Abstract: For the problem
stated in the title new a posteriori and a priori error estimates of approximate
solutions in every fixed point of the bounded domain with boundary G
of class are suggested which may be obtained
by using variational methods and, in particular, estimates of the uniform
metric.A
presumptive method is similar to an abstract scheme conceptually which is called
the method of similar operators [4, 8] and appears to be more perfect for the
problem stated in the title. It is free from the complexity concerned with the
application of the method of orthogonal projections [9].
Keywords and phrases: uniform estimate of error, Dirichlet’s problem, Schrodinger’s steady-state equation, variational methods, method of similar operators, approximate and exact solution.
