Problems and Methods in Mathematical Physics

Description

This Teubner-Text contains selected contributions to the "10th Conference on Problems and Methods in Mathematical Physics (10th TMP)," held at the Technical University of Chemnitz-Zwickau in Chemnitz, Germany, September 13 - 17, 1993. The main topics of the conference were Scientific Computing in Solid and Fluid Mechanics Problems with Singularities Boundary Integral Methods Multilevel Finite Element Methods Free Boundary Value Problems and Optimal Control Numerical Functional Analysis. The conference brought together more than 170 experts from 17 countries, and the 18 plenary and invited lectures as well as the 120 short lectures were devo- ted to plenty of problems and latest results in applied mathematical research. Undoubtedly, the majority of these contributions would have deserved publi- cation. However, this volume does not intend to reflect the whole scientific contents of the conference in the usual form of proceedings. It is rather aiming at giving a survey of some recent trends in fields covered by the topics of this meeting. The organizing committee hopes that this Teubner-Text reflects the main spirit of the 10th TMP Front Matter....Pages 1-8 On the Problem of Distributions Multiplication....Pages 9-16 Developments in Boundary Element Methods for Time-Dependent Problems....Pages 17-32 Finite Element Variational Crimes in the Solution of Nonlinear Stationary Problems....Pages 33-42 Elasticity Boundary Value Problems on Cracks with Partial Contact of Their Surfaces....Pages 43-58 u-Factorization and Toeplitz Operators with Infinite Index....Pages 59-70 Implementational Details of the Boundary Element Method....Pages 71-78 On the Boundary-Field Equation Methods for Fluid-Structure Interactions....Pages 79-88 Some Solved and Unsolved Canonical Transmission Problems of Diffraction Theory....Pages 89-99 Mathematical Problems of the Anisotropic Elasticity for Piece-wise Homogeneous Bodies....Pages 100-110 Theory of Multipolar Fluids....Pages 111-119 Domain Decomposition Methods for Singular Elliptic Problems....Pages 120-129 Singularities in interface problems....Pages 130-137 Domain Control and Free Boundary Problems....Pages 138-147 Wavelet Approximation Methods for Integral and Pseudodifferential Equations....Pages 148-164 On the Theoretical Foundation of CFD....Pages 165-174 Spectral Theory of Approximation Methods for Convolution Equations....Pages 175-184 The Convergence of the Cascadic Conjugate-Gradient Method under a Deficient Regularity....Pages 185-194 Selfadaptive FE—approach of shell buckling and postcritical solution branches including dimensional recovery in disturbed subdomains....Pages 195-208 Multigrid Method on Unstructured Meshes....Pages 209-218 Back Matter....Pages 219-224