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Volumn 86, Issue 4-5, 2011, Pages 549-559

A hierarchical NXFEM for fictitious domain simulations

Author keywords

Extended finite element method; Fictitious domain; Nitsche's method

Indexed keywords

DISCONTINUOUS SOLUTIONS; EXTENDED FINITE ELEMENT METHOD; FICTITIOUS BOUNDARY; FICTITIOUS DOMAIN METHOD; FICTITIOUS DOMAINS; HIERARCHICAL REPRESENTATION; NITSCHE'S METHOD; OPTIMAL CONVERGENCE; STRUCTURED MESH;

EID: 79953088351     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.3093     Document Type: Article
Times cited : (18)

References (10)
  • 5
    • 0037159814 scopus 로고    scopus 로고
    • An unfitted finite element method, based on Nitsche's method, for elliptic interface problems
    • Hansbo A, Hansbo P. An unfitted finite element method, based on Nitsche's method, for elliptic interface problems. Computer Methods in Applied Mechanics and Engineering 2002; 191:5537-5552.
    • (2002) Computer Methods in Applied Mechanics and Engineering , vol.191 , pp. 5537-5552
    • Hansbo, A.1    Hansbo, P.2
  • 6
    • 84951671794 scopus 로고
    • Über ein Variationsprinzip zur Lösung Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind
    • Nitsche J. Über ein Variationsprinzip zur Lösung Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1971; 36:9-15.
    • (1971) Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg , vol.36 , pp. 9-15
    • Nitsche, J.1
  • 7
    • 28444482796 scopus 로고    scopus 로고
    • A comment on the article: a finite element method for simulation of strong and weak discontinuities in solid mechanics
    • Areias PMA, Belytschko T. A comment on the article: a finite element method for simulation of strong and weak discontinuities in solid mechanics. Computer Methods in Applied Mechanics and Engineering 2006; 195:1275-1276.
    • (2006) Computer Methods in Applied Mechanics and Engineering , vol.195 , pp. 1275-1276
    • Areias, P.M.A.1    Belytschko, T.2
  • 8
    • 7544246268 scopus 로고    scopus 로고
    • A fat boundary method for the Poisson problem in a domain with holes
    • Maury B. A fat boundary method for the Poisson problem in a domain with holes. Journal of Scientific Computing 2001; 16:319-339.
    • (2001) Journal of Scientific Computing , vol.16 , pp. 319-339
    • Maury, B.1
  • 10
    • 79953086897 scopus 로고    scopus 로고
    • Fictitious domain finite element methods using cut elements: II. A stabilized Nitsche method. Preprint, Department of Mathematical Sciences, Chalmers University of Technology
    • Burman E, Hansbo P. Fictitious domain finite element methods using cut elements: II. A stabilized Nitsche method. Preprint, Department of Mathematical Sciences, Chalmers University of Technology, 2010.
    • (2010)
    • Burman, E.1    Hansbo, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.