Superconvergence by Steklov averaging in the finite element method

Karel Kolman. "Superconvergence by Steklov averaging in the finite element method." Applicationes Mathematicae 32.4 (2005): 477-488. <http://eudml.org/doc/279537>.

@article{KarelKolman2005,
abstract = {The Steklov postprocessing operator for the linear finite element method is studied. Superconvergence of order 𝓞(h²) is proved for a class of second order differential equations with zero Dirichlet boundary conditions for arbitrary space dimensions. Relations to other postprocessing and averaging schemes are discussed.},
author = {Karel Kolman},
journal = {Applicationes Mathematicae},
keywords = {superconvergence; finite elements; Steklov operator; postprocessing; second order elliptic boundary value problems; numerical experiment; Poisson equation},
language = {eng},
number = {4},
pages = {477-488},
title = {Superconvergence by Steklov averaging in the finite element method},
url = {http://eudml.org/doc/279537},
volume = {32},
year = {2005},
}

TY - JOUR
AU - Karel Kolman
TI - Superconvergence by Steklov averaging in the finite element method
JO - Applicationes Mathematicae
PY - 2005
VL - 32
IS - 4
SP - 477
EP - 488
AB - The Steklov postprocessing operator for the linear finite element method is studied. Superconvergence of order 𝓞(h²) is proved for a class of second order differential equations with zero Dirichlet boundary conditions for arbitrary space dimensions. Relations to other postprocessing and averaging schemes are discussed.
LA - eng
KW - superconvergence; finite elements; Steklov operator; postprocessing; second order elliptic boundary value problems; numerical experiment; Poisson equation
UR - http://eudml.org/doc/279537
ER -