Finite elements in space and time for generalized viscoelastic maxwell model

A. Idesman; R. Niekamp; E. Stein

doi:10.1007/s004660000213

Finite elements in space and time for generalized viscoelastic maxwell model

A. Idesman, R. Niekamp, E. Stein

Mechanical Engineering

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24 Scopus citations

Abstract

The generalization of a new numerical approach with simultaneous space-time finite element discretization for viscoelastic problems developed in the papers by Buch et al. and Idesman et al. is presented for the case of the generalized viscoelastic Maxwell model. The approach has some very attractive advantages with respect to semidiscretization methods. Numerical examples show the effectiveness of simultaneous space-time finite element calculations and a high convergence rate for adaptive refinement.

Original language	English
Pages (from-to)	49-60
Number of pages	12
Journal	Computational Mechanics
Volume	27
Issue number	1
DOIs	https://doi.org/10.1007/s004660000213
State	Published - Jan 2001

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abstract = "The generalization of a new numerical approach with simultaneous space-time finite element discretization for viscoelastic problems developed in the papers by Buch et al. and Idesman et al. is presented for the case of the generalized viscoelastic Maxwell model. The approach has some very attractive advantages with respect to semidiscretization methods. Numerical examples show the effectiveness of simultaneous space-time finite element calculations and a high convergence rate for adaptive refinement.",

author = "A. Idesman and R. Niekamp and E. Stein",

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AB - The generalization of a new numerical approach with simultaneous space-time finite element discretization for viscoelastic problems developed in the papers by Buch et al. and Idesman et al. is presented for the case of the generalized viscoelastic Maxwell model. The approach has some very attractive advantages with respect to semidiscretization methods. Numerical examples show the effectiveness of simultaneous space-time finite element calculations and a high convergence rate for adaptive refinement.

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Finite elements in space and time for generalized viscoelastic maxwell model

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