메뉴 건너뛰기




Volumn 85, Issue 6, 2011, Pages 723-751

Thin shell analysis from scattered points with maximum-entropy approximants

Author keywords

Maximum entropy approximants; Meshfree methods; Point set surfaces; Thin shells

Indexed keywords

APPROXIMANTS; AUTOMATIC DETECTION; COMPLEX TOPOLOGY; FOURTH ORDER PARTIAL DIFFERENTIAL EQUATIONS; GEOMETRIC STRUCTURE; GLOBAL PARAMETERIZATION; HIGH-DIMENSIONAL; KIRCHHOFF; MAXIMUM-ENTROPY; MESH-BASED METHODS; MESH-FREE METHOD; MESHFREE; PARAMETERIZATIONS; PARAMETRIC DOMAINS; PARTITION OF UNITY; POINT-SET SURFACES; SCATTERED POINTS; SMOOTH MANIFOLDS; STATISTICAL LEARNING METHODS; THIN SHELLS;

EID: 78751502448     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.2992     Document Type: Article
Times cited : (61)

References (46)
  • 1
    • 0035175291 scopus 로고    scopus 로고
    • VIS '01: Proceedings of the Conference on Visualization '01
    • IEEE Computer Society: Washington, DC, U.S.A.,
    • Alexa M, Behr J, Cohen-Or D, Fleishman S, Levin D, Silva C. Point set surfaces. VIS '01: Proceedings of the Conference on Visualization '01. IEEE Computer Society: Washington, DC, U.S.A., 2001; 21-28.
    • (2001) Point set surfaces , pp. 21-28
    • Alexa, M.1    Behr, J.2    Cohen-Or, D.3    Fleishman, S.4    Levin, D.5    Silva, C.6
  • 2
    • 78751540233 scopus 로고    scopus 로고
    • Point primitives for interactive modeling and processing of 3d geometry. Ph.D. Thesis, Federal Institute of Technology (ETH) of Zurich,
    • Pauly M. Point primitives for interactive modeling and processing of 3d geometry. Ph.D. Thesis, Federal Institute of Technology (ETH) of Zurich, 2003.
    • (2003)
    • Pauly, M.1
  • 3
    • 7544229977 scopus 로고    scopus 로고
    • Geometric Modeling for Scientific Visualization
    • Brunnett H, Mueller (eds). Springer: Berlin,
    • Levin D. Mesh-independent surface interpolation. In Geometric Modeling for Scientific Visualization, Brunnett H, Mueller (eds). Springer: Berlin, 2003; 37-49.
    • (2003) Mesh-independent surface interpolation , pp. 37-49
    • Levin, D.1
  • 4
    • 78751514342 scopus 로고
    • The use of points as displays primitives. Technical Report TR-85-022, Computer Science Department, University of North Carolina at Chappel Hill,
    • Levoy M, Whitted T. The use of points as displays primitives. Technical Report TR-85-022, Computer Science Department, University of North Carolina at Chappel Hill, 1985.
    • (1985)
    • Levoy, M.1    Whitted, T.2
  • 5
    • 0026888013 scopus 로고
    • SIGGRAPH '92: Proceedings of the 19th Annual Conference on Computer Graphics and Interactive Techniques
    • ACM: New York, NY, U.S.A.,
    • Hoppe H, DeRose T, Duchamp T, McDonald J, Stuetzle W. Surface reconstruction from unorganized points. SIGGRAPH '92: Proceedings of the 19th Annual Conference on Computer Graphics and Interactive Techniques. ACM: New York, NY, U.S.A., 1992; 71-78.
    • (1992) Surface reconstruction from unorganized points , pp. 71-78
    • Hoppe, H.1    DeRose, T.2    Duchamp, T.3    McDonald, J.4    Stuetzle, W.5
  • 7
    • 0032381035 scopus 로고    scopus 로고
    • The approximation power of moving least-squares
    • Levin D. The approximation power of moving least-squares. Mathematics of Computation 1998; 67(224):1517-1531.
    • (1998) Mathematics of Computation , vol.67 , Issue.224 , pp. 1517-1531
    • Levin, D.1
  • 13
    • 33749439599 scopus 로고    scopus 로고
    • A constrained reproducing kernel particle formulation for shear deformable shell in Cartesian coordinates
    • Chen J, Wang D. A constrained reproducing kernel particle formulation for shear deformable shell in Cartesian coordinates. International Journal for Numerical Methods in Engineering 2006; 68:151-172.
    • (2006) International Journal for Numerical Methods in Engineering , vol.68 , pp. 151-172
    • Chen, J.1    Wang, D.2
  • 15
    • 0022047205 scopus 로고
    • A proposed standard set of problems to test finite element accuracy
