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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.
List of contents
Newton-coupling of fixed point iterations.- Coupled problems in microsystem technology.- An a posteriori error estimate for the unsymmetric coupling of FEM and BEM.- On numerical treatment of coupled BEM and FEM for nonlinear exterior problems.- Coupling of a global coarse discretization and local fine discretizations.- The Fourier-finite-element method for elliptic problems in axisymmetric domains.- Parallel solvers for coupled FEM-BEM equations with applications to non-linear magnetic field problems.- Coupling problems in microelectronic device simulation.- Error estimates of Galerkin FEM for a system of coupled Helmholtz equations in one dimension.- Coupled geometric modelling for the analysis of groundwater flow and transport in fractured rock.- Subspace decomposition methods for solving the Euler equations.- Domain decomposition schemes and coupling conditions for kinetic and hydrodynamic equations.- Coupled physical modelling for the analysis of groundwater systems.- Coupling of boundary and finite elements in aeroacoustic calculations.- Numerical solution of the neutron diffusion equation - adaptive concepts in time and space.- A numerical scheme for stress waves at a fluid-solid interface.- Solution of the coupled Navier-Stokes equations.- Numerical simulation of temperature distribution and seam forming in narrow gap welding.- List of participants.- How to contact the authors by email.
