H^(-1) Galerkin-collocation method with quadratures for two point boundary value problems

@article{ZbigniewLeyk1989,
abstract = {In the paper, the H^(-1)Galerkin-collocation method with quadratures (instead of integrals) for two point boundary value problems is considered. Approximate solution is a piecewise polynomial of degree r. It is proved that the method is stable and the error in L2-norm is of order O(h^(r+1)) if the used quadrature is exact for polynomial of degree not greater than r+1.},
author = {Zbigniew Leyk},
journal = {Mathematica Applicanda},
keywords = {Finite elements, Rayleigh-Ritz, Galerkin and collocation; Boundary value problems},
language = {eng},
number = {31},
pages = {null},
title = {H^(-1) Galerkin-collocation method with quadratures for two point boundary value problems},
url = {http://eudml.org/doc/293339},
volume = {17},
year = {1989},
}

TY - JOUR
AU - Zbigniew Leyk
TI - H^(-1) Galerkin-collocation method with quadratures for two point boundary value problems
JO - Mathematica Applicanda
PY - 1989
VL - 17
IS - 31
SP - null
AB - In the paper, the H^(-1)Galerkin-collocation method with quadratures (instead of integrals) for two point boundary value problems is considered. Approximate solution is a piecewise polynomial of degree r. It is proved that the method is stable and the error in L2-norm is of order O(h^(r+1)) if the used quadrature is exact for polynomial of degree not greater than r+1.
LA - eng
KW - Finite elements, Rayleigh-Ritz, Galerkin and collocation; Boundary value problems
UR - http://eudml.org/doc/293339
ER -