A posteriori error estimates for fully discrete fractional-step ϑ-approximations for parabolic equations
Authors
Karakatsani, FotiniAffiliation
University of ChesterPublication Date
2015-07-22
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We derive optimal order a posteriori error estimates for fully discrete approximations of initial and boundary value problems for linear parabolic equations. For the discretisation in time we apply the fractional-step #-scheme and for the discretisation in space the finite element method with finite element spaces that are allowed to change with time.Citation
Karakatsani, F. (2015). A posteriori error estimates for fully discrete fractional-step ϑ-approximations for parabolic equations. IMA Journal of Numerical Analysis, 36(3), 1334-1361. http:// doi:10.1093/imanum/drv035Publisher
Oxford University PressAdditional Links
http://imanum.oxfordjournals.org/lookup/doi/10.1093/imanum/drv035http://imajna.oxfordjournals.org/cgi/reprint/drv035? ijkey=bXLZBoCgxImq0GD&keytype=ref
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enDescription
This is a pre-copyedited, author-produced PDF of an article accepted for publication in IMA Journal of Numerical Analysis following peer review. The version of record A posteriori error estimates for fully discrete fractional-step ϑ-approximations for parabolic equations is available online at:http://imajna.oxfordjournals.org/content/early/2015/07/20/imanum.drv035.abstract?sid=ab7d6b71-cb35-42ed-896f-f009b1fdc99eISSN
0272-4979EISSN
1464-3642ae974a485f413a2113503eed53cd6c53
10.1093/imanum/drv035
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