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Abstract:In this paper we propose a new a posteriori error estimator for a boundary element solution related to a Dirichlet problem with a second order elliptic partial differential operator. The method is based on an approximate solution of a boundary integral equation of the second kind by a Neumann series to estimate the error of a previously computed boundary element solution. For this one may...
Abstract:An approach to the numerical computation of the optimal feedback law for nonlinear infinite time horizon control problems is presented and tested. For a sequence of control systems with truncated time horizon the canonical equations are solved by an adapted multiple shooting algorithm. Interpolation of computed costates gives a feedback law on a prescribed region of the state space. Numerical...
Abstract:Adaptive mesh design based on a posteriori error control is studied for finite element discretisations for variational problems of Signorini type. The techniques to derive residual based error estimators developed, e.g., in ([2, 10, 20]) are extended to variational inequalities employing a suitable adaptation of the duality argument [17]. By use of this variational argument weighted a posteriori...
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