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Volumn 4, Issue 3-4, 2007, Pages 342-352

A least-squares method for consistent mesh tying

Author keywords

Finite elements; First order elliptic systems; Least squares; Mesh tying

Indexed keywords


EID: 44449093330     PISSN: 17055105     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (10)

References (14)
  • 1
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    • Least-squares methods for elliptic systems
    • A. Aziz, R. Kellogg, and A. Stephens. Least-squares methods for elliptic systems. Math. Comp., 44(169):53-70, 1985.
    • (1985) Math. Comp , vol.44 , Issue.169 , pp. 53-70
    • Aziz, A.1    Kellogg, R.2    Stephens, A.3
  • 2
    • 50049131350 scopus 로고    scopus 로고
    • Analysis of a least-squares mesh tying method
    • In preparation
    • P. Bochev and D. Day. Analysis of a least-squares mesh tying method. In preparation, 2006.
    • (2006)
    • Bochev, P.1    Day, D.2
  • 3
    • 0032294378 scopus 로고    scopus 로고
    • Finite element methods of least-squares type
    • P. Bochev and M. Gunzburger. Finite element methods of least-squares type. SIAM Review, 40/4:789-837, 1998.
    • (1998) SIAM Review , vol.40 , Issue.4 , pp. 789-837
    • Bochev, P.1    Gunzburger, M.2
  • 4
    • 33644512080 scopus 로고    scopus 로고
    • On least-squares finite element methods for the Poisson equation and their connection to the Dirichlet and Kelvin principles
    • P. Bochev and M. Gunzburger. On least-squares finite element methods for the Poisson equation and their connection to the Dirichlet and Kelvin principles. SIAM J. Numer. Anal., 43:340-362, 2005.
    • (2005) SIAM J. Numer. Anal , vol.43 , pp. 340-362
    • Bochev, P.1    Gunzburger, M.2
  • 5
    • 0010648166 scopus 로고    scopus 로고
    • Least-squares finite element approximations to solutions of interface problems
    • Y. Cao and M. Gunzburger. Least-squares finite element approximations to solutions of interface problems. SIAM J. Numer. Anal., 35(1):393-405, 1998.
    • (1998) SIAM J. Numer. Anal , vol.35 , Issue.1 , pp. 393-405
    • Cao, Y.1    Gunzburger, M.2
  • 6
    • 0034204521 scopus 로고    scopus 로고
    • A method for connecting dissimilar finite element meshes in two dimensions
    • C. R. Dohrmann, S. W. Key, and M. W. Heinstein. A method for connecting dissimilar finite element meshes in two dimensions. Int. J. Numer. Meth. Engng., 48:655-678, 2000.
    • (2000) Int. J. Numer. Meth. Engng , vol.48 , pp. 655-678
    • Dohrmann, C.R.1    Key, S.W.2    Heinstein, M.W.3
  • 7
    • 0034135431 scopus 로고    scopus 로고
    • Methods for connecting dissimilar three-dimensional finite element meshes
    • C. R. Dohrmann, S. W. Key, and M. W. Heinstein. Methods for connecting dissimilar three-dimensional finite element meshes. Int. J. Numer. Meth. Engng., 47:1057-1080, 2000.
    • (2000) Int. J. Numer. Meth. Engng , vol.47 , pp. 1057-1080
    • Dohrmann, C.R.1    Key, S.W.2    Heinstein, M.W.3
  • 8
  • 9
    • 20444461146 scopus 로고    scopus 로고
    • A new dual mortar method for curved interfaces: 2D elasticity
    • B. Flemisch, M.A. Puso, and B.I. Wohlmuth. A new dual mortar method for curved interfaces: 2D elasticity. Internat. J. Numer. Methods Engrg., 63(6):813-832, 2005.
    • (2005) Internat. J. Numer. Methods Engrg , vol.63 , Issue.6 , pp. 813-832
    • Flemisch, B.1    Puso, M.A.2    Wohlmuth, B.I.3
  • 10
    • 33751228594 scopus 로고    scopus 로고
    • Stable Lagrange multipliers for quadrilateral meshes of curved interfaces in 3D, IANS preprint 2005/005
    • Technical report, University of Stuttgart
    • B. Flemisch and B.I. Wohlmuth. Stable Lagrange multipliers for quadrilateral meshes of curved interfaces in 3D, IANS preprint 2005/005. Technical report, University of Stuttgart, 2005.
    • (2005)
    • Flemisch, B.1    Wohlmuth, B.I.2
  • 11
    • 0037860824 scopus 로고    scopus 로고
    • A three dimensional surface-to-surface projection algorithm for non-coincident domains
    • M. W. Heinstein and T. A. Laursen. A three dimensional surface-to-surface projection algorithm for non-coincident domains. Commun. Numer. Meth. Engng., 19:421-432, 2003.
    • (2003) Commun. Numer. Meth. Engng , vol.19 , pp. 421-432
    • Heinstein, M.W.1    Laursen, T.A.2
  • 12
    • 0041313837 scopus 로고    scopus 로고
    • Consistent mesh tying methods for topologically distinct discretized surfaces in non-linear solid mechanics
    • T. A. Laursen and M. W. Heinstein. Consistent mesh tying methods for topologically distinct discretized surfaces in non-linear solid mechanics. Int. J. Numer. Meth. Engng., 57:1197-1242, 2003.
    • (2003) Int. J. Numer. Meth. Engng , vol.57 , pp. 1197-1242
    • Laursen, T.A.1    Heinstein, M.W.2
  • 13
    • 31244438495 scopus 로고    scopus 로고
    • Delaunay refinement algorithms for triangular mesh generation
    • J. R. Shewchuk. Delaunay refinement algorithms for triangular mesh generation. Comp. Geom. Theory and Apps., 22:21-74, 2002.
    • (2002) Comp. Geom. Theory and Apps , vol.22 , pp. 21-74
    • Shewchuk, J.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.