7 research outputs found
Superconvergence of a nonconforming brick element for the quad-curl problem
This short note shows the superconvergence of an
-nonconforming brick element very recently
introduced in [17] for the quad-curl problem. The supercloseness is based on
proper modifications for both the interpolation and the discrete formulation,
leading to an superclose order in the discrete
norm. Moreover, we propose a suitable
postprocessing method to ensure the global superconvergence. Numerical results
verify our theory
MS FT-2-2 7 Orthogonal polynomials and quadrature: Theory, computation, and applications
Quadrature rules find many applications in science and engineering. Their analysis is a classical area of applied mathematics and continues to attract considerable attention. This seminar brings together speakers with expertise in a large variety of quadrature rules. It is the aim of the seminar to provide an overview of recent developments in the analysis of quadrature rules. The computation of error estimates and novel applications also are described
Generalized averaged Gaussian quadrature and applications
A simple numerical method for constructing the optimal generalized averaged Gaussian quadrature formulas will be presented. These formulas exist in many cases in which real positive GaussKronrod formulas do not exist, and can be used as an adequate alternative in order to estimate the error of a Gaussian rule. We also investigate the conditions under which the optimal averaged Gaussian quadrature formulas and their truncated variants are internal