메뉴 건너뛰기




Volumn 37, Issue 2, 2000, Pages 683-700

Maximum norm error estimators for three-dimensional elliptic problems

Author keywords

A posteriori; Adaptivity; Error estimators; Maximum norm

Indexed keywords


EID: 0010648448     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/s0036142998340253     Document Type: Article
Times cited : (38)

References (21)
  • 1
    • 84980075953 scopus 로고
    • Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions
    • S. AGMON, A. DOUGLIS, AND L. NIRENBERG, Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions, Comm. Pure Appl. Math., 12 (1959), pp. 623-727.
    • (1959) Comm. Pure Appl. Math. , vol.12 , pp. 623-727
    • Agmon, S.1    Douglis, A.2    Nirenberg, L.3
  • 2
    • 0000640678 scopus 로고
    • Direct and inverse error estimates for finite elements with mesh refinements
    • I. BABUŠKA, R. B. KELLOGG, AND J. PITKÄRANTA, Direct and inverse error estimates for finite elements with mesh refinements, Numer. Math., 33 (1972), pp. 447-471.
    • (1972) Numer. Math. , vol.33 , pp. 447-471
    • Babuška, I.1    Kellogg, R.B.2    Pitkäranta, J.3
  • 3
    • 0031274209 scopus 로고    scopus 로고
    • Anisotropic mesh optimization and its application in adaptivity
    • G. BUSCAGLIA AND E. A. DARI, Anisotropic mesh optimization and its application in adaptivity, Internat. J. Numer. Methods Engrg., 40 (1997), pp. 4119-4136.
    • (1997) Internat. J. Numer. Methods Engrg. , vol.40 , pp. 4119-4136
    • Buscaglia, G.1    Dari, E.A.2
  • 7
    • 0040517608 scopus 로고    scopus 로고
    • A posteriori error estimators for nonconforming finite element methods
    • E. DARI, R. DURÁN, C. PADRA, AND V. VAMPA, A posteriori error estimators for nonconforming finite element methods, RAIRO Modél. Math. Anal. Numér., 30 (1996), pp. 385-400.
    • (1996) RAIRO Modél. Math. Anal. Numér. , vol.30 , pp. 385-400
    • Dari, E.1    Durán, R.2    Padra, C.3    Vampa, V.4
  • 8
    • 21844523000 scopus 로고
    • Error estimators for nonconforming finite elements approximations of the Stokes problem
    • E. DARI, R. DURÁN, AND C. PADRA, Error estimators for nonconforming finite elements approximations of the Stokes problem, Math. Comp., 64 (1995), pp. 1017-1033.
    • (1995) Math. Comp. , vol.64 , pp. 1017-1033
    • Dari, E.1    Durán, R.2    Padra, C.3
  • 10
    • 0000406321 scopus 로고
    • An adaptive finite element method with efficient maximum norm error control for elliptic problems
    • K. ERIKSSON, An adaptive finite element method with efficient maximum norm error control for elliptic problems, Math. Models Methods Appl. Sci., 4 (1994), pp. 313-329.
    • (1994) Math. Models Methods Appl. Sci. , vol.4 , pp. 313-329
    • Eriksson, K.1
  • 13
    • 0039924017 scopus 로고    scopus 로고
    • Element-oriented and edge-oriented local error estimators for nonconforming finite element methods
    • R. HOPPE AND B. WOHLMUTH, Element-oriented and edge-oriented local error estimators for nonconforming finite element methods, RAIRO Modél Math. Anal. Numér., 30 (1996), pp. 237-263.
    • (1996) RAIRO Modél Math. Anal. Numér. , vol.30 , pp. 237-263
    • Hoppe, R.1    Wohlmuth, B.2
  • 15
    • 84968465448 scopus 로고
    • Pointwise a posteriori error estimates for elliptic problems on highly graded meshes
    • R. NOCHETTO, Pointwise a posteriori error estimates for elliptic problems on highly graded meshes, Math. Comp., 64 (1995), pp. 1-22.
    • (1995) Math. Comp. , vol.64 , pp. 1-22
    • Nochetto, R.1
  • 16
    • 0003654184 scopus 로고    scopus 로고
    • A posteriori error estimators for nonconforming approximation of some quasi-newtonian flows
    • C. PADRA, A posteriori error estimators for nonconforming approximation of some quasi-newtonian flows, SIAM J. Numer. Anal., 34 (1997), pp. 1600-1615.
    • (1997) SIAM J. Numer. Anal. , vol.34 , pp. 1600-1615
    • Padra, C.1
  • 17
    • 0021452023 scopus 로고
    • Mesh refinement processes based on the generalized bisection of simplices
    • M. C. RIVARA, Mesh refinement processes based on the generalized bisection of simplices, SIAM J. Numer. Anal., 21 (1984), pp. 604-613.
    • (1984) SIAM J. Numer. Anal. , vol.21 , pp. 604-613
    • Rivara, M.C.1
  • 18
    • 84966200902 scopus 로고
    • Finite element interpolation of non-smooth functions satisfying boundary conditions
    • L. R. SCOTT AND S. ZHANG, Finite element interpolation of non-smooth functions satisfying boundary conditions, Math. Comp., 54 (1990), pp. 483-493.
    • (1990) Math. Comp. , vol.54 , pp. 483-493
    • Scott, L.R.1    Zhang, S.2
  • 19
    • 84968482071 scopus 로고
    • Maximum norm estimates in the finite element method on plane polygonal domains, Part 2, Refinements
    • A. H. SCHATZ AND L. B. WAHLBIN, Maximum norm estimates in the finite element method on plane polygonal domains, Part 2, Refinements, Math. Comp., 33 (1979), pp. 465-492.
    • (1979) Math. Comp. , vol.33 , pp. 465-492
    • Schatz, A.H.1    Wahlbin, L.B.2
  • 20
    • 34249971216 scopus 로고
    • A posteriori error estimators for the Stokes equations
    • R. VERFÜRTH, A posteriori error estimators for the Stokes equations, Numer. Math., 55 (1989), pp. 309-325.
    • (1989) Numer. Math. , vol.55 , pp. 309-325
    • Verfürth, R.1
  • 21
    • 70350504045 scopus 로고
    • Local behavior in finite element methods
    • P. G. Ciarlet, J. L. Lions, eds., North-Holland, Amsterdam
    • L. B. WAHLBIN, Local behavior in finite element methods, in Handbook of Numerical Analysis Vol. 2, P. G. Ciarlet, J. L. Lions, eds., North-Holland, Amsterdam, 1991, pp. 353-522.
    • (1991) Handbook of Numerical Analysis , vol.2 , pp. 353-522
    • Wahlbin, L.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.