    • MacNeal R, Harder R. A proposed standard set of problems to test finite element accuracy. Finite Element in Analysis and Design 1985; 1(1):3-20.
    • (1985) Finite Element in Analysis and Design , vol.1 , Issue.1 , pp. 3-20
    • MacNeal, R.1    Harder, R.2
  • 17
    • 0024619943 scopus 로고
    • On a stress resultant geometrically exact shell model. Part I: formulation and optimal parametrization
    • Simo J, Fox D. On a stress resultant geometrically exact shell model. Part I: formulation and optimal parametrization. Computer Methods in Applied Mechanics and Engineering 1989; 72:267-304.
    • (1989) Computer Methods in Applied Mechanics and Engineering , vol.72 , pp. 267-304
    • Simo, J.1    Fox, D.2
  • 19
    • 0024641220 scopus 로고
    • On a stress resultant geometrically exact shell model. Part II: the linear theory; computational aspects
    • Simo J, Fox D, Rifai M. On a stress resultant geometrically exact shell model. Part II: the linear theory; computational aspects. Computer Methods in Applied Mechanics and Engineering 1989; 73:53-92.
    • (1989) Computer Methods in Applied Mechanics and Engineering , vol.73 , pp. 53-92
    • Simo, J.1    Fox, D.2    Rifai, M.3
  • 22
    • 0037025251 scopus 로고    scopus 로고
    • Continuous/discontinuous finite element approximations of fourth-order elliptic problems in structural and continuum mechanics with applications to thin beams and plates, and strain gradient elasticity
    • Engel G, Garikipati K, Hughes T, Larson M, Mazzei L, Taylor R. Continuous/discontinuous finite element approximations of fourth-order elliptic problems in structural and continuum mechanics with applications to thin beams and plates, and strain gradient elasticity. Computer Methods in Applied Mechanics and Engineering 2002; 191:3669-3750.
    • (2002) Computer Methods in Applied Mechanics and Engineering , vol.191 , pp. 3669-3750
    • Engel, G.1    Garikipati, K.2    Hughes, T.3    Larson, M.4    Mazzei, L.5    Taylor, R.6
  • 25
    • 33645287543 scopus 로고    scopus 로고
    • Local maximum-entropy approximation schemes: a seamless bridge between finite elements and meshfree methods
    • Arroyo M, Ortiz M. Local maximum-entropy approximation schemes: a seamless bridge between finite elements and meshfree methods. International Journal for Numerical Methods in Engineering 2006; 65:2167-2202.
    • (2006) International Journal for Numerical Methods in Engineering , vol.65 , pp. 2167-2202
    • Arroyo, M.1    Ortiz, M.2
  • 29
    • 14544307975 scopus 로고    scopus 로고
    • Principal manifolds and nonlinear dimensionality reduction via tangent space alignment
    • Zhang Z, Zha H. Principal manifolds and nonlinear dimensionality reduction via tangent space alignment. SIAM Journal on Scientific Computing 2005; 26(1):313-338.
    • (2005) SIAM Journal on Scientific Computing , vol.26 , Issue.1 , pp. 313-338
    • Zhang, Z.1    Zha, H.2
  • 30
    • 0141865706 scopus 로고    scopus 로고
    • Structure-preserving model reduction for mechanical systems
    • Lall S, Krysl P, Marsden J. Structure-preserving model reduction for mechanical systems. Physica D 2003; 184:304-318.
    • (2003) Physica D , vol.184 , pp. 304-318
    • Lall, S.1    Krysl, P.2    Marsden, J.3
  • 32
    • 0003533718 scopus 로고
    • Differential Geometry of Curves and Surfaces
    • Prentice-Hall: Englewood Cliffs, NJ,
    • do Carmo MP. Differential Geometry of Curves and Surfaces. Prentice-Hall: Englewood Cliffs, NJ, 1976.
    • (1976)
    • do Carmo, M.P.1
  • 33
    • 10244262728 scopus 로고    scopus 로고
    • Construction of polygonal interpolants: a maximum entropy approach
    • Sukumar N. Construction of polygonal interpolants: a maximum entropy approach. International Journal for Numerical Methods in Engineering 2004; 61(12):2159-2181.
    • (2004) International Journal for Numerical Methods in Engineering , vol.61 , Issue.12 , pp. 2159-2181
    • Sukumar, N.1
  • 36
    • 77951279810 scopus 로고    scopus 로고
    • On the optimum support size in meshfree methods: a variational adaptivity approach with maximum entropy approximants
    • DOI: 10.1002/nme.2793.
    • Rosolen A, Millán D, Arroyo M. On the optimum support size in meshfree methods: a variational adaptivity approach with maximum entropy approximants. International Journal for Numerical Methods in Engineering 2009; DOI: 10.1002/nme.2793.
    • (2009) International Journal for Numerical Methods in Engineering
    • Rosolen, A.1    Millán, D.2    Arroyo, M.3
  • 38
    • 78751474419 scopus 로고    scopus 로고
    • An information theory approach to supervised learning. Ph.D. Thesis, Stanford,
    • Gupta MR. An information theory approach to supervised learning. Ph.D. Thesis, Stanford, 2003.
    • (2003)
    • Gupta, M.R.1
  • 39
    • 0003769405 scopus 로고
    • Approximate Calculation of Multiple Integrals
    • Prentice-Hall: Englewood Cliffs, NJ,
    • Stroud AH. Approximate Calculation of Multiple Integrals. Prentice-Hall: Englewood Cliffs, NJ, 1971.
    • (1971)
    • Stroud, A.H.1
  • 40
    • 0003600296 scopus 로고    scopus 로고
    • Mathematical Elasticity, Volume III: Theory of Shells
    • North-Holland: Amsterdam,
    • Ciarlet PG. Mathematical Elasticity, Volume III: Theory of Shells. North-Holland: Amsterdam, 2000.
    • (2000)
    • Ciarlet, P.G.1
  • 41
    • 42049100083 scopus 로고    scopus 로고
    • A hermite reproducing kernel approximation for thin plate analysis with sub-domain stabilized conforming integration
    • Wang D, Chen J. A hermite reproducing kernel approximation for thin plate analysis with sub-domain stabilized conforming integration. International Journal for Numerical Methods in Engineering 2008; 74:368-390.
    • (2008) International Journal for Numerical Methods in Engineering , vol.74 , pp. 368-390
    • Wang, D.1    Chen, J.2
  • 42
    • 4644334095 scopus 로고    scopus 로고
    • Second-order accurate constraint formulation for subdivision finite element simulation of thin shells
    • Green S, Turkiyyah G. Second-order accurate constraint formulation for subdivision finite element simulation of thin shells. International Journal for Numerical Methods in Engineering 2004; 61(3):380-405.
    • (2004) International Journal for Numerical Methods in Engineering , vol.61 , Issue.3 , pp. 380-405
    • Green, S.1    Turkiyyah, G.2
  • 43
    • 28844486787 scopus 로고    scopus 로고
    • Sparse surface reconstruction with adaptive partition of unity and radial basis functions
    • Ohtake Y, Belyaev A, Seidel HP. Sparse surface reconstruction with adaptive partition of unity and radial basis functions. Graphical Models 2006; 68(1):15-24.
    • (2006) Graphical Models , vol.68 , Issue.1 , pp. 15-24
    • Ohtake, Y.1    Belyaev, A.2    Seidel, H.P.3
  • 44
    • 0003491390 scopus 로고
    • Theory of Plates and Shells
    • McGraw-Hill: New York,
    • Timoshenko S, Woinowsky-Kreiger S. Theory of Plates and Shells. McGraw-Hill: New York, 1959.
    • (1959)
    • Timoshenko, S.1    Woinowsky-Kreiger, S.2
  • 45
    • 0014611784 scopus 로고
    • New developments in the finite element analysis of shells. Quarterly Bulletin, Division of Mechanical Engineering, National Aeronautical Establishment
    • Lindberg G, Olson M, Cowper G. New developments in the finite element analysis of shells. Quarterly Bulletin, Division of Mechanical Engineering, National Aeronautical Establishment, vol. 4, 1969; 1-38.
    • (1969) , vol.4 , pp. 1-38
    • Lindberg, G.1    Olson, M.2    Cowper, G.3
  • 46
    • 0034818017 scopus 로고    scopus 로고
    • The power crust. Proceedings of the Sixth ACM Symposium on Solid Modeling and Applications 2001
    • Amenta N, Choi S, Kolluri R. The power crust. Proceedings of the Sixth ACM Symposium on Solid Modeling and Applications 2001; 249-260.
    • Amenta, N.1    Choi, S.2    Kolluri, R.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.