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9789810243876

Numerical Mathematics and Advanced Applications: Proceedings of the 3rd European Conference

by ; ;
  • ISBN13:

    9789810243876

  • ISBN10:

    9810243871

  • Format: Hardcover
  • Copyright: 2000-06-01
  • Publisher: WORLD SCIENTIFIC PUB CO INC
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Summary

This volume contains major lectures given at Enumath 99, the 3rd European Conference on Numerical Mathematics and Advanced Applications.The Enumath conferences were established in 1995 to provide a forum for discussing current topics in numerical mathematics. They convene leading experts and young scientists, with special emphasis on contributions from Europe. Recent results and new trends are discussed in the analysis of numerical algorithms, as well as their application to challenging scientific and industrial problems.The topics of Enumath 99 included finite element methods, a posteriori error control and adaptive mesh design, non-matching grids, least-squares methods for partial differential equations, boundary element methods and optimization in partial differential equations. Apart from theoretical aspects, a major part of the conference was devoted to numerical methods in interdisciplinary applications such as problems in computational fluid, electrodynamics, telecommunications software, as well as visualization.

Table of Contents

Preface v
Plenary Lectures
Numerical Problems in General Relativity
3(13)
D. N. Arnold
A Survey of a Class of Algebraic Multilevel Iteration Methods for Positive Definite Symmetric Matrices
16(15)
O. Axelsson
P. S. Vassilevski
Finite Element Trace Theorems for Parameter Dependent Sobolev Spaces
31(11)
S. V. Nepomnyaschikh
A Domain Decomposition Algorithm
42(16)
J.-L. Lions
O. Pironneau
High Order Generalized FEM for Lattice Materials
58(14)
C. Schwab
A.-M. Matache
Discretization of Stochastic Differential Equations. Application to Simulation. Stochastic Numerical Methods for Partial Differential Equations
72(18)
D. Talay
Minisymposia
Adaptivity and error control
Reliability of A posteriori Estimate Techniques in Finite Element Schemes
90(10)
S. A. Funken
Discontinuous Galerkin Methods for Convection-Diffusion Problems with Arbitrary Peclet Number
100(10)
R. Becker
P. Hansbo
Hierarchical Error Estimator for Eddy Current Computation
110(11)
R. Beck
R. Hiptmair
B. Wohlmuth
Adaptive Numerics for the Simulation of Magneto-Plasmadynamic Rocket Thrusters
121(10)
U. Iben
G. Warnecke
J. Heiermann
M. Auweter-Kurtz
An Approach to Adaptivity in Optimization Problems
131(10)
H. Kapp
Adaptive Multilevel Solutions of Nonlinear Parabolic PDE Systems
141(5)
J. Lang
A Posteriori Error Analysis for Control Problem Governed by a Nonlinear Elliptic Equation
146(8)
W. Liu
N. Yan
Error Indicators for Adaptive Refinement of Singularly Perturbed Convection-Diffusion Problems
154(8)
M. Nikolova
A posteriori Error Estimates for Boundary Value Problems with Obstacles
162(9)
H. M. Buss
S. I. Repin
Adaptive Solutions of Compressible Navier-Stokes Equations in the Low Mach Number Limit Through Weighted A Posteriori Error Estimate
171(9)
M. Sabanca
G. Brenner
F. Durst
U. Tremel
Application of FEM-BEM Couplings in Continuum Mechanics
FEM-BEM Coupling for 3D Exterior Magnetic Field Problems
180(8)
M. Kuhn
O. Steinbach
Simulation of Piezoelectric Surface Acoustic Wave Devices Using a Coupling of Integral Equations, Finite Elements and Fourier Modes
188(10)
T. Abboud
J.-C. Nedelec
J. Ribbe
Computational Electromagnetics
The Retarded Potential Method for Computational Electro-Magnetics
198(8)
T. Abboud
T. Sayah
Eddy Current Calculation Including Moving Conductors Using the Finite Integration Method
206(8)
M. Clemens
Th. Weiland
M. Wilke
