Three ways of interpolation on finite elements

Šolín, Pavel, and Segeth, Karel. "Three ways of interpolation on finite elements." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics AS CR, 2004. 230-241. <http://eudml.org/doc/271341>.

@inProceedings{Šolín2004,
abstract = {Interpolation on finite elements usually occurs in a Hilbert space setting, which means that interpolation techniques involving orthogonal projection are an alternative for the traditional Lagrange nodal interpolation schemes. In addition to the Lagrange interpolation, this paper discusses the global orthogonal projection and the projection-based interpolation. These techniques are compared from the point of view of quality, efficiency, sensitivity to input parameters and other aspects. Local optimality result for the projection-based interpolation is presented.},
author = {Šolín, Pavel, Segeth, Karel},
booktitle = {Programs and Algorithms of Numerical Mathematics},
location = {Prague},
pages = {230-241},
publisher = {Institute of Mathematics AS CR},
title = {Three ways of interpolation on finite elements},
url = {http://eudml.org/doc/271341},
year = {2004},
}

TY - CLSWK
AU - Šolín, Pavel
AU - Segeth, Karel
TI - Three ways of interpolation on finite elements
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2004
CY - Prague
PB - Institute of Mathematics AS CR
SP - 230
EP - 241
AB - Interpolation on finite elements usually occurs in a Hilbert space setting, which means that interpolation techniques involving orthogonal projection are an alternative for the traditional Lagrange nodal interpolation schemes. In addition to the Lagrange interpolation, this paper discusses the global orthogonal projection and the projection-based interpolation. These techniques are compared from the point of view of quality, efficiency, sensitivity to input parameters and other aspects. Local optimality result for the projection-based interpolation is presented.
UR - http://eudml.org/doc/271341
ER -