A Priori Error Estimates for Approximation of