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8th Symposium on Multidisciplinary Analysis and Optimization 2000

作者： Audet, Charles Dennis Jr., J.E. Moore, Douglas W. Booker, Andrew Frank, Paul D. Department of Computational and Applied Mathematics Rice University 6100 Main St Houston TX 77005 United States Mathematics and Engineering Analysis Boeing Phantom Works Mathematics and Computing Technology Box 3707 M/S 7L-68 Seattle WA 98124 United States

This paper describes an algorithm and provides test results for surrogate-model-based optimization. In this type of optimization, the objective and constraint functions are represented by global surrogates, i.e. response models, of the true problem responses. In general, guarantees of global optimality are not possible. However, a robust surrogate-model-based optimization method is presented here that has good global search properties, and proven local convergence results. This paper describes methods for handling three key issues in surrogate-model-based optimization. These issues are maintaining a balance of effort between global design space exploration and local optimizer region refinement, maintaining good surrogate model conditioning as points pile up in local regions, and providing a provably convergent method for ensuring local optimality. © 2000 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved.

关键词： Constrained optimization

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Optimizing the sum of linear fractional functions and applications 00

Optimizing the sum of linear fractional functions and applic...

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Proceedings of the eleventh annual ACM-SIAM symposium on Discrete algorithms

作者： Danny Z. Chen Ovidiu Daescu Yang Dai Naoki Katoh Xiadong Wu Jinhui Xu Department of Computer Science and Engineering University of Notre Dame Notre Dame IN Department of Computer Science and Engineering University of Notre Dame Notre Dame IN and Center for Applied Mathematics University of Notre Dame Notre Dame Indiana Department of Mathematical and Computing Sciences Tokyo Institute of Technology 2-12-1 O-okayama Meguro-ku Tokyo 152 Japan and Grant-in-Aid of Ministry of Science Culture and Education of Japan Department of Architecture and Architectural Systems Graduate School of Engineering Kyoto University Yoshida-Honmachi Sakyo-ku Kyoto 606-8501 Japan Department of Computer Science and Engineering University of Notre Dame Notre Dame IN and Graduate School University of Notre Dame Notre Dame Indiana

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Market split and basis reduction: Towards a solution of the cornuéjols-dawande instances 1

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7th International Conference on Integer Programming and Combinatorial Optimization, IPCO 1999

作者： Aardal, Karen Bixby, Robert E. Hurkens, Cor A. J. Lenstra, Arjen K. Smeltink, Job W. Department of Computer Science Utrecht University Netherlands Department of Computational and Applied Mathematics Rice University United States Department of Mathematics and Computing Science Eindhoven University of Technology Netherlands Emerging Technology Citibank N.A United States

ISBN: (数字)9783540487777

ISBN: (纸本)3540660194

At the IPCO VI conference Cornuéjols and Dawande proposed a set of 0-1 linear programming instances that proved to be very hard to solve by traditional methods, and in particular by linear programming based branch-and-bound. They offered these market spliti nstances as a challenge to the integer programming community. The market split problem can be formulated as a system of linear diophantine equations in 0-1 variables. In our study we use the algorithm of Aardal, Hurkens, and Lenstra (1998) based on lattice basis reduction. This algorithm is not restricted to deal with market split instances only but is a general method for solving systems of linear diophantine equations with bounds on the variables. We show computational results from solving both feasibility and optimization versions of the market split instances with up to 7 equations and 60 variables, and discuss various branching strategies and their effect on the number of nodes enumerated. To our knowledge, the largest feasibility and optimization instances solved before have 6 equations and 50 variables, and 4 equations and 30 variables respectively. We also present a probabilistic analysis describing how to compute the probability of generating infeasible market split instances. The formula used by Cornuéjols and Dawande tends to produce relatively many feasible instances for sizes larger than 5 equations and 40 variables. © Springer-Verlag Berlin Heidelberg 1999.

