Fictitious domain finite element methods using cut elements: II. A stabilized Nitsche method

Applied Numerical Mathematics

Volumn 62, Issue 4, 2012, Pages 328-341

  Burman, Erik ^a   Hansbo, Peter ^b  

^a UNIVERSITY OF SUSSEX   (United Kingdom)

^b CHALMERS UNIVERSITY OF TECHNOLOGY   (Sweden)

Author keywords

Fictitious domain; Finite element; Interior penalty

Indexed keywords

CONDITION NUMBERS; FICTITIOUS DOMAINS; FINITE ELEMENT; MATRIX; OPTIMAL A PRIORI ERROR ESTIMATES; PENALTY TERM; SYSTEM MATRICES; UPPER BOUND; WEAK BOUNDARY CONDITIONS;

NUMBER THEORY;

FINITE ELEMENT METHOD;

EID: 84857789102     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apnum.2011.01.008     Document Type: Conference Paper

References (7)

1. R. Becker, E. Burman, and P. Hansbo A Nitsche extended finite element method for incompressible elasticity with discontinuous modulus of elasticity Comput. Methods Appl. Mech. Engrg. 198 41-44 2009 3352 3360
2. E. Burman, and P. Hansbo Fictitious domain finite element methods using cut elements: I. A stabilized Lagrange multiplier method Comput. Methods Appl. Mech. Engrg. 199 41-44 2010 2680 2686
3. R. Dautray, and J.-L. Lions Mathematical Analysis and Numerical Methods for Science and Technology, vol. 2: Functional and Variational Methods 1988 Springer-Verlag Berlin
4. A. Ern, and J.-L. Guermond Theory and Practice of Finite Elements Applied Mathematical Sciences vol. 159 2004 Springer-Verlag New York, NY
5. A. Hansbo, and P. Hansbo An unfitted finite element method, based on Nitsche's method, for elliptic interface problems Comput. Methods Appl. Mech. Engrg. 191 47-48 2002 5537 5552 (Pubitemid 35431991)
6. P. Hansbo Nitsche's method for interface problems in computational mechanics GAMM-Mitt. 28 2 2005 183 206
7. J. Nitsche Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind Abh. Math. Semin. Univ. Hambg. 36 1971 9 15