A new visco- and elastodynamic time domain boundary element formulation
type: Item
instance of: scholarly article
title: A new visco- and elastodynamic time domain boundary element formulation
zbMATH Open document ID: 0898.73071
published in: Computational Mechanics
publication date: 1997-12-11T00:00:00Z
review text: A new approach for the evaluation of the convolution integrals, the so-called operational quadrature methods, is presented. In this formulation, the convolution integral is numerically approximated by a quadrature formula whose weights are determined by the Laplace transform of the fundamental solution and by a linear multistep method. Hence, the frequency domain fundamental solution can be used without the need of an inverse transformation. Therefore, the extension to viscoelastic problems succeeds using the elastic-viscoelastic correspondence principle.
Mathematics Subject Classification ID: 74S15
Mathematics Subject Classification ID: 74Hxx
Mathematics Subject Classification ID: 74D99
zbMATH DE Number: 1096354
zbMATH Keywords: operational quadrature method
zbMATH Keywords: convolution integral
zbMATH Keywords: Laplace transform
zbMATH Keywords: linear multistep method
zbMATH Keywords: frequency domain fundamental solution
author: Martin Schanz
author: H. Antes
MaRDI profile type: Publication
full work available at URL: s004660050265
OpenAlex ID: W2168157278
DOI: 10.1007/S004660050265
description: scientific article; zbMATH DE number 1096354