Numerical Investigation of a Boundary Penalization Method for Maxwell Equations
214(12)
M. Costabel
M. Dauge
D. Martin
Financial Mathematics
Multiphase Flows and Multifields Modelling
On the Direct Numerical Simulation of a Fluidization Phenomenon by a Distributed Lagrange Multiplier Based Fictitious Domain Method
226(11)
T.-W. Pan
R. Glowinski
D. D. Joseph
Numerical Simulation of Mass Transfer and Chemical Reactions in Gas-Liquid Flows
237(8)
D. Kuzmin
Direct Simulation of 2D Sedimentation
245(6)
B. Maury
Finite Element Based Methods for Interfacial Flow Simulations
251(9)
A.-K. Tornberg
B. Engquist
Numerical Methods and Modelling in Atmosphere-Ocean Science
A Semi-Lagrangian Finite Element Ocean General Circulation Model Using a Generalized Vertical Coordinate Transformation
260(2)
R. Bermejo
J. Conde
Asymptotic Analysis of a Dry Atmosphere
262(10)
N. Botta
R. Klein
A. Almgren
A Model for Two Coupled Turbulent Fluids
272(2)
C. Bernardi
T. Chacon Rebollo
R. Lewandowski
F. Murat
Modeling Geophysical Flows via Large Scale Statistical Theories
274(6)
M. J. Grote
A. J. Majda
Numerical Methods in Computer Graphics and Visualization
Numerical Modelling/Simulation of Telecommunication Systems
Fuzzy Matrix Approach for Multirate Sampling in Switching Systems
280(8)
T. Barbu
Theoretical and Computational Difficulties of Modern Regression Data Analysis
288(8)
Y. V. Chebrakov
Delay Optimization for Buffered Traffic of Switched Sources
296(7)
O. Gomzikov
An Inverse Problem for the Telegraph System
303(5)
V.-M. Hokkanen
G. Morosanu
P. Neittaanmaki
Least Squares Estimation of Switched Mean Traffic Patterns in ATM Networks
308(14)
A. Murgu
Kalman Filtering Modelling for Traffic Control in Intelligent Networks
322(11)
A. Murgu
P. Lehtinen
Indirect Error Control for Adaptive Filtering
333(8)
I. V. Semoushin
J. V. Tsyganova
Some New Approaches to Generating and Certification of Robust Estimators in Nonlinear Regression
341(8)
Y. V. Chebrakov
V. V. Shmagin
Information Theoretic Decomposition of Exponential-Type Closed Queueing Networks with Finite Capacity and Multiple Servers
349(13)
V. D. Tsiantos
D. D. Kouvatsos
Modern Software Concepts for PDEs
Preprocessing Costs of Cache Based Multigrid
362(10)
C. C. Douglas
J. Hu
M. Iskandarani
Stiff Multi-Parameter Systems, including Least-Squares Methods
Implementation of Least-Squares Finite Element Method for Solving the Generalized Stokes Problem
372(9)
I. O. Arushanian
G. M. Kobelkov
The Energy Method for Symmetrized Convection-Diffusion Problems in Multiply Connected Domains
381(8)
V. V. Denissenko
On Compact Approximations for the PDEs with Variable Coefficients
389(8)
V. P. Il'in
Numerical Experiments with Nonlinear Least Squares FE Method using a Family of Analytical Solutions for the 2D Navier-Stokes Equations
397(10)
I. E. Kaparin
Contributed Papers
An Object Oriented Flow Solver for the CRS4 Virtual Vascular Project
407(9)
G. Abdoulaev
A. Varone
G. Zanetti
Numerical Study of Least-Squares and Stabilized FEM's for Convection-Diffusion Problems
416(8)
V. Akimov
P. Tarvainen
The Mortar Wavelet Method
424(8)
S. Bertoluzza
V. Perrier
Cost-Effective Boundary Integral Method for Three-Dimensional Scattering Problems
432(8)
A. Bespalov
Explanation of a Phenomenon Witnessed in Pre-Processed GMRES
440(8)
J. H. Brandts
An A Posteriori Error Estimate for the Stokes Problem in a Polygonal Domain Using Hood-Taylor Elements
448(8)
P. Burda
Degenerate Matrix Method for Solving Some Stiff Differential Equations
456(6)
T. Cirulis
O. Lietuvietis
Local Estimates of Finite Elements for Degenerate Parabolic Equations
462(8)
C. Ebmeyer
Iterative Solutions of Multimodels for Incompressible Flows
470(8)
L. Fatone
P. Gervasio
A. Quarteroni
Odyssee and Parallelism: Extension and Validation
478(8)
C. Faure
P. Dutto
S. Fidanova
