In this article we propose and analyze an a posteriori error estimator for a three-field model of a generalized Stokes problem. The components of the a posteriori error estimator are defined via a non-linear projection of the residues of the variational equations. Both upper and lower bounds for the approximation error are derived in terms of the components of the a posteriori error estimator. ...

This article challenges the Kripkean interpretation of a posteriori necessities. It will be demonstrated, by an analysis of classic examples, that the modal content of supposed a posteriori necessities is more complicated than the Kripkean line suggests. We will see that further research is needed concerning the a priori principles underlying all a posteriori necessities. In the course of this ...

In this paper, a neural network based ESM/radar track association algorithm is presented. The algorithm consists of a feed-forward neural network and a probability combiner. The neural network classifier is trained using the radar bearing measurements as well as their time stamps to approximate the a posteriori probabilities. The ESM bearing measurements along with their time stamps are fed to ...

In this article, we study the new streamline diffusion finite element for treating the linear second order hyperbolic initial-boundary value problem. We prove a posteriori $ L^2(L^2)$ and error estimates for this method under minimal regularity hypothesis. Test problem of an application of the wave equation in the laser is presented to verify the efficiency and accuracy of the method.

Abstract In a posteriori error analysis, the relationship between and estimator is usually spoiled by so-called oscillation terms, which cannot be bounded error. order to remedy, we devise new approach where has following two properties. First, it dominated error, irrespective of mesh fineness regularity data exact solution. Second, captures in terms part residual that, general, quantified with...

A least-squares mixed finite element (LSMFE) method for the numerical solution of fourth order parabolic problems analyzed and developed in this paper. The Ciarlet-Raviart mixed finite element space is used to approximate. The a posteriori error estimator which is needed in the adaptive refinement algorithm is proposed. The local evaluation of the least-squares functional serves as a posteriori...