메뉴 건너뛰기




Volumn 11, Issue , 2008, Pages 227-236

Some applications of discontinuous galerkin methods in solid mechanics

Author keywords

Discontinuous galerkin; Immersed boundary methods; Locking; Nonlinear elasticity

Indexed keywords

LOCKS (FASTENERS); TURBULENT FLOW;

EID: 84862288035     PISSN: 18753507     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-1-4020-9090-5_21     Document Type: Conference Paper
Times cited : (9)

References (20)
  • 1
    • 0036410391 scopus 로고    scopus 로고
    • Unified analysis of discontinuous Galerkin methods for elliptic problems
    • D. N. Arnold, F. Brezzi, B. Cockburn, and L. D. Marini. Unified analysis of discontinuous Galerkin methods for elliptic problems. SIAM J. Numer. Anal., 39:1749-1779, 2002.
    • (2002) SIAM J. Numer. Anal. , vol.39 , pp. 1749-1779
    • Arnold, D.N.1    Brezzi, F.2    Cockburn, B.3    Marini, L.D.4
  • 2
    • 17444422862 scopus 로고    scopus 로고
    • A family of discontinuous galerkin finite elements for the reissner-mindlin plate
    • D.N. Arnold, F. Brezzi, and L.D. Marini. A family of discontinuous Galerkin Finite Elements for the Reissner-Mindlin plate. Journal of Scientific Computing, 22(1):25-45, 2005.
    • (2005) Journal of Scientific Computing , vol.22 , Issue.1 , pp. 25-45
    • Arnold, D.N.1    Brezzi, F.2    Marini, L.D.3
  • 3
    • 84862270846 scopus 로고    scopus 로고
    • Variational convergence of IP-DGFEM
    • Numerical Analysis Group, Wolfson Building, Parks Road, Oxford, England OX1 3QD, April
    • A. Buffa and C. Ortner. Variational convergence of IP-DGFEM. Technical Report 07/10, Oxford University Computing Laboratory, Numerical Analysis Group, Wolfson Building, Parks Road, Oxford, England OX1 3QD, April 2007.
    • (2007) Technical Report 07/10, Oxford University Computing Laboratory
    • Buffa, A.1    Ortner, C.2
  • 5
    • 0000076512 scopus 로고    scopus 로고
    • Runge-Kutta discontinuous Galerkin methods for convectiondominated problems
    • B. Cockburn and C.W. Shu. Runge-Kutta discontinuous Galerkin methods for convectiondominated problems. J. Sci. Comput, 16(3):173-261, 2001.
    • (2001) J. Sci. Comput , vol.16 , Issue.3 , pp. 173-261
    • Cockburn, B.1    Shu, C.W.2
  • 6
    • 34447103174 scopus 로고    scopus 로고
    • A discontinuous Galerkin formulation for classical and gradient plasticity- Part 1: Formulation and analysis
    • J.K. Djoko, F. Ebobisse, A.T. McBride, and B.D. Reddy. A discontinuous Galerkin formulation for classical and gradient plasticity- Part 1: Formulation and analysis. Computer Methods in Applied Mechanics and Engineering, 196(37-40):3881-3897, 2007.
    • (2007) Computer Methods in Applied Mechanics and Engineering , vol.196 , Issue.37-40 , pp. 3881-3897
    • Djoko, J.K.1    Ebobisse, F.2    McBride, A.T.3    Reddy, B.D.4
  • 7
    • 35348897873 scopus 로고    scopus 로고
    • A discontinuous Galerkin formulation for classical and gradient plasticity, Part 2: Algorithms and numerical analysis
    • J.K. Djoko, F. Ebobisse, A.T. McBride, and B.D. Reddy. A discontinuous Galerkin formulation for classical and gradient plasticity. Part 2: Algorithms and numerical analysis. Computer Methods in Applied Mechanics and Engineering, 197(1-4):1-21, 2007.
    • (2007) Computer Methods in Applied Mechanics and Engineering , vol.197 , Issue.1-4 , pp. 1-21
    • Djoko, J.K.1    Ebobisse, F.2    McBride, A.T.3    Reddy, B.D.4
  • 8
