On the combined effect of boundary approximation and numerical integration on mixed finite element solution of 4th order elliptic problems with variable coefficients

Bhattacharyya, Pulin K. ; Nataraj, Neela (1999) On the combined effect of boundary approximation and numerical integration on mixed finite element solution of 4th order elliptic problems with variable coefficients ESAIM: Mathematical Modelling and Numerical Analysis, 33 (4). pp. 807-836. ISSN 0764-583X

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Official URL: http://doi.org/10.1051/m2an:1999165

Related URL: http://dx.doi.org/10.1051/m2an:1999165

Abstract

Error estimates for the mixed finite element solution of 4th 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 tensor field ¥=(¥ij)1≤i,j≤2 and displacement field 'u', have been developed considering the combined effect of boundary approximation and numerical integration.

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