Finite element methods with discontinuous displacement

P. Joly; C. Tsogka

Finite element methods with discontinuous displacement

P. Joly
, C. Tsogka

Department of Mathematics
University of Chicago

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

4 Citations (Scopus)

Abstract

We consider in this chapter the first order in time velocity-stress formulation of elastodynamics. In comparison with the second order formulation that we studied in the previous chapter, the first order system has the following two advantages: (i) it can be naturally coupled with the fictitious domain method for taking into account the free surface boundary condition on the stress tensor, (ii) as for any first order hyperbolic problem it is possible for this formulation to derive a perfectly matched absorbing layer model which permits modelling elastic wave propagation in infinite domains.

Original language	English
Title of host publication	Effective Computational Methods for Wave Propagation
Publisher	CRC Press
Pages	331-357
Number of pages	27
ISBN (Electronic)	9781420010879
ISBN (Print)	9781584885689
Publication status	Published - 1 Jan 2008

Cite this

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abstract = "We consider in this chapter the first order in time velocity-stress formulation of elastodynamics. In comparison with the second order formulation that we studied in the previous chapter, the first order system has the following two advantages: (i) it can be naturally coupled with the fictitious domain method for taking into account the free surface boundary condition on the stress tensor, (ii) as for any first order hyperbolic problem it is possible for this formulation to derive a perfectly matched absorbing layer model which permits modelling elastic wave propagation in infinite domains.",

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N2 - We consider in this chapter the first order in time velocity-stress formulation of elastodynamics. In comparison with the second order formulation that we studied in the previous chapter, the first order system has the following two advantages: (i) it can be naturally coupled with the fictitious domain method for taking into account the free surface boundary condition on the stress tensor, (ii) as for any first order hyperbolic problem it is possible for this formulation to derive a perfectly matched absorbing layer model which permits modelling elastic wave propagation in infinite domains.

AB - We consider in this chapter the first order in time velocity-stress formulation of elastodynamics. In comparison with the second order formulation that we studied in the previous chapter, the first order system has the following two advantages: (i) it can be naturally coupled with the fictitious domain method for taking into account the free surface boundary condition on the stress tensor, (ii) as for any first order hyperbolic problem it is possible for this formulation to derive a perfectly matched absorbing layer model which permits modelling elastic wave propagation in infinite domains.

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SN - 9781584885689

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BT - Effective Computational Methods for Wave Propagation

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Finite element methods with discontinuous displacement

Abstract

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