# A posteriori error estimates for parabolic differential systems solved by the finite element method of lines

Applications of Mathematics (1994)

- Volume: 39, Issue: 6, page 415-443
- ISSN: 0862-7940

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topSegeth, Karel. "A posteriori error estimates for parabolic differential systems solved by the finite element method of lines." Applications of Mathematics 39.6 (1994): 415-443. <http://eudml.org/doc/32895>.

@article{Segeth1994,

abstract = {Systems of parabolic differential equations are studied in the paper. Two a posteriori error estimates for the approximate solution obtained by the finite element method of lines are presented. A statement on the rate of convergence of the approximation of error by estimator to the error is proved.},

author = {Segeth, Karel},

journal = {Applications of Mathematics},

keywords = {a posteriori error estimate; system of parabolic equations; finite element method; method of lines; method of lines; Schwarz inequality; local error indicator; a posteriori error estimates; finite element; system of parabolic equations},

language = {eng},

number = {6},

pages = {415-443},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {A posteriori error estimates for parabolic differential systems solved by the finite element method of lines},

url = {http://eudml.org/doc/32895},

volume = {39},

year = {1994},

}

TY - JOUR

AU - Segeth, Karel

TI - A posteriori error estimates for parabolic differential systems solved by the finite element method of lines

JO - Applications of Mathematics

PY - 1994

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 39

IS - 6

SP - 415

EP - 443

AB - Systems of parabolic differential equations are studied in the paper. Two a posteriori error estimates for the approximate solution obtained by the finite element method of lines are presented. A statement on the rate of convergence of the approximation of error by estimator to the error is proved.

LA - eng

KW - a posteriori error estimate; system of parabolic equations; finite element method; method of lines; method of lines; Schwarz inequality; local error indicator; a posteriori error estimates; finite element; system of parabolic equations

UR - http://eudml.org/doc/32895

ER -

## References

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