Solution of a boundary value problem is often realized as the application of the Galerkin method to the weak formulation of given problem. It is possible to generate a trial space by means of splines or by means of functions that are not polynomial and have compact support. We restrict our attention only to RKP shape functions and compactly supported wavelets. Common features and comparison of approximation properties of these functions will be studied in the contribution.
@article{702720,
title = {Shape functions and wavelets - tools of numerical approximation},
booktitle = {Programs and Algorithms of Numerical Mathematics},
series = {GDML\_Books},
publisher = {Institute of Mathematics AS CR},
address = {Prague},
year = {2013},
pages = {149-154},
url = {http://dml.mathdoc.fr/item/702720}
}
Mošová, Vratislava. Shape functions and wavelets - tools of numerical approximation, dans Programs and Algorithms of Numerical Mathematics, GDML_Books, (2013), pp. 149-154. http://gdmltest.u-ga.fr/item/702720/