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  • Articles: DFG German National Licenses  (1)
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    Electronic Resource
    Electronic Resource
    Nonconforming finite element methods without numerical locking (1998)
    Springer
    Numerische Mathematik 81 (1998), S. 163-186 
    Details
    ISSN: 0945-3245
    Keywords: Mathematics Subject Classification (1991): 65M60
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract. We analyze the numerical approximation of a class of elliptic problems which depend on a small parameter $\varepsilon$ . We give a generalization to the nonconforming case of a recent result established by Chenais and Paumier for a conforming discretization. For both the situations where numerical integration is used or not, a uniform convergence in $\varepsilon$ and h is proved, numerical locking being thus avoided. Important tools in the proof of such a result are compactness properties for nonconforming spaces as well as the passage to the limit problem.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s002110050388
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