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Volumn 56, Issue 8, 2003, Pages 1109-1124

Natural hierarchical refinement for finite element methods

Author keywords

Adaptive approximation; Finite element; Hierarchical; Mesh refinement; Subdivision element method; Subdivision surface

Indexed keywords

APPROXIMATION THEORY; HIERARCHICAL SYSTEMS; NUMERICAL METHODS;

EID: 0037469548     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.601     Document Type: Article
Times cited : (82)

References (22)
  • 2
    • 0043232504 scopus 로고    scopus 로고
    • A tri-tree multigrid recoarsement algorithm for the finite element formulation of the Navier-Stokes equations
    • Wille SO. A tri-tree multigrid recoarsement algorithm for the finite element formulation of the Navier-Stokes equations. Computer Methods in Applied Mechanics and Engineering 1996; 135(1-2):129-142.
    • (1996) Computer Methods in Applied Mechanics and Engineering , vol.135 , Issue.1-2 , pp. 129-142
    • Wille, S.O.1
  • 4
    • 0030505602 scopus 로고    scopus 로고
    • The 4-triangles longest-side partition of triangles and linear refinement algorithms
    • Rivara MC, Iribarren G. The 4-triangles longest-side partition of triangles and linear refinement algorithms. Mathematics of Computation 1996; 65(216):1485-1502.
    • (1996) Mathematics of Computation , vol.65 , Issue.216 , pp. 1485-1502
    • Rivara, M.C.1    Iribarren, G.2
  • 5
    • 0030527614 scopus 로고    scopus 로고
    • An algorithm for coarsening unstructured meshes
    • Bank RE, Xu JC. An algorithm for coarsening unstructured meshes. Numerische Mathematik 1996; 73(1):1-36.
    • (1996) Numerische Mathematik , vol.73 , Issue.1 , pp. 1-36
    • Bank, R.E.1    Xu, J.C.2
  • 6
    • 0031237671 scopus 로고    scopus 로고
    • New longest-edge algorithms for the refinement and/or improvement of unstructured triangulations
    • Rivara MC. New longest-edge algorithms for the refinement and/or improvement of unstructured triangulations. International Journal for Numerical Methods in Engineering 1997; 40(18):3313-3324.
    • (1997) International Journal for Numerical Methods in Engineering , vol.40 , Issue.18 , pp. 3313-3324
    • Rivara, M.C.1
  • 7
    • 0031078996 scopus 로고    scopus 로고
    • Using longest-side bisection techniques for the automatic refinement of delaunay triangulations
    • Rivara MC, Inostroza P. Using longest-side bisection techniques for the automatic refinement of delaunay triangulations. International Journal for Numerical Methods in Engineering 1997; 40(4):581-597.
    • (1997) International Journal for Numerical Methods in Engineering , vol.40 , Issue.4 , pp. 581-597
    • Rivara, M.C.1    Inostroza, P.2
  • 8
    • 0026849167 scopus 로고
    • A structured tri-tree search method for generation of optimal unstructured finite-element grids in 2 and 3 dimensions
    • Wille SO. A structured tri-tree search method for generation of optimal unstructured finite-element grids in 2 and 3 dimensions. International Journal for Numerical Methods in Fluids 1992; 14(7):861-881.
    • (1992) International Journal for Numerical Methods in Fluids , vol.14 , Issue.7 , pp. 861-881
    • Wille, S.O.1
  • 9
    • 0000311308 scopus 로고
    • Quality local refinement of tetrahedral meshes based on bisection
    • Liu AW, Joe B. Quality local refinement of tetrahedral meshes based on bisection. SIAM Journal on Scientific Computing 1995; 16(6):1269-1291.
    • (1995) SIAM Journal on Scientific Computing , vol.16 , Issue.6 , pp. 1269-1291
    • Liu, A.W.1    Joe, B.2
  • 10
    • 0030366994 scopus 로고    scopus 로고
    • Quality local refinement of tetrahedral meshes based on 8-subtetrahedron subdivision
    • Liu AW, Joe B. Quality local refinement of tetrahedral meshes based on 8-subtetrahedron subdivision. Mathematics of Computation 1996; 65(215):1183-1200.
    • (1996) Mathematics of Computation , vol.65 , Issue.215 , pp. 1183-1200
    • Liu, A.W.1    Joe, B.2
  • 11
    • 0034174205 scopus 로고    scopus 로고
    • A 3D refinement/derefinement algorithm for solving evolution problems
    • Plaza A, Padron MA, Carey GF. A 3D refinement/derefinement algorithm for solving evolution problems. Applied Numerical Mathematics 2000; 32(4):401-418.
    • (2000) Applied Numerical Mathematics , vol.32 , Issue.4 , pp. 401-418
    • Plaza, A.1    Padron, M.A.2    Carey, G.F.3
  • 12
    • 0033907129 scopus 로고    scopus 로고
    • Local refinement of simplicial grids based on the skeleton
    • Plaza A, Carey GF. Local refinement of simplicial grids based on the skeleton. Applied Numerical Mathematics 2000; 32(2):195-218.
    • (2000) Applied Numerical Mathematics , vol.32 , Issue.2 , pp. 195-218
    • Plaza, A.1    Carey, G.F.2
  • 16
    • 0024921922 scopus 로고
    • Wavelets and dilation equations: A brief introduction
    • Strang G. Wavelets and dilation equations: A brief introduction. SIAM Review 1989; 31(4):614-627.
    • (1989) SIAM Review , vol.31 , Issue.4 , pp. 614-627
    • Strang, G.1
  • 17
    • 0141936336 scopus 로고
    • Hierarchical bases
    • O'Malley RE (ed.) SIAM: Philadelphia. PA
    • Yserentant H. Hierarchical bases. In ICIAM91. O'Malley RE (ed.) SIAM: Philadelphia. PA, 1991.
    • (1991) ICIAM91
    • Yserentant, H.1
  • 21
    • 0000407241 scopus 로고
    • Uniform refinement of a tetrahedron
    • Ong MEG
    • Ong MEG. Uniform refinement of a tetrahedron. SIAM Journal on Scientific Computing 1994; 15(5): 1134-1144.
    • (1994) SIAM Journal on Scientific Computing , vol.15 , Issue.5 , pp. 1134-1144


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.