Abstract:
We construct a scheme of a finite element method for boundary value problems with non-coordinated
degeneration of input data and singularity of solution. The rate of convergence of an approximate solution of
the proposed finite element method to the exact $R_{\nu}$-generalized solution in the weight set $W^1_{2,\nu^*+\beta/2+1}(\Omega,\delta)$ is investigated, the estimation of finite element approximations is established.
Key words:non-coordinated degeneration of input data, $R_{\nu}$-generalized solution, singularity of a solution, finite element method.
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