Ebook: Numerical Treatment of Coupled Systems: Proceedings of the Eleventh GAMM-Seminar, Kiel, January 20–22, 1995

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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Content:
Front Matter....Pages i-vi
Newton-Coupling of Fixed Point Iterations....Pages 1-10
Coupled Problems in Microsystem Technology....Pages 11-24
An a posteriori error estimate for the unsymmetric coupling of FEM and BEM....Pages 25-36
On Numerical Treatment of Coupled BEM and FEM for Nonlinear Exterior Problems....Pages 37-46
Coupling of a global coarse discretization and local fine discretizations....Pages 47-58
The Fourier-finite-element method for elliptic problems in axisymmetric domains....Pages 59-72
Parallel Solvers for coupled FEM-BEM equations with applications to non-linear magnetic field problems....Pages 73-85
Coupling Problems in Microelectronic Device Simulation....Pages 86-95
Error Estimates of Galerkin FEM for a System of Coupled Helmholtz Equations in One Dimension....Pages 96-105
Coupled Geometric Modelling for the Analysis of Groundwater Flow and Transport in Fractured Rock....Pages 106-116
Subspace decomposition methods for solving the Euler equations....Pages 117-127
Domain Decomposition Schemes and Coupling Conditions for Kinetic and Hydrodynamic Equations....Pages 128-138
Coupled Physical Modelling for the Analysis of Groundwater Systems....Pages 139-150
Coupling of Boundary and Finite Elements in Aeroacoustic Calculations....Pages 151-162
Numerical Solution of the Neutron Diffusion Equation—Adaptive Concepts in Time and Space....Pages 163-174
A Numerical Scheme for Stress Waves at a Fluid-Solid Interface....Pages 175-185
Solution of the coupled Navier-Stokes equations....Pages 186-197
Numerical Simulation of Temperature Distribution and Seam Forming in Narrow Gap Welding....Pages 198-207
Back Matter....Pages 208-216

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Content:
Front Matter....Pages i-vi
Newton-Coupling of Fixed Point Iterations....Pages 1-10
Coupled Problems in Microsystem Technology....Pages 11-24
An a posteriori error estimate for the unsymmetric coupling of FEM and BEM....Pages 25-36
On Numerical Treatment of Coupled BEM and FEM for Nonlinear Exterior Problems....Pages 37-46
Coupling of a global coarse discretization and local fine discretizations....Pages 47-58
The Fourier-finite-element method for elliptic problems in axisymmetric domains....Pages 59-72
Parallel Solvers for coupled FEM-BEM equations with applications to non-linear magnetic field problems....Pages 73-85
Coupling Problems in Microelectronic Device Simulation....Pages 86-95
Error Estimates of Galerkin FEM for a System of Coupled Helmholtz Equations in One Dimension....Pages 96-105
Coupled Geometric Modelling for the Analysis of Groundwater Flow and Transport in Fractured Rock....Pages 106-116
Subspace decomposition methods for solving the Euler equations....Pages 117-127
Domain Decomposition Schemes and Coupling Conditions for Kinetic and Hydrodynamic Equations....Pages 128-138
Coupled Physical Modelling for the Analysis of Groundwater Systems....Pages 139-150
Coupling of Boundary and Finite Elements in Aeroacoustic Calculations....Pages 151-162
Numerical Solution of the Neutron Diffusion Equation—Adaptive Concepts in Time and Space....Pages 163-174
A Numerical Scheme for Stress Waves at a Fluid-Solid Interface....Pages 175-185
Solution of the coupled Navier-Stokes equations....Pages 186-197
Numerical Simulation of Temperature Distribution and Seam Forming in Narrow Gap Welding....Pages 198-207
Back Matter....Pages 208-216
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