Numerical Analysis of Problems with Nonlinear Newton Boundary Conditions
486(8)
M. Feistauer
K. Najzar
P. Svacek
V. Sobotikova
Diffraction of Non-Plane Waves at Plane Gratings
494(8)
T. Abboud
P. Ferreira
Finite Element Approximation of Maxwell's Eigenproblem
502(8)
D. Boffi
L. Gastaldi
A Numerical Study of the Consolidation Process of Flocculated Suspensions Using a Two Fluid Model
510(8)
K. Gustavsson
J. Oppelstrup
The Monotone Error Rule for Parameter Choice in Regularization Methods
518(8)
U. Hamarik
U. Tautenhahn
Splitting Techniques for the Navier-Stokes Equations
526(8)
H. Haschke
W. Heinrichs
Newton's Method for Tracking Type Control of the Instationary Navier-Stokes Equations
534(8)
M. Hinze
K. Kunisch
Solving Hyperbolic PDEs Using Conservative Subdivision Schemes
542(6)
M. Holmstrom
A New Approach to the SVD-like Approximation Problem
548(8)
I. Ibraghimov
The Numerical Study of Heating and Burning Process in Glass Fabric Manufacture
556(8)
H. Kalis
O. Lietuvietis
Multigrid Methods with Extended Subspaces for Reduced Systems
564(7)
T. Karkkainen
J. Toivanen
Modified FE Discretizations of Incompressible Flow Problems and their Relationship to Stabilized Methods
571(8)
P. Knobloch
L. Tobiska
Axisymmetrical Radiative Heat Transfer Simulation by Ray Tracing Method
579(8)
S. Kochuguev
D. Ofengeim
A. Zhmakin
On Discrete Maximum Principle for Tetrahedral Elements Satisfying a Weakened Acute Type Condition
587(6)
S. Korotov
P. Neittaanmaki
M. Krizek
An Advanced Local-Global Stepsize Control for Multistep Methods
593(8)
G. Yu. Kulikov
S. K. Shindin
Mesh Approximation and Iterative Solution of the Continuous Casting Problem
601(16)
E. Laitinen
J. Pieska
A. Lapin
Iterative Solution for Two Classes of Mesh Variational Inequalities
617(8)
A. Lapin
Numerical Efficiency of Turbulent Flow Computations with Multigrid Methods
625(8)
T. Lehnhauser
M. Schafer
High-Resolution Finite Volume Evolution Galerkin Schemes for Multidimensional Hyperbolic Conservation Laws
633(8)
M. Lukacova-Medvidova
K. W. Morton
G. Warnecke
Determination of Regularization Parameter in Monotone Active Set Method for Image Restoration
641(8)
T. Karkkainen
K. Majava
A Nonoverlapping Domain Decomposition Method for the Nonstationary Navier-Stokes Problem
649(8)
L. Muller
G. Lube
On Spd-Preconditioned Iterative Methods Applied to a Stabilized Galerkin Method
657(8)
S. Muller
G. Lube
Mathematical Model of Unsteady Unsaturated Porous Media Fluid Flow
665(8)
J. Maryska
J. Muzak
Solution of Weakly Singular Integral Equations with Discontinuous Coefficients by Piecewise Polynomial Approximation
673(8)
K. Hakk
A. Pedas
An Exponential Rate of Convergence of the Finite Element Method for the Dirichlet Problem with Singularity of a Solution
681(9)
A. Yu. Bespalov
V. A. Rukavishnikov
Stabilization of the Stokes Problem in Stream Function-Vorticity Formulation
690(8)
F. Dubois
M. Salaun
S. Salmon
Development of a Black-Box Solver for Nonlinear Systems of Elliptic and Parabolic PDE's
698(9)
W. Schonauer
T. Adolph
Adaptive Finite Element Method of Lines for Nonlinear Parabolic Equations
707(8)
K. Segeth
High Order Approximation Schemes
715(10)
A. V. Shapeev
V. P. Shapeev
Symmetry-Preserving Discretizations for Lagrangian Gas Dynamics
725(8)
L. G. Margolin
M. J. Shashkov
M. A. Taylor
A Fictitious Domain Method with Distributed Lagrange Multipliers
733(10)
R. Glowinski
Yu. A. Kuznetsov
T. Rossi
J. Toivanen
Micromagnetic Simulations Using a Combined BDF/GMRES Method
743(10)
V. D. Tsiantos
J. J. Miles
B. K. Middleton
An Interface Preconditioner for the Mortar Element Method
753(9)
Yu. Kuznetsov
Yu. Vassilevski
Wavelet Based Acoustic Classification of Moving Objects
762(8)
A. Z. Averbuch
V. A. Zheludev
Discussion on Convergence Conditions for Restarted GMRES
770
J. Zitko

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