    • 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, strain gradient elasticity
    • G. Engel, K. Garikipati, T.J.R. Hughes, M.G. Larson, L. Mazzei, and R.L. Taylor. Continuous/discontinuous finite element approximations of fourth-order elliptic problems in structural and continuum mechanics with applications to thin beams and plates, strain gradient elasticity. Computer Methods in Applied Mechanics and Engineering, 191:3669-3750, 2002.
    • (2002) Computer Methods in Applied Mechanics and Engineering , vol.191 , pp. 3669-3750
    • Engel, G.1    Garikipati, K.2    Hughes, T.J.R.3    Larson, M.G.4    Mazzei, L.5    Taylor, R.L.6
  • 11
    • 0037085994 scopus 로고    scopus 로고
    • Discontinuous Galerkin methods for incompressible and nearly incompressible elasticity by Nitsche's method
    • P. Hansbo and M.G. Larson. Discontinuous Galerkin methods for incompressible and nearly incompressible elasticity by Nitsche's method. Computer Methods in Applied Mechanics and Engineering, 191(17):1895-1908, 2002.
    • (2002) Computer Methods in Applied Mechanics and Engineering , vol.191 , Issue.17 , pp. 1895-1908
    • Hansbo, P.1    Larson, M.G.2
  • 13
    • 55449117584 scopus 로고    scopus 로고
    • Optimal BV estimates for a discontinuous Galerkin method in linear elasticity
    • A. Lew, P. Neff, D. Sulsky, and M. Ortiz. Optimal BV estimates for a discontinuous Galerkin method in linear elasticity. Applied Mathematics Research Express, 3:73-106, 2004.
    • (2004) Applied Mathematics Research Express , vol.3 , pp. 73-106
    • Lew, A.1    Neff, P.2    Sulsky, D.3    Ortiz, M.4
  • 16
    • 44749094975 scopus 로고    scopus 로고
    • Adaptive stabilization of discontinuous Galerkin methods for nonlinear elasticity: Analytical estimates
    • 33-40
    • A. Ten Eyck, F. Celiker, and A. Lew. Adaptive stabilization of discontinuous Galerkin methods for nonlinear elasticity: Analytical estimates. Computer Methods in Applied Mechanics and Engineering, 197(33-40):2989-3000, 2008.
    • (2008) Computer Methods in Applied Mechanics and Engineering , vol.197 , pp. 2989-3000
    • Eyck, A.T.1    Celiker, F.2    Lew, A.3
  • 17
    • 50149088362 scopus 로고    scopus 로고
    • Adaptive stabilization of discontinuous Galerkin methods for nonlinear elasticity: Motivation, formulation and numerical examples
    • in press
    • A. Ten Eyck, F. Celiker, and A. Lew. Adaptive stabilization of discontinuous Galerkin methods for nonlinear elasticity: Motivation, formulation and numerical examples. Computer Methods in Applied Mechanics and Engineering, 2008 (in press).
    • (2008) Computer Methods in Applied Mechanics and Engineering
    • Eyck, A.T.1    Celiker, F.2    Lew, A.3
  • 19
    • 33748907906 scopus 로고    scopus 로고
    • A discontinuous Galerkin method for the Cahn- Hilliard equation
    • G.N. Wells, E. Kuhl, and K. Garikipati. A discontinuous Galerkin method for the Cahn- Hilliard equation. Journal of Computational Physics, 218(2):860-877, 2006.
    • (2006) Journal of Computational Physics , vol.218 , Issue.2 , pp. 860-877
    • Wells, G.N.1    Kuhl, E.2    Garikipati, K.3
  • 20
    • 1642499378 scopus 로고    scopus 로고
    • Locking-free DGFEM for elasticity problems in polygons
    • T.P. Wihler. Locking-free DGFEM for elasticity problems in polygons. IMA Journal of Numerical Analysis, 24:45-75, 2004.
    • (2004) IMA Journal of Numerical Analysis , vol.24 , pp. 45-75
    • Wihler, T.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.