关键词： Integer programming

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A pure java parallel flow solver 37th

A pure java parallel flow solver

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37th Aerospace Sciences Meeting and Exhibit, 1999

作者： Häusec, Jochem Ludewig, Thorsten Gollnick, Torsten Winkelmann, Ralf William, Roy Muylaert, Jean Spel, Martin Department of Transportation University of Applied Sciences Germany Department of High Performance Computing CLE GmbH Germany CACR California Institute of Technology PasadenaCA United States European Space Agency ESTEC Noordwijk Netherlands

In this paper an overview is given of the "Have Java"2 project to attain a pure Java parallel Navier-Stokes flow solver (JParNSS) based on the thread concept and remote method invocation @MI). The goal of this project is to produce an industrial flow solver running on an arbitrary sequential or parallel architecture, utilizing the Internet, capable of handling the most complex 3D geometries as well as flow physics, and also linking to codes in other areas such as aeroelasticity etc. Since Java is completely object oriented the code has been written in an object-oriented programming (OOP) style. The code also includes a graphics user interface (GUI) as well as an interactive steering package for the parallel architecture. The Java OOP approach provides profoundly improved software productivity, robustness, and security as well as reusability and maintainability. OOP allows code construction similar to the aerodynamic design process because objects can be software coded and integrated, reflecting actual design procedures. In addition, Java is the programming language of the Internet and thus Java objects on disparate machines or even separate networks can be connected. We explain the motivation for the design of JParNSS along with its capabilities that set it apart from other solvers. In the first two sections we present a discussion of the Java language as the programming tool for aerospace applications. In section three the_ objectives of the Have Java project arc presented. In the next section the layer structures of JParNSS are discuss-ed with emphasis on the parallelization and client-server (RMI) layers. JParNSS, like its predecessor ParNSS (ANSI-C), is based on the multiblock idea, and allows for arbitrarily complex topologies. Grids are accepted in GridPro or Plot3D format. Using GridPro property settings, grids of any size or block number can be directly read by JParNSS without any further modifications, requiring no additional preparation time for the solver

关键词： Java programming language

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Convexity and q-gamma function

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Rendiconti del Circolo Matematico di Palermo 1999年第2期48卷 285-298页

作者： Elezović, N. Giordano, C. Pečarić, J. Department of Applied Mathematics Faculty of Electrical Engineering and Computing 10000 Zagreb Unska 3 Croatia Dipartimento di Matematica Università di Torino 10123 Torino Via Carlo Alberto 10 Italy Faculty of Textile Technology University of Zagreb 10000 Zagreb Pierottijeva 6 Croatia

Inequalities and convexity properties known for the gamma function are extended to the q-gamma function, 0 > q > 1. Applying some classical inequalities for convex functions, we deduce monotonicity results for several functions involving the q-gamma function. Further applications to the probability theory are given. © 1999 Springer.

关键词： Convexity q-Gamma function

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NΕκταr code: Dynamic simulations without remeshing

NΕκταr code: Dynamic simulations without remeshing

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Computational Technologies for Fluid / Thermal / Structural / Chemical Systems with Industrial Applications - 1999 (The ASME Pressure Vessels and Piping Conference)

作者： Kirby, R.M. Warburton, T.C. Sherwin, S.J. Beskok, A. Karniadakis, G.E. Center for Fluid Mechanics Division of Applied Mathematics Brown University Providence RI United States Oxford University Computing Laboratory Oxford United Kingdom Imperial College of Science Technology and Medicine Department of Aeronautics London United Kingdom Texas A and M University Mechanical Engineering Department College Station TX United States Center for Fluid Mechanics Division of Applied Mathematics Providence RI United States

In this paper we will present a general purpose h-p finite element (or spectral/hp element) code for solving the Navier-Stokes equations in moving computational domains without the need for remeshing. The code uses Galerkin and discontinuous Galerkin projections and a high-order trial basis suitable for polymorphic subdomains. Using these techniques we model fluid/structure interactions with large structural deformation without remeshing while maintaining both numerical accuracy and convergence. Specific case studies we present include simulations of flow past an `energy-harvesting eel', a 3D flow in a micro-pump, and arterial flows.

关键词： Computational fluid dynamics

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Theoretical studies of low-energy electron-CO2 scattering: Total, elastic, and differential cross sections

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Physical Review A 1999年第3期60卷 2186-2186页

作者： T. N. Rescigno D. A. Byrum W. A. Isaacs C. W. McCurdy Physics and Space Technology Directorate Lawrence Livermore National Laboratory Livermore California 94551 Department of Applied Science University of California–Davis Livermore California 94551 Computing Sciences Directorate Lawrence Berkeley National Laboratory Berkeley California 94720

We report the results of a theoretical study of electron scattering by CO2 at incident electron energies ranging from 0.25 to 10 eV using the complex Kohn variational method. These are the first fully ab initio calculations to accurately reproduce the two dominant features observed in experiment, namely, the dramatic rise in the integral cross sections below 2.0 eV and the resonance enhancement near 3.8 eV. Both of these effects are sensitive to the inclusion of electronic correlation effects involving long-range target polarization and short-range distortion. We have also carried out a preliminary study of effects of target vibrational motion in 2Πu symmetry with an adiabatic nuclei treatment of the symmetric stretch mode. We find that this has a substantial effect on the width of the 3.8 eV resonance feature and gives results for both the integral elastic and total cross sections in excellent agreement with experiment. Our calculated differential elastic cross sections are also in good accord with recent experimental results.

