Approximation of Non-Homogeneous Neumann Problems - Regularity of the Convergence and Estimates of Errors in Terms of n-Width

摘要

A process of approximation of a linear problem is constructed such that, under suitable assumptions, the convergence holds in the space where the solution actually lies. Under the same type of assumptions, the error behaves like the n-width. These results are applied to the approximation of solutions of Neumann variational boundary value problems with irregular data on the boundary. (Author)