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Error estimates for the mixed nite element solution of 4th order elliptic problems with variable coecients, which, in the particular case of aniso-/ortho-/isotropic plate bending problems, gives a direct, simultaneous approximation to bending moment tensor eld = ( ij)1i;j2 and displacement eld 'u 0 , have been developed considering the combined eect of boundary approximation and numerical integration. AMS Subject Classication. 35J40, 65N30.

modélisation mathématique et analyse numérique

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