In this paper, we propose offline and online adaptive enrichment algorithms for the generalized multiscale approximation of a mixed finite element method with velocity elimination to solve subsurface flow problem in high-contrast heterogeneous porous media. method, first derive an a-posteriori error indicator based on one weighted L2-norm local residual operator, where is related pressure field...

We shall prove the equivalence bewteen the convergences of Mann and implicit Mann iterations dealing with various classes of non-Lipschitzian operators.

We provide a characterization of classes filters D for which the full subcategory fixAD Conv formed by convergences determined adherence class is simple in Conv. Along way, we also elucidate when two result same category adherence-determined convergences. As an application main result, show that hypotopologies not simple, thus answering question from [24].

Recently, the different types of unbounded convergences (uo, un, uaw, uaw*) in Banach lattices were studied. In this paper, we study continuous functionals with respect to convergences. We first characterize continuity linear for these Then define corresponding dual spaces and get their exact form. Based on results, discuss order reflexivity lattices. Some related results are obtained as well.