A weighted least squares finite element method for elliptic problems with degenerate and singular coefficients
نویسندگان
چکیده
منابع مشابه
A weighted least squares finite element method for elliptic problems with degenerate and singular coefficients
We consider second order elliptic partial differential equations with coefficients that are singular or degenerate at an interior point of the domain. This paper presents formulation and analysis of a novel weighted-norm least squares finite element method for this class of problems. We propose a weighting scheme that eliminates the pollution effect and recovers optimal convergence rates. Theor...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 2012
ISSN: 0025-5718,1088-6842
DOI: 10.1090/s0025-5718-2012-02659-7