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Visualization of scalar topology for structural enhancement

Visualization of scalar topology for structural enhancement

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IEEE Conference on Visualization

作者： C.L. Bajaj V. Pascucci D.R. Schikore Department of Computer Sciences and TICAM University of Technology Austin TX USA Lawrence Livermore National Laboratory Center for Applied Scientific Computing Livermore CA USA

Scalar fields arise in every scientific application. Existing scalar visualization techniques require that the user infers the global scalar structure from what is frequently an insufficient display of information. We present a visualization technique which numerically detects the structure at all scales, removing from the user the responsibility of extracting information implicit in the data, and presenting the structure explicitly for analysis. We further demonstrate how scalar topology detection proves useful for correct visualization and image processing applications such as image co-registration, isocontouring, and mesh compression.

关键词： Topology Data visualization Displays Data mining Scientific computing Laboratories Application software Information analysis Image processing Medical services

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Hypervolume visualization: a challenge in simplicity

Hypervolume visualization: a challenge in simplicity

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IEEE Symposium on Volume Visualization and Graphics

作者： C.L. Bajaj V. Pascucci G. Rabbiolo D.R. Schikore Department of Computer Sciences and TICAM University of Technology Austin TX USA Department of Mathematics Purdue University West Lafayette IN USA Center for Applied Scientific Computing Lawrence Livemore National Laboratory Livermore CA USA

Hypervolume visualization is designed to provide simple and fully explanatory images that give comprehensive in-sights into the global structure of scalar fields of any dimension. The basic idea is to have a dimension independent viewing system that scales nicely with the geometric dimension of the dataset and that can be combined with classical approaches like isocontouring and animation of slices of nD data. One completely abandons (for core simplicity) rendering techniques, such as hidden surface removal or lighting or radiosity, that enhance three dimensional realism and concentrate on the real-time display of images that highlight structural (topological) features of the no dataset (holes, tunnels, cavities, depressions, extrema, etc.). Hypervolume visualization on the one hand is a generalization of direct parallel projection methods in volume rendering. To achieve efficiency (and real-time performance on a graphics workstation) the authors combine the advantages of (i) a hierarchical representations of the hypervolume data for multiresolution display and (ii) generalized object space splatting combined with texture-mapped graphics hardware acceleration. The main results of the paper are thus both a multiresolution direct rendering algorithm and scalable graphical user interface that provides global views of scalar fields in any dimension, while maintaining the fundamental characteristics of ease of use, and quick exploratory user interaction.

关键词： Rendering (computer graphics) Graphics Animation Three dimensional displays Data visualization Workstations Hardware Acceleration Graphical user interfaces

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Managing surrogate objectives to optimize a helicopter rotor design - Further experiments AIAA MDO 98-4717 7th

Managing surrogate objectives to optimize a helicopter rotor...

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7th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, 1998

作者： Booker, Andrew J. Frank, Paul D. Dennis, J.E. Moore, Douglas W. Serafini, David B. Mathematics and Engineering Analysis Boeing Shared Service Group Applied Research and Technology Box 3707 M/S 7L-68 SeattleWA98124 United States Department of Computational and Applied Mathematics Center for Research on Parallel Computation Rice University P.O. Box 1892 M/S 134 HoustonTX77005 United States National Energy Research Scientific Computing Center E.O. Lawrence Berkeley National Laboratory MS 50B-2239 1 Cyclotron Road BerkeleyCA94720 United States

It is common engineering practice to use response surface approximations as surrogates for an expensive objective function in engineering design. The rationale is to reduce the number of detailed, costly analyses required during optimization. In earlier work, we developed a rigorous and effective scheme for managing the interplay between the use of surrogates in the optimization and scheduled progress checks with the expensive analysis so that the process converges to a solution of the original design problem. In this paper, we will report our latest numerical tests with a helicopter rotor design problem which has proved to be a fruitful laboratory for experimentation. The results given here support the use of an ANOVA decomposition on a DACE model to identify the most important optimization variables in an optimal design problem. © 1998, American Institute of Aeronautics and Astronautics, Inc.

关键词： Nonlinear programming

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