Problems and Methods in Mathematical Physics

ISBN-13: 9783322851628 / Niemiecki / Miękka / 2014 / 224 str.

Lothar Jentsch; Fredi Troltzsch

Opis

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.

Spis treści

On the Problem of Distributions Multiplication.- Developments in Boundary Element Methods for Time-Dependent Problems.- Finite Element Variational Crimes in the Solution of Nonlinear Stationary Problems.- Elasticity Boundary Value Problems on Cracks with Partial Contact of Their Surfaces.- u-Factorization and Toeplitz Operators with Infinite Index.- Implementational Details of the Boundary Element Method.- On the Boundary-Field Equation Methods for Fluid-Structure Interactions.- Some Solved and Unsolved Canonical Transmission Problems of Diffraction Theory.- Mathematical Problems of the Anisotropic Elasticity for Piece-wise Homogeneous Bodies.- Theory of Multipolar Fluids.- Domain Decomposition Methods for Singular Elliptic Problems.- Singularities in interface problems.- Domain Control and Free Boundary Problems.- Wavelet Approximation Methods for Integral and Pseudodifferential Equations.- On the Theoretical Foundation of CFD.- Spectral Theory of Approximation Methods for Convolution Equations.- The Convergence of the Cascadic Conjugate-Gradient Method under a Deficient Regularity.- Selfadaptive FE—approach of shell buckling and postcritical solution branches including dimensional recovery in disturbed subdomains.- Multigrid Method on Unstructured Meshes.