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A posteriori error control for fully discrete Crank–Nicolson schemes

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posted on 2023-06-08, 14:58 authored by E Bänsch, F Karakatsani, Charalambos MakridakisCharalambos Makridakis
We derive residual-based a posteriori error estimates of optimal order for fully discrete approximations for linear parabolic problems. The time discretization uses the Crank--Nicolson method, and the space discretization uses finite element spaces that are allowed to change in time. The main tool in our analysis is the comparison with an appropriate reconstruction of the discrete solution, which is introduced in the present paper.

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Publication status

  • Published

File Version

  • Published version

Journal

SIAM Journal on Numerical Analysis

ISSN

0036-1429

Publisher

Society for Industrial and Applied Mathematics

Issue

6

Volume

50

Page range

2845-2872

Department affiliated with

  • Mathematics Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2013-05-21

First Open Access (FOA) Date

2013-05-21

First Compliant Deposit (FCD) Date

2013-05-21

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