## Numerical analysis of the general biharmonic problem by the finite element method.(English)Zbl 0541.65072

This paper deals with the solution of the biharmonic problem with mixed boundary conditions using curved triangular finite $$C^ 1$$ elements and Bell’s elements. Error bounds in the $$L_ 2$$ norm are found and the effects of numerical integration investigated.
Reviewer: J.D.P.Donnelly

### MSC:

 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs 65N15 Error bounds for boundary value problems involving PDEs 35J40 Boundary value problems for higher-order elliptic equations 31A30 Biharmonic, polyharmonic functions and equations, Poisson’s equation in two dimensions
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### References:

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