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Volumn 117, Issue 4, 2011, Pages 653-677

Hierarchical error estimates for the energy functional in obstacle problems

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EID: 79952573751     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00211-011-0364-5     Document Type: Article
Times cited : (27)

References (23)
  • 2
    • 0027642848 scopus 로고
    • A posteriori error estimates based on hierarchical bases
    • Bank R. E., Smith R. K.: A posteriori error estimates based on hierarchical bases. SIAM J. Numer. Anal. 30, 921-935 (1993).
    • (1993) SIAM J. Numer. Anal. , vol.30 , pp. 921-935
    • Bank, R.E.1    Smith, R.K.2
  • 3
    • 11144295563 scopus 로고    scopus 로고
    • Averaging techniques yield reliable a posteriori finite element error control for obstacle problems
    • Bartels S., Carstensen C.: Averaging techniques yield reliable a posteriori finite element error control for obstacle problems. Numer. Math. 99(2), 225-249 (2004).
    • (2004) Numer. Math. , vol.99 , Issue.2 , pp. 225-249
    • Bartels, S.1    Carstensen, C.2
  • 4
    • 0001701058 scopus 로고    scopus 로고
    • A posteriori error estimates for elliptic problems in two and three space dimensions
    • Bornemann F. A., Erdmann B., Kornhuber R.: A posteriori error estimates for elliptic problems in two and three space dimensions. SIAM J. Numer. Anal. 33, 1188-1204 (1996).
    • (1996) SIAM J. Numer. Anal. , vol.33 , pp. 1188-1204
    • Bornemann, F.A.1    Erdmann, B.2    Kornhuber, R.3
  • 5
    • 29144485659 scopus 로고    scopus 로고
    • A posteriori error estimators for obstacle problems-another look
    • Braess D.: A posteriori error estimators for obstacle problems-another look. Numer. Math. 101, 415-421 (2005).
    • (2005) Numer. Math. , vol.101 , pp. 415-421
    • Braess, D.1
  • 6
    • 47849096117 scopus 로고    scopus 로고
    • A posteriori estimator for obstacle problems by the hypercircle method
    • Braess D., Hoppe R. H. W., Schöberl J.: A posteriori estimator for obstacle problems by the hypercircle method. Comp. Vis. Sci. 11, 351-362 (2008).
    • (2008) Comp. Vis. Sci. , vol.11 , pp. 351-362
    • Braess, D.1    Hoppe, R.H.W.2    Schöberl, J.3
  • 7
    • 0002276608 scopus 로고
    • Convergence of the discrete free boundaries for finite element approximations
    • Brezzi F., Caffarelli L. A.: Convergence of the discrete free boundaries for finite element approximations. RAIRO Numer. Anal. 17, 385-395 (1983).
    • (1983) RAIRO Numer. Anal. , vol.17 , pp. 385-395
    • Brezzi, F.1    Caffarelli, L.A.2
  • 8
    • 0000947683 scopus 로고
    • Error estimates for the finite element solution of variational inequalities I
    • Brezzi F., Hager W. W., Raviart P. A.: Error estimates for the finite element solution of variational inequalities I. Numer. Math. 28, 431-443 (1977).
    • (1977) Numer. Math. , vol.28 , pp. 431-443
    • Brezzi, F.1    Hager, W.W.2    Raviart, P.A.3
  • 10
    • 0036013506 scopus 로고    scopus 로고
    • Small data oscillation implies the saturation assumption
    • Dörfler W., Nochetto R. H.: Small data oscillation implies the saturation assumption. Numer. Math. 91, 1-12 (2002).
    • (2002) Numer. Math. , vol.91 , pp. 1-12
    • Dörfler, W.1    Nochetto, R.H.2
  • 11
    • 11044237512 scopus 로고    scopus 로고
    • A posteriori error estimators for regularized total variation of characteristic functions
    • electronic
    • Fierro, F., Veeser, A.: A posteriori error estimators for regularized total variation of characteristic functions. SIAM J. Numer. Anal. 41(6), 2032-2055 (2003, electronic).
    • (2003) SIAM J. Numer. Anal. , vol.41 , Issue.6 , pp. 2032-2055
    • Fierro, F.1    Veeser, A.2
  • 12
    • 0028420070 scopus 로고
    • Adaptive multilevel-methods for obstacle problems
    • Hoppe R. H. W., Kornhuber R.: Adaptive multilevel-methods for obstacle problems. SIAM J. Numer. Anal. 31(2), 301-323 (1994).
    • (1994) SIAM J. Numer. Anal. , vol.31 , Issue.2 , pp. 301-323
    • Hoppe, R.H.W.1    Kornhuber, R.2
  • 13
    • 0030128859 scopus 로고    scopus 로고
    • A posteriori error estimates for elliptic variational inequalities
    • Kornhuber R.: A posteriori error estimates for elliptic variational inequalities. Comp. Math. Appl. 31, 49-60 (1996).
    • (1996) Comp. Math. Appl. , vol.31 , pp. 49-60
    • Kornhuber, R.1
  • 15
    • 78649369253 scopus 로고    scopus 로고
    • Efficient and reliable hierarchical error estimates for the discretization error of elliptic obstacle problems. Preprint 519, DFG Research Center Matheon
    • Kornhuber R., Zou Q.: Efficient and reliable hierarchical error estimates for the discretization error of elliptic obstacle problems. Preprint 519, DFG Research Center Matheon. Math. Comp. 80, 69-88 (2011).
    • (2011) Math. Comp. , vol.80 , pp. 69-88
    • Kornhuber, R.1    Zou, Q.2
  • 16
    • 0041411640 scopus 로고    scopus 로고
    • Pointwise a posteriori error control for elliptic obstacle problems
    • Nochetto R. H., Siebert K. G., Veeser A.: Pointwise a posteriori error control for elliptic obstacle problems. Numer. Math. 95, 631-658 (2003).
    • (2003) Numer. Math. , vol.95 , pp. 631-658
    • Nochetto, R.H.1    Siebert, K.G.2    Veeser, A.3
  • 18
    • 39449115451 scopus 로고    scopus 로고
    • A unilaterally constrained quadratic minimization with adaptive finite elements
    • Siebert K. G., Veeser A.: A unilaterally constrained quadratic minimization with adaptive finite elements. SIAM J. Optim. 18, 260-289 (2007).
    • (2007) SIAM J. Optim. , vol.18 , pp. 260-289
    • Siebert, K.G.1    Veeser, A.2
  • 19
    • 0035733517 scopus 로고    scopus 로고
    • Efficient and reliable a posteriori error estimators for elliptic obstacle problems
    • Veeser A.: Efficient and reliable a posteriori error estimators for elliptic obstacle problems. SIAM J. Numer. Anal. 39(1), 146-167 (2001).
    • (2001) SIAM J. Numer. Anal. , vol.39 , Issue.1 , pp. 146-167
    • Veeser, A.1
  • 20
    • 0036823525 scopus 로고    scopus 로고
    • Convergent adaptive finite elements for the nonlinear Laplacian
    • Veeser A.: Convergent adaptive finite elements for the nonlinear Laplacian. Numer. Math. 92(4), 743-770 (2002).
    • (2002) Numer. Math. , vol.92 , Issue.4 , pp. 743-770
    • Veeser, A.1
  • 23
    • 0020295758 scopus 로고
    • The hierarchical concept in finite element analysis
    • Zienkiewicz O. C., De S. R. Gago J. P., Kelly D. W.: The hierarchical concept in finite element analysis. Comp. Str. 16, 53-65 (1983).
    • (1983) Comp. Str. , vol.16 , pp. 53-65
    • Zienkiewicz, O.C.1    De, S.R.2    Gago, J.P.3    Kelly, D.W.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.