Defect correction from a Galerkin viewpoint

- 1 - Defect Correction from a Galerkin Viewpoint

We consider the numerical solution of systems of nonlinear two point boundary value problems by Galerkin's method. An initial solution is computed with piecewise linear approximating functions and this is then improved by using higher—order piecewise polynomials to compute defect corrections. This technique, including numerical integration, is justified by typical Galerkin arguments and propert...

Superconvergent Defect Correction Algorithms

In this paper we discuss several variants of the acceleration technique known as Iterated Defect Correction (IDeC) for the numerical solution of initial value problems for ODEs. A first approximation, computed by a low order basic method, is iteratively improved to obtain higher order solutions. We propose new versions of the IDeC algorithm with maximal achievable (super-)convergence order twic...

Defect Correction for Boussinesq Flow

A Semantic Approach to Urban Graffiti from Semiotics Viewpoint

City is the most complicated and tangible creature of man. There is a critical mutual communicationbetween human and city; and the effect of one’ living environment is beyond question. Graffiti is a new urbanphenomenon, which has drawn attention in light of its connection with protestation culture and street art. Thanks tosymbolism of graffiti, the artists have added mysterious aspects to their...

Plagiarism: a Viewpoint from India