메뉴 건너뛰기




Volumn 33, Issue 6, 1996, Pages 2431-2444

A posteriori error estimators for the Raviart-thomas element

Author keywords

A posteriori error estimation; Mesh dependent norms; Mixed formulation of the poisson equation; Raviart Thomas element

Indexed keywords


EID: 0000518260     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142994264079     Document Type: Article
Times cited : (139)

References (17)
  • 1
    • 0001804939 scopus 로고
    • Mixed and nonconforming finite element methods: Implementation, postprocessing and error estimates
    • D. N. ARNOLD AND F. BREZZI, Mixed and nonconforming finite element methods: Implementation, postprocessing and error estimates, RAIRO Modél. Math. Anal. Numér., 19 (1985), pp. 7-32.
    • (1985) RAIRO Modél. Math. Anal. Numér. , vol.19 , pp. 7-32
    • Arnold, D.N.1    Brezzi, F.2
  • 2
    • 84966241455 scopus 로고
    • Analysis of mixed methods using mesh dependent norms
    • I. BABUŠKA, J. OSBORN, AND J. PITKÄRANTA, Analysis of mixed methods using mesh dependent norms, Math. Comp., 35 (1980), pp. 1039-1062.
    • (1980) Math. Comp. , vol.35 , pp. 1039-1062
    • Babuška, I.1    Osborn, J.2    Pitkäranta, J.3
  • 3
    • 0000613724 scopus 로고
    • Error estimates for adaptive finite element computations
    • I. BABUŠKA AND W. C. RHEINBOLDT, Error estimates for adaptive finite element computations, SIAM J. Numer. Anal., 15 (1976), pp. 736-754.
    • (1976) SIAM J. Numer. Anal. , vol.15 , pp. 736-754
    • Babuška, I.1    Rheinboldt, W.C.2
  • 4
    • 0027642848 scopus 로고
    • A posteriori error estimates based on hierarchical bases
    • R. E. BANK AND R. K. SMITH, A posteriori error estimates based on hierarchical bases, SIAM J. Numer. Anal., 30 (1993), pp. 921-935.
    • (1993) SIAM J. Numer. Anal. , vol.30 , pp. 921-935
    • Bank, R.E.1    Smith, R.K.2
  • 5
    • 84966215690 scopus 로고
    • Some a posteriori error estimators for elliptic partial differential equations
    • R. E. BANK AND A. WEISER, Some a posteriori error estimators for elliptic partial differential equations, Math. Comp., 44 (1985), pp. 283-301.
    • (1985) Math. Comp. , vol.44 , pp. 283-301
    • Bank, R.E.1    Weiser, A.2
  • 6
    • 0001701058 scopus 로고    scopus 로고
    • A posteriori error estimates for elliptic problems in two and three space dimensions
    • F. BORNEMANN, B. ERDMANN, AND R. KORNHUBER, A posteriori error estimates for elliptic problems in two and three space dimensions, SIAM J. Numer. Anal., 33 (1996), pp. 1188-1204.
    • (1996) SIAM J. Numer. Anal. , vol.33 , pp. 1188-1204
    • Bornemann, F.1    Erdmann, B.2    Kornhuber, R.3
  • 8
    • 0016093926 scopus 로고
    • On the existence, uniqueness and approximation of saddle-point problems arising from Lagrangian multipliers
    • F. BREZZI, On the existence, uniqueness and approximation of saddle-point problems arising from Lagrangian multipliers, RAIRO Anal. Numér., 8 (1974), pp. 129-151.
    • (1974) RAIRO Anal. Numér. , vol.8 , pp. 129-151
    • Brezzi, F.1
  • 11
    • 0016541865 scopus 로고
    • Approximation by finite element functions using local regularization
    • PH. CLÉMENT, Approximation by finite element functions using local regularization, RAIRO Anal. Numér., 2 (1975), pp. 77-84.
    • (1975) RAIRO Anal. Numér. , vol.2 , pp. 77-84
    • Clément, Ph.1
  • 12
    • 1542639888 scopus 로고    scopus 로고
    • A convergent adaptive algorithm for Poisson's equation
    • W. DÖRFLER, A convergent adaptive algorithm for Poisson's equation, SIAM J. Numer. Anal., 33 (1996), pp. 1106-1124.
    • (1996) SIAM J. Numer. Anal. , vol.33 , pp. 1106-1124
    • Dörfler, W.1
  • 13
    • 84966208664 scopus 로고
    • Analysis of some mixed finite element methods for plane elasticity equations
    • J. PITKÄRANTA AND R. STENBERG, Analysis of some mixed finite element methods for plane elasticity equations, Math. Comp., 41 (1983), pp. 399-423.
    • (1983) Math. Comp. , vol.41 , pp. 399-423
    • Pitkäranta, J.1    Stenberg, R.2
  • 14
    • 0001175293 scopus 로고
    • A mixed finite element method for second order elliptic problems
    • I. Galligani and E. Magenes, eds., Springer-Verlag, New York
    • P. A. RAVIART AND J. M. THOMAS, A mixed finite element method for second order elliptic problems, in Mathematical Aspects of the Finite Element Method, I. Galligani and E. Magenes, eds., Springer-Verlag, New York, 1977, pp. 292-315.
    • (1977) Mathematical Aspects of the Finite Element Method , pp. 292-315
    • Raviart, P.A.1    Thomas, J.M.2
  • 15
    • 34249971216 scopus 로고
    • A posteriori error estimators for the Stokes problem
    • R. VERFÜRTH, A posteriori error estimators for the Stokes problem, Numer. Math., 55 (1989), pp. 309-325.
    • (1989) Numer. Math. , vol.55 , pp. 309-325
    • Verfürth, R.1
  • 16
    • 0007700641 scopus 로고
    • A posteriori error estimators and adaptive mesh-refinement techniques for the Navier-Stokes equations
    • M. D. Gunzburger and R. A. Nicolaides, eds., Cambridge University Press, London
    • _, A posteriori error estimators and adaptive mesh-refinement techniques for the Navier-Stokes equations, in Incompressible CFD-Trends and Advances, M. D. Gunzburger and R. A. Nicolaides, eds., Cambridge University Press, London, 1993, pp. 447-475.
    • (1993) Incompressible CFD-Trends and Advances , pp. 447-475
  • 17
    • 0028423814 scopus 로고
    • A posteriori error estimation and adaptive mesh-refinement techniques
    • _, A posteriori error estimation and adaptive mesh-refinement techniques, J. Comput. Appl. Math., 50 (1994), pp. 67-83.
    • (1994) J. Comput. Appl. Math. , vol.50 , pp. 67-83


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.