A posteriori estimates of errors of structural solutions of space problems in mathematical physics (Q1375006)

We present one of the effective methods for obtaining a posteriori estimates of errors of acoustic and heat conductivity approximation problems, which is based on the theory of \(R\)-functions. This method combines the possibilities of the theory of conjugate variational problems and constructive peculiarities of \(R\)-functions. In this way, if we have two approximate solutions of a boundary value problem that are obtained with the help of the original and conjugate variational formulations, we can estimate the errors of these solutions.