A posteriori error estimation and adaptivity in the method of lines with mixed finite elements

Jan Brandts

Applications of Mathematics (1999)

  • Volume: 44, Issue: 6, page 407-419
  • ISSN: 0862-7940

Abstract

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We will investigate the possibility to use superconvergence results for the mixed finite element discretizations of some time-dependent partial differential equations in the construction of a posteriori error estimators. Since essentially the same approach can be followed in two space dimensions, we will, for simplicity, consider a model problem in one space dimension.

How to cite

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Brandts, Jan. "A posteriori error estimation and adaptivity in the method of lines with mixed finite elements." Applications of Mathematics 44.6 (1999): 407-419. <http://eudml.org/doc/33039>.

@article{Brandts1999,
abstract = {We will investigate the possibility to use superconvergence results for the mixed finite element discretizations of some time-dependent partial differential equations in the construction of a posteriori error estimators. Since essentially the same approach can be followed in two space dimensions, we will, for simplicity, consider a model problem in one space dimension.},
author = {Brandts, Jan},
journal = {Applications of Mathematics},
keywords = {superconvergence; method of lines; mixed finite elements; a posteriori error estimation; adaptive time-stepping; adaptive refinement; superconvergence; method of lines; mixed finite elements; a posteriori error estimation; adaptive time-stepping; adaptive refinement},
language = {eng},
number = {6},
pages = {407-419},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A posteriori error estimation and adaptivity in the method of lines with mixed finite elements},
url = {http://eudml.org/doc/33039},
volume = {44},
year = {1999},
}

TY - JOUR
AU - Brandts, Jan
TI - A posteriori error estimation and adaptivity in the method of lines with mixed finite elements
JO - Applications of Mathematics
PY - 1999
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 44
IS - 6
SP - 407
EP - 419
AB - We will investigate the possibility to use superconvergence results for the mixed finite element discretizations of some time-dependent partial differential equations in the construction of a posteriori error estimators. Since essentially the same approach can be followed in two space dimensions, we will, for simplicity, consider a model problem in one space dimension.
LA - eng
KW - superconvergence; method of lines; mixed finite elements; a posteriori error estimation; adaptive time-stepping; adaptive refinement; superconvergence; method of lines; mixed finite elements; a posteriori error estimation; adaptive time-stepping; adaptive refinement
UR - http://eudml.org/doc/33039
ER -

References

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