tübingen, Inst. f. Theoretische Physik, Tübingen
The common basis of physical laws is the continuity of the action field. It implies Structural mechanics, Hydrodynamics, Quantum mechanics, Electrodynamics and the self-organisation of matter. A general tool to investigate all the basic equations is FEMLAB. In academic training it allows to take the concentration away from the manifold of mathematical methods of solutions and draw it to the real ...
Butler, P.J.1, Ferko, M.C.2
1 Department of Bioengineering, Penn State University
2 Stryker Orthopedics Corporation
As biologists uncover the structural and functional complexity of living organisms, it is increasingly clear that mathematical models are needed to synthesize experimental data and predict biological responses to external stimuli. Bioengineers are well-suited to develop such models and to add mechanics, fluid flow and other physical cues to the understanding of biological structure and ...