The main focus of this paper is on an a-posteriori analysis for different model-order strategies applied to optimal control problems governed by linear parabolic partial differential equations. Based on a perturbation method it is deduced how far the suboptimal control, computed on the basis of the reduced-order model, is from the (unknown) exact one. For the model-order reduction, H2,α-norm op...

Abstract. A new residual local projection stabilized method (RELP) is proposed as a result of an enriched Petrov-Galerkin strategy for the Oseen problem. The P 1 × Pl pairs, l = 0, 1 with continuous or discontinuous pressures, are made stable by enhancing them with solutions of residual-based local Oseen problems and performing a static condensation procedure afterward. This process does not in...

This work addresses stabilized equal-order finite elements for the hydrostatic approximation of the three-dimensional (3D) Stokes equations which is also called 2.5D Stokes problem. By defining appropriate averaging operators, several stabilized schemes for the two-dimensional (2D) Stokes problem can be generalized to this 2.5D problem, as e.g. pressure stabilized Petrov-Galerkin, local project...

We present a new Boundary Discontinuous Petrov-Galerkin (BDPG) method for Computational Fluid Dynamics (CFD) simulations. The method represents a modification of the standard Hybrid Discontinuous Galerkin (HDG) scheme, and uses locally-computed optimal test functions to achieve enhanced accuracy along the domain boundaries. This leads to improved accuracy in relevant boundary outputs such as li...