Numerical Mathematics and Advanced Applications

1. Front Matter

   Pages i-xiii

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2. Plenary Lectures

   1. Front Matter

      Pages 1-1

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   2. Numerical Analysis of Finite Element Methods for Eddy Current Problems. Applications to Electrode Simulation

      • Alfredo Bermúdez, Rodolfo Rodríguez, Pilar Salgado

      Pages 3-19

   3. Space Decomposition Preconditioners and Parallel Solvers

      • Radim Blaheta

      Pages 20-38

   4. Boundary Conditions for Hyperbolic Equations or Systems

      • Thierry Gallouët

      Pages 39-55

   5. Fictitious Domain Methods in Shape Optimization with Applications in Free-Boundary Problems

      • Jaroslav Haslinger, Tomáš Kozubek, Karl Kunisch, Günter Peichl

      Pages 56-75

3. Contributed Papers

   1. Front Matter

      Pages 77-77

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   2. Domain Decomposition Method for a Class of Non-Linear Elliptic Equation with Arbitrary Growth Nonlinearity and Data Measure

      • Nour Eddine Alaa, Jean Rodolphe Roche

      Pages 79-88

   3. Variants of Relaxation Schemes and the Lattice Boltzmann Model Relaxation Systems

      • Mapundi Kondwani Banda

      Pages 89-101

   4. A Time Semi-Implicit Relaxation Scheme for Two-Phase Flows in Pipelines

      • Michaël Baudin, Frédéric Coquel, Quang-Huy Tran

      Pages 102-111

   5. Computational Study of Field Scale BTEX Transport and Biodegradation in the Subsurface

      • Markus Bause

      Pages 112-122

   6. A Two-Level Stabilization Scheme for the Navier-Stokes Equations

      • Roland Becker, Malte Braack

      Pages 123-130

   7. A Posteriori Error Estimates for Parameter Identification

      • Roland Becker, Boris Vexler

      Pages 131-140

   8. On a Phase-Field Model with Advection

      • Michal Beneš

      Pages 141-150

   9. Fast Evaluation of Eddy Current Integral Operators

      • Steffen Börm

      Pages 151-158

   10. Adaptive Computation of Reactive Flows with Local Mesh Refinement and Model Adaptation

       • Malte Braack, Alexandre Ern

       Pages 159-168

   11. An Alternative to the Least-Squares Mixed Finite Element Method for Elliptic Problems

       • Jan Brandts, Yanping Chen

       Pages 169-175

   12. Limit Analysis Method in Electrostatics

       • Igor A. Brigadnov

       Pages 176-185

   13. Finite Element Mesh Adjusted to Singularities Applied to Axisymmetric and Plane Flow

       • Pavel Burda, Jaroslav Novotný, Bedřich Sousedík, Jakub Šístek

       Pages 186-195

   14. The Edge Stabilization Method for Finite Elements in CFD

       • Erik Burman, Peter Hansbo

       Pages 196-203

These proceedings collect the major part of the lectures given at ENU­ MATH2003, the European Conference on Numerical Mathematics and Ad­ vanced Applications, held in Prague, Czech Republic, from 18 August to 22 August, 2003. The importance of numerical and computational mathematics and sci­ entific computing is permanently growing. There is an increasing number of different research areas, where numerical simulation is necessary. Let us men­ tion fluid dynamics, continuum mechanics, electromagnetism, phase transi­ tion, cosmology, medicine, economics, finance, etc. The success of applications of numerical methods is conditioned by changing its basic instruments and looking for new appropriate techniques adapted to new problems as well as new computer architectures. The ENUMATH conferences were established in order to provide a fo­ rum for discussion of current topics of numerical mathematics. They seek to convene leading experts and young scientists with special emphasis on con­ tributions from Europe. Recent results and new trends are discussed in the analysis of numerical algorithms as well as in their applications to challenging scientific and industrial problems. The first ENUMATH conference was organized in Paris in 1995, then the series continued by the conferences in Heidelberg 1997, Jyvaskyla 1999 and Ischia Porto 2001. It was a great pleasure and honour for the Czech numerical community that it was decided at Ischia Porto to organize the ENUMATH2003 in Prague. It was the first time when this conference crossed the former Iron Courtain and was organized in a postsocialist country.

• Quasi-Newton method
• algorithms
• computational fluid dynamics
• computational mathematics
• computational physics
• cubature
• finite element method
• numerical analysis
• numerics
• optimization
• scientific computing

• Faculty of Mathematics and Physics Department of Numerical Mathematics, Charles University Prague, Praha 8, Czech Republic

  Miloslav Feistauer, Vít Dolejší, Petr Knobloch, Karel Najzar

Policies and ethics