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fourth order equations

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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On the combined effect of boundary approximationand numerical integration on mixed finite element solutionof 4th order elliptic problems with variable coefficients
Pulin K. Bhattacharyya, Neela Nataraj
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 33 / Issue 4 / July 1999

Published online by Cambridge University Press:

15 August 2002, pp. 807-836

Print publication:

July 1999
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Error estimates for the mixed finite element solution of4th order elliptic problems with variable coefficients, which, in the particular case of aniso-/ortho-/isotropic plate bending problems, gives a direct, simultaneous approximation to bending moment tensorfield $\Psi= (\psi_{ij})_{1 \le i,j \le 2}$ and displacement field 'u', have been developed considering the combined effect of boundary approximation and numerical integration.