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Volumn 28, Issue 4, 2006, Pages 1379-1397

3-D mesh adaptation on multiple weak discontinuities and boundary layers

Author keywords

Mesh adaptation; Metric; Shock filter

Indexed keywords

ANISOTROPY; COMPUTATIONAL EFFICIENCY; LAMINAR FLOW; MATHEMATICAL MODELS; THREE DIMENSIONAL; WAKES;

EID: 34547192610     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1064827503429879     Document Type: Article
Times cited : (7)

References (25)
  • 1
    • 0031102111 scopus 로고    scopus 로고
    • A posteriori error estimation in finite element analysis
    • M. AINSWORTH AND J. T. ODEN, A posteriori error estimation in finite element analysis, Comput. Methods Appl. Mech. Engrg., 142 (1997), pp. 1-88.
    • (1997) Comput. Methods Appl. Mech. Engrg , vol.142 , pp. 1-88
    • AINSWORTH, M.1    ODEN, J.T.2
  • 2
    • 0021441740 scopus 로고
    • The post-processing approach in the finite element method - Part 1: Calculation of displacements, stresses and other higher order derivatives of the displacements
    • I. BABUŠKA AND A. MILLER, The post-processing approach in the finite element method - Part 1: Calculation of displacements, stresses and other higher order derivatives of the displacements, Internat. J. Numer. Methods Engrg., 20 (1984), pp. 1085-1109.
    • (1984) Internat. J. Numer. Methods Engrg , vol.20 , pp. 1085-1109
    • BABUŠKA, I.1    MILLER, A.2
  • 3
    • 0031126935 scopus 로고    scopus 로고
    • Mesh adaptation strategies for problems in fluid dynamics
    • T. J. BAKER, Mesh adaptation strategies for problems in fluid dynamics, Finite Elem. Anal. Des., 25 (1997), pp. 243-273.
    • (1997) Finite Elem. Anal. Des , vol.25 , pp. 243-273
    • BAKER, T.J.1
  • 4
    • 0000616562 scopus 로고    scopus 로고
    • Weighted a posteriori error control in finite element methods
    • World Scientific, Singapore
    • R. BECKER AND R. RANNACHER, Weighted a posteriori error control in finite element methods, in Proceedings of ENUMATH-97, World Scientific, Singapore, 1998, pp. 621-637.
    • (1998) Proceedings of ENUMATH-97 , pp. 621-637
    • BECKER, R.1    RANNACHER, R.2
  • 7
    • 85160612169 scopus 로고    scopus 로고
    • W. G. HABASHI, J. DOMPIERRE, Y. BOURGAULT, D. AIT-ALI-YAHIA, M. FORTIN, AND M. G. VALLET, Anisotropic mesh adaptation: Towards user-independent, mesh-independent and solver-independent CFD solutions: Part I: General principles, Internat. J. Numer. Methods Fluids, 32 (2000), pp. 725-744.
    • W. G. HABASHI, J. DOMPIERRE, Y. BOURGAULT, D. AIT-ALI-YAHIA, M. FORTIN, AND M. G. VALLET, Anisotropic mesh adaptation: Towards user-independent, mesh-independent and solver-independent CFD solutions: Part I: General principles, Internat. J. Numer. Methods Fluids, 32 (2000), pp. 725-744.
  • 8
    • 85160618247 scopus 로고    scopus 로고
    • D. AIT-ALI-YAHIA, G. BARUZZI, W. G. HABASHI, M. FORTIN, J. DOMPIERRE, AND M. G. VALLET, Anisotropic mesh adaptation: Towards user-independent, mesh-independent and solver-independent CFD solutions: Part II: Structured grids, Internat. J. Numer. Methods Fluids, 39 (2002), pp. 657-674.
    • D. AIT-ALI-YAHIA, G. BARUZZI, W. G. HABASHI, M. FORTIN, J. DOMPIERRE, AND M. G. VALLET, Anisotropic mesh adaptation: Towards user-independent, mesh-independent and solver-independent CFD solutions: Part II: Structured grids, Internat. J. Numer. Methods Fluids, 39 (2002), pp. 657-674.
  • 9
    • 85160597197 scopus 로고    scopus 로고
    • C. J. DOMPIERRE, M. G. VALLET, Y. BOURGAULT, M. FORTIN, AND W. G. HABASHI, Anisotropic mesh adaptation: Towards user-independent, mesh-independent and solver-independent CFD solutions: Part III: Unstructured meshes, Internat. J. Numer. Methods Fluids, 39 (2002), pp. 675-702.
    • C. J. DOMPIERRE, M. G. VALLET, Y. BOURGAULT, M. FORTIN, AND W. G. HABASHI, Anisotropic mesh adaptation: Towards user-independent, mesh-independent and solver-independent CFD solutions: Part III: Unstructured meshes, Internat. J. Numer. Methods Fluids, 39 (2002), pp. 675-702.
  • 11
    • 0000238006 scopus 로고    scopus 로고
    • Adjoint error estimation and grid adaptation for functional outputs: Application to quasi-one-dimensional flow
    • D. A. VENDITTI AND D. L. DARMOFAL, Adjoint error estimation and grid adaptation for functional outputs: Application to quasi-one-dimensional flow, J. Comput. Phys., 164 (2000), pp. 204-227.
    • (2000) J. Comput. Phys , vol.164 , pp. 204-227
    • VENDITTI, D.A.1    DARMOFAL, D.L.2
  • 13
    • 0023288565 scopus 로고
    • A simple error estimation and adaptive procedure for practical engineering analysis
    • O. C. ZIENKIEWICZ AND J. Z. ZHU, A simple error estimation and adaptive procedure for practical engineering analysis, Internat. J. Numer. Methods Engrg., 24 (1987), pp. 337-357.
    • (1987) Internat. J. Numer. Methods Engrg , vol.24 , pp. 337-357
    • ZIENKIEWICZ, O.C.1    ZHU, J.Z.2
  • 14
    • 0000019519 scopus 로고
    • Adaptive remeshing for three-dimensional compressible flow computation
    • J. PERAIRE, J. PERIÓ, AND K. MORGAN, Adaptive remeshing for three-dimensional compressible flow computation, J. Comput. Phys., 103 (1992), pp. 269-285.
    • (1992) J. Comput. Phys , vol.103 , pp. 269-285
    • PERAIRE, J.1    PERIÓ, J.2    MORGAN, K.3
  • 15
    • 0033617639 scopus 로고    scopus 로고
    • Mesh adaption and automatic differentiation in a CAD-free framework for optimal shape design
    • B. MOHAMMADI AND O. PIRONNEAU, Mesh adaption and automatic differentiation in a CAD-free framework for optimal shape design, Internat. J. Numer. Methods Fluids, 30 (1999), pp. 127-146.
    • (1999) Internat. J. Numer. Methods Fluids , vol.30 , pp. 127-146
    • MOHAMMADI, B.1    PIRONNEAU, O.2
  • 17
    • 0031099169 scopus 로고    scopus 로고
    • Delaunay mesh generation governed by metric specications. Part 2: Application examples
    • H. BOROUCHAKI, P. L. GEORGE, AND B. MOHAMMADI, Delaunay mesh generation governed by metric specications. Part 2: Application examples, Finite Elem. Anal. Des., 25 (1997), pp. 85-109.
    • (1997) Finite Elem. Anal. Des , vol.25 , pp. 85-109
    • BOROUCHAKI, H.1    GEORGE, P.L.2    MOHAMMADI, B.3
  • 18
    • 0003591995 scopus 로고    scopus 로고
    • A Posteriori Error Estimation for Discontinuous Galerkin Approximations of Hyperbolic Systems
    • NAS-99-010, 1999
    • M. G. LARSON AND T. J. BARTH, A Posteriori Error Estimation for Discontinuous Galerkin Approximations of Hyperbolic Systems, NAS Technical Report NAS-99-010, 1999.
    • NAS Technical Report
    • LARSON, M.G.1    BARTH, T.J.2
  • 19
    • 0034206154 scopus 로고    scopus 로고
    • Adjoint recovery of superconvergent functionals from PDE approximations
    • N. A. PIERCE AND M. B. GILES, Adjoint recovery of superconvergent functionals from PDE approximations, SIAM Rev., 42 (2000), pp. 247-264.
    • (2000) SIAM Rev , vol.42 , pp. 247-264
    • PIERCE, N.A.1    GILES, M.B.2
  • 20
    • 85160652165 scopus 로고    scopus 로고
    • E. F. D'AZEVEDO AND R. B. SIMPSON, On optimal triangular meshes for minimizing the gradient error, Numer. Math., 59 (1991), pp. 321-348.
    • E. F. D'AZEVEDO AND R. B. SIMPSON, On optimal triangular meshes for minimizing the gradient error, Numer. Math., 59 (1991), pp. 321-348.
  • 21
    • 34547142884 scopus 로고    scopus 로고
    • Anisotropic mesh adaptation through hierarchical error estimators
    • Nova Science Publishers, Commack, NY
    • M. FORTIN, Anisotropic mesh adaptation through hierarchical error estimators, in Advances in Computation: Theory and Practice, Nova Science Publishers, Commack, NY, 2001, pp. 53-65.
    • (2001) Advances in Computation: Theory and Practice , pp. 53-65
    • FORTIN, M.1
  • 22
  • 23
    • 0037343425 scopus 로고    scopus 로고
    • Numerical scheme of shock filter models for image enhancement and restoration
    • L. REMAKI AND M. CHERIET, Numerical scheme of shock filter models for image enhancement and restoration, J. Math. Imaging Vision, 18 (2003), pp. 129-143.
    • (2003) J. Math. Imaging Vision , vol.18 , pp. 129-143
    • REMAKI, L.1    CHERIET, M.2
  • 24
    • 0037996660 scopus 로고    scopus 로고
    • Enhanced and restored signals as a generalized solution for shock filter models: Part I: Existence and uniqueness result of the Cauchy problem
    • L. REMAKI AND M. CHERIET, Enhanced and restored signals as a generalized solution for shock filter models: Part I: Existence and uniqueness result of the Cauchy problem, J. Math. Anal. Appl., 279 (2003), pp. 189-209.
    • (2003) J. Math. Anal. Appl , vol.279 , pp. 189-209
    • REMAKI, L.1    CHERIET, M.2
  • 25
    • 0037507641 scopus 로고    scopus 로고
    • Enhanced and restored signals as a generalized solution for shock filter models: Part II: Numerical study
    • L. REMAKI AND M. CHERIET, Enhanced and restored signals as a generalized solution for shock filter models: Part II: Numerical study, J. Math. Anal. Appl., 279 (2003), pp. 398-417.
    • (2003) J. Math. Anal. Appl , vol.279 , pp. 398-417
    • REMAKI, L.1    CHERIET, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.