On some a posteriori error estimation results for the method of lines

Segeth, Karel, and Šolín, Pavel. "On some a posteriori error estimation results for the method of lines." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics AS CR, 2006. 229-234. <http://eudml.org/doc/271376>.

@inProceedings{Segeth2006,
abstract = {The paper is an attempt to present an (incomplete) historical survey of some basic results of residual type estimation procedures from the beginning of their development through contemporary results to future prospects. Recently we witness a rapidly increasing use of the $hp$-FEM which is due to the well-established theory. However, the conventional a posteriori error estimates (in the form of a single number per element) are not enough here, more complex estimates are needed, and this can be the way to obtain them.},
author = {Segeth, Karel, Šolín, Pavel},
booktitle = {Programs and Algorithms of Numerical Mathematics},
location = {Prague},
pages = {229-234},
publisher = {Institute of Mathematics AS CR},
title = {On some a posteriori error estimation results for the method of lines},
url = {http://eudml.org/doc/271376},
year = {2006},
}

TY - CLSWK
AU - Segeth, Karel
AU - Šolín, Pavel
TI - On some a posteriori error estimation results for the method of lines
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2006
CY - Prague
PB - Institute of Mathematics AS CR
SP - 229
EP - 234
AB - The paper is an attempt to present an (incomplete) historical survey of some basic results of residual type estimation procedures from the beginning of their development through contemporary results to future prospects. Recently we witness a rapidly increasing use of the $hp$-FEM which is due to the well-established theory. However, the conventional a posteriori error estimates (in the form of a single number per element) are not enough here, more complex estimates are needed, and this can be the way to obtain them.
UR - http://eudml.org/doc/271376
ER -