Numerical Treatment of Coupled Systems

1. Front Matter

   Pages i-vi

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2. Newton-Coupling of Fixed Point Iterations

   • Stefan Artlich, Wolfgang Mackens

   Pages 1-10

3. Coupled Problems in Microsystem Technology

   • Hans-Joachim Bungartz, Stefan Schulte

   Pages 11-24

4. An a posteriori error estimate for the unsymmetric coupling of FEM and BEM

   • Carsten Carstensen, Darius Zarrabi

   Pages 25-36

5. On Numerical Treatment of Coupled BEM and FEM for Nonlinear Exterior Problems

   • M. Feistauer, G. C. Hsiao, R. E. Kleinman

   Pages 37-46

6. Coupling of a global coarse discretization and local fine discretizations

   • P. J. J. Ferket

   Pages 47-58

7. The Fourier-finite-element method for elliptic problems in axisymmetric domains

   • Bernd Heinrich

   Pages 59-72

8. Parallel Solvers for coupled FEM-BEM equations with applications to non-linear magnetic field problems

   • Bodo Heise

   Pages 73-85

9. Coupling Problems in Microelectronic Device Simulation

   • R. Hiptmair, R. H. W. Hoppe, B. Wohlmuth

   Pages 86-95

10. Error Estimates of Galerkin FEM for a System of Coupled Helmholtz Equations in One Dimension

    • F. Ihlenburg, Ch. Makridakis

    Pages 96-105

11. Coupled Geometric Modelling for the Analysis of Groundwater Flow and Transport in Fractured Rock

    • H. Kasper, G. Kosakowski, T. Taniguchi, W. Zielke

    Pages 106-116

12. Subspace decomposition methods for solving the Euler equations

    • Edgar Katzer

    Pages 117-127

13. Domain Decomposition Schemes and Coupling Conditions for Kinetic and Hydrodynamic Equations

    • Axel Klar

    Pages 128-138

14. Coupled Physical Modelling for the Analysis of Groundwater Systems

    • O. Kolditz, R. Ratke, W. Zielke, H.-J. Diersch

    Pages 139-150

15. Coupling of Boundary and Finite Elements in Aeroacoustic Calculations

    • H. Schippers, J. A. Wensing

    Pages 151-162

16. Numerical Solution of the Neutron Diffusion Equation—Adaptive Concepts in Time and Space

    • Werner Schmid, Frank Wagner

    Pages 163-174

17. A Numerical Scheme for Stress Waves at a Fluid-Solid Interface

    • U. Specht, Ch. Dickopp, J. Ballmann

    Pages 175-185

18. Solution of the coupled Navier-Stokes equations

    • C. Vuik, A. Segal

    Pages 186-197

19. Numerical Simulation of Temperature Distribution and Seam Forming in Narrow Gap Welding

    • D. Weiß, G. Lube

    Pages 198-207

20. Back Matter

    Pages 208-216

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The GAMM Committee for "Efficient Numerical Methods for Partial Differential Equations" organizes seminars and workshops on subjects concerning the algorithmic treatment of partial differential equations. The topics are discretisation methods like the finite element and the boundary element method for various type of applications in structural and fluid mechanics. Particular attention is devoted to the advanced solution methods. The series of such seminars was continued in 1995, January 20-22, with the 11th Kiel-Seminar on the special topic Numerical Treatment of Coupled Systems at the Christian-Albrechts-University of Kiel. The seminar was attended by 100 scientist from 9 countries. 23 lectures were given, including two survey lectures. Different kinds of couplings are considered in this volume. The coupling of different components may occur in the physical model. On the other hand, a coupling of subsystems can be generated by the numerical solution technique. General examples of the latter kind are the domain decomposition (see p. 128) or subspace decomposition (p. 117). The local defect correction method couples different discretizations of the same problem in order to improve the results, although the basic linear system to be solved remains unchanged (p. 47). In general, the aim of the numerical coupling is to make use of (efficient) subsystem solvers (p. 1). The combination of different discretization techniques is mentioned on page 59.

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