A Posteriori Error Estimates for the Two-Step Backward Differentiation Formula Method for Parabolic Equations
Loading...
Date
Authors
Akrivis, G.
Chatzipantelidis, P.
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Type
Type of the conference item
Journal type
peer reviewed
Educational material type
Conference Name
Journal name
Siam Journal on Numerical Analysis
Book name
Book series
Book edition
Alternative title / Subtitle
Description
We derive optimal order residual-based a posteriori error estimates for time discretizations by the two-step backward differentiation formula (BDF) method for linear parabolic equations. Appropriate reconstructions of the approximate solution play a key role in the analysis. To utilize the BDF method we employ one step by both the trapezoidal method or the backward Euler scheme. Our a posteriori error estimates are of optimal order for the former choice and suboptimal for the latter. Simple numerical experiments illustrate this behavior.
Description
Keywords
parabolic equations, two-step backward differentiation formula method, residual, two-step backward differentiation formula reconstruction, a posteriori error analysis, crank-nicolson method
Subject classification
Citation
Link
<Go to ISI>://000277836400006
http://epubs.siam.org/doi/abs/10.1137/090756995
http://epubs.siam.org/doi/abs/10.1137/090756995
Language
en
Publishing department/division
Advisor name
Examining committee
General Description / Additional Comments
Institution and School/Department of submitter
Πανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Χημείας