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Volumn 63, Issue 6, 2005, Pages 813-832

A new dual mortar method for curved interfaces: 2D elasticity

Author keywords

Curved interface; Domain decomposition; Linear elasticity; Mortar method

Indexed keywords

ELASTICITY; FINITE ELEMENT METHOD; INTERFACES (MATERIALS); LINEAR SYSTEMS; MATHEMATICAL MODELS; PROBLEM SOLVING; STABILITY; SURFACES; TWO DIMENSIONAL;

EID: 20444461146     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.1300     Document Type: Article
Times cited : (81)

References (23)
  • 2
    • 0031250556 scopus 로고    scopus 로고
    • A non-mortar mixed finite element for elliptic problems on non-matching multiblock grids
    • Arbogast T, Yotov I. A non-mortar mixed finite element for elliptic problems on non-matching multiblock grids. Computer Methods in Applied Mechanics and Engineering 1997; 149:255-265.
    • (1997) Computer Methods in Applied Mechanics and Engineering , vol.149 , pp. 255-265
    • Arbogast, T.1    Yotov, I.2
  • 3
    • 0002336587 scopus 로고
    • A new nonconforming approach to domain decomposition: The mortar element method
    • Brezia H, Lions JL (eds). Pitman and Wiley: New York
    • Bernardi C, Maday Y, Patera AT. A new nonconforming approach to domain decomposition: the mortar element method. In Nonlinear Partial Differential Equations and Their Applications, Brezia H, Lions JL (eds). Pitman and Wiley: New York, 1992; 13-51.
    • (1992) Nonlinear Partial Differential Equations and Their Applications , pp. 13-51
    • Bernardi, C.1    Maday, Y.2    Patera, A.T.3
  • 4
    • 0032473313 scopus 로고    scopus 로고
    • A two-step, two-field hybrid method for the static and dynamic analysis of substructure problems with conforming and non-conforming interfaces
    • Rixen D, Farhat C, Geradin M. A two-step, two-field hybrid method for the static and dynamic analysis of substructure problems with conforming and non-conforming interfaces. Computer Methods in Applied Mechanics and Engineering 1998; 154:229-264.
    • (1998) Computer Methods in Applied Mechanics and Engineering , vol.154 , pp. 229-264
    • Rixen, D.1    Farhat, C.2    Geradin, M.3
  • 6
    • 0034437154 scopus 로고    scopus 로고
    • A mortar finite element method using dual spaces for the Lagrange multiplier
    • Wohlmuth BI. A mortar finite element method using dual spaces for the Lagrange multiplier. SIAM Journal on Numerical Analysis 2000; 38:989-1012.
    • (2000) SIAM Journal on Numerical Analysis , vol.38 , pp. 989-1012
    • Wohlmuth, B.I.1
  • 8
    • 0041313837 scopus 로고    scopus 로고
    • Consistent mesh tying methods for topologically distinct discretized surfaces in nonlinear solid mechanics
    • Laursen TA, Heinstein MW. Consistent mesh tying methods for topologically distinct discretized surfaces in nonlinear solid mechanics. International Journal for Numerical Methods in Engineering 2003; 57:1197-1242.
    • (2003) International Journal for Numerical Methods in Engineering , vol.57 , pp. 1197-1242
    • Laursen, T.A.1    Heinstein, M.W.2
  • 11
    • 0033895887 scopus 로고    scopus 로고
    • Numerical implementation of two nonconforming finite element methods for unilateral contact
    • Hild P. Numerical implementation of two nonconforming finite element methods for unilateral contact. Computer Methods in Applied Mechanics and Engineering 2000; 184:99-123.
    • (2000) Computer Methods in Applied Mechanics and Engineering , vol.184 , pp. 99-123
    • Hild, P.1
  • 20
    • 0036880243 scopus 로고    scopus 로고
    • A comparison of dual Lagrange multiplier spaces for mortar finite element discretizations
    • Wohlmuth BI. A comparison of dual Lagrange multiplier spaces for mortar finite element discretizations. Rairo-mathematical Modelling and Numerical Analysis (M2AN) 2002; 36:995-1012.
    • (2002) Rairo-mathematical Modelling and Numerical Analysis (M2AN) , vol.36 , pp. 995-1012
    • Wohlmuth, B.I.1
  • 21
    • 3042770985 scopus 로고    scopus 로고
    • Mortar methods with curved interfaces
    • Technical Report, preprint 2/2004, MPI for mathematics in the sciences, Leipzig
    • Flemisch B, Melenk JM, Wohlmuth BI. Mortar methods with curved interfaces. Technical Report, preprint 2/2004, MPI for mathematics in the sciences, Leipzig, 2004.
    • (2004)
    • Flemisch, B.1    Melenk, J.M.2    Wohlmuth, B.I.3
  • 23
    • 0000686693 scopus 로고
    • Transfinite element methods: Blending function interpolation over arbitrary curved element domains
    • Gordon WJ, Hall ChA. Transfinite element methods: Blending function interpolation over arbitrary curved element domains. Numerische Mathematik 1973; 21:109-129.
    • (1973) Numerische Mathematik , vol.21 , pp. 109-129
    • Gordon, W.J.1    Hall, Ch.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.