In this study, we derive error estimates for time accurate wavelet based schemes in two stages. First we look at the semi-discrete boundary value problem as a Cauchy problem and use spectral decomposition of self adjoint operators to arrive at the temporal error estimates both in L2 and energy norms. Later, following the wavelet approximation theory, we propose spatial error estimates in L2 and...

This paper is concerned with the coupling of non-conform nite element and boundary element methods in continuation of Part I (C. Carstensen, S.A. Funken: Coupling of non-conform nite elements and boundary elements I: a priori estimates), where we recast the interface model problem, introduced a coupling scheme and proved a priori error estimates. In this paper, we establish sharp a posteriori e...

We show quasi-optimal a priori convergence results in the Land H−1/2-norm for the approximation of surface based Lagrange multipliers such as those employed in the mortar finite element method. We improve on the estimates obtained in the standard saddle point theory, where error estimates for both the primal and dual variables are obtained simultaneously and thus only suboptimal a priori estima...

In this paper we develop a priori error analysis for Galerkin finite element discretizations of optimal control problems governed by linear parabolic equations. The space discretization of the state variable is done using usual conforming finite elements, whereas the time discretization is based on discontinuous Galerkin methods. For different types of control discretizations we provide error e...