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

Résultats de recherche: Le chapitre dans un livre, un rapport, une anthologie ou une collection › Chapitre › Revue par des pairs

4 Citations (Scopus)

Résumé

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.

langue originale	Anglais
titre	Effective Computational Methods for Wave Propagation
Editeur	CRC Press
Pages	331-357
Nombre de pages	27
ISBN (Electronique)	9781420010879
ISBN (imprimé)	9781584885689
état	Publié - 1 janv. 2008

Contient cette citation

@inbook{d39d3a6c1aa641febbb959c14952a669,

title = "Finite element methods with discontinuous displacement",

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.",

author = "P. Joly and C. Tsogka",

note = "Publisher Copyright: {\textcopyright} 2008 by Taylor \& Francis Group, LLC.",

year = "2008",

month = jan,

day = "1",

language = "English",

isbn = "9781584885689",

pages = "331--357",

booktitle = "Effective Computational Methods for Wave Propagation",

publisher = "CRC Press",

}

TY - CHAP

T1 - Finite element methods with discontinuous displacement

AU - Joly, P.

AU - Tsogka, C.

PY - 2008/1/1

Y1 - 2008/1/1

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.

M3 - Chapter

AN - SCOPUS:85057470885

SN - 9781584885689

SP - 331

EP - 357

BT - Effective Computational Methods for Wave Propagation

PB - CRC Press

ER -

Finite element methods with discontinuous displacement

Résumé

Empreinte digitale

Contient cette citation