Numerical Techniques for Boundary Element Methods: Proceedings of the Seventh Gamm-Seminar Kiel, January 25-27, 1991

ISBN-13: 9783528076337 / Niemiecki / Twarda / 1992 / 193 str.

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Opis

11 The GAMM Committee for Efficient Numerical Methods for Partial 11 Differential Equations organises 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 types of applications in structural and fluid mechanics. Particular attention is devoted to the advanced solution methods. The series of such workshops was continued in 1991, January 25- 27, with the 7th Kiel-Seminar on the special topic 11 11 Numerical techniques for boundary element methods at the Christian-Albrechts-University of Kiel. The seminar was attended by 57 scientists from 8 countries. The list of topics contained applications of the boundary element method (BEM) to various problems of practical interest, algo rithmic aspects of the BEM (coupling with finite element method, parallelisation), convergence analysis, and in particular the treatment of the numerical integration. In six contributions the quadrature of weakly singular, Cauchy singular, and hypersingular integrals is analysed. 11 11 The editor thanks the DFG-Schwerpunkt Randelementmethoden for its support. He also likes to express his gratitude to all persons involved in the organisation of the seminar.

Spis treści

On parallel processing in 3-D acoustic BEM.- On the boundary element method realization on a transputer system.- Direct evaluation of hypersingular integrals in 2D BEM.- Efficient algorithms for vector or parallel-computing to analyse nonlinear gravity waves with the boundary element method.- Modal analysis of solar arrays using boundary integral equations.- A panel method using numerical integration.- On the existence and evaluation of the derivatives of the single layer potential.- The triangle-to-square transformation for finite-part integrals.- Numerical solution of the oblique derivative problem in R3 using the Galerkin-Bubnov-method Numerical integration, solution of the linear system of equations and the use of vector pipeline machines.- The analytical integration of boundary integrals for plate bending.- Transient heat conduction by boundary collocation methods and FEM — a comparison study.- Computation of plane stress fields by the covering domain method.- On quadrature methods of Gauss type for singular integral equations and the airfoil equation.- Convergence of spline approximation methods for periodic elliptic pseudodifferential equations.- Calculation of blade-vortex interaction of rotary wings in incompressible flow by an unsteady vortex-lattice method including free wake analysis.- Numerical techniques for the coupling stiffness matrix of FEM and BEM.- On the numerical integration of singular surface integrals in the BEM.- List of participants.