In this work finite superelements method (FSEM) for solution of biharmonical equation in bounded domains is proposed and developed. The method is based on splitting of domain into subdomains with the solution of a number of intermediary problems, every of which is boundary value problem for biharmonical equation with boundary condition, being basis for interpolation of searching solution on a superlements boundaries. The initial problem solution is found as an expansion on the constructed function system. It is shown that solution of general problem can be recovered using functions and traces found above. Error estimates for one case of FSEM are obtained.

Mathematical problems and theory of numerical methods