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Volumn 71, Issue 240, 2002, Pages 1405-1419

Positivity preserving finite element approximation

Author keywords

Extreme points; Finite elements; Positive operators; Second order accuracy

Indexed keywords


EID: 0036790329     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-01-01369-2     Document Type: Article
Times cited : (36)

References (12)
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    • Chen, Z.1    Nochetto, R.H.2
  • 4
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    • Basic error estimates for elliptic problems
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    • P.G. Ciarlet, Basic Error Estimates for Elliptic Problems, in Handbook of Numerical Analysis, Vol II (Finite Element Methods (Part 1)), P.G. Ciarlet and J.L. Lions eds, North-Holland, 1991, 17-351. CMP 91:14.
    • (1991) Handbook of Numerical Analysis , vol.2 , pp. 17-351
    • Ciarlet, P.G.1
  • 5
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    • Approximation by finite element functions using local regularization
    • MR 53:4569
    • Ph. Clément, Approximation by finite element functions using local regularization, RAIRO Anal. Numer. 9 (1975), 77-84. MR 53:4569.
    • (1975) RAIRO Anal. Numer. , vol.9 , pp. 77-84
    • Clément, Ph.1
  • 6
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    • A mollifier useful for approximations in Sobolev spaces and some applications to approximating solutions of differential equations
    • MR 48:10047
    • S. Hilbert, A mollifier useful for approximations in Sobolev spaces and some applications to approximating solutions of differential equations, Math. Comp. 27 (1973), 81-89. MR 48:10047.
    • (1973) Math. Comp. , vol.27 , pp. 81-89
    • Hilbert, S.1
  • 8
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    • Holt, Rinehart and Winston, New York. MR 35:4642
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    • (1966) Approximation of Functions
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  • 10
    • 84966200902 scopus 로고
    • Finite element interpolation of nonsmooth functions satisfying boundary conditions
    • MR 90j:65021
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    • (1990) Math. Comp. , vol.54 , pp. 483-493
    • Scott, L.R.1    Zhang, S.2
  • 11
    • 0002245797 scopus 로고
    • Approximation in the finite element method
    • MR 46:4677
    • G. Strang, Approximation in the finite element method, Numer. Math. 19 (1972), 81-98. MR 46:4677.
    • (1972) Numer. Math. , vol.19 , pp. 81-98
    • Strang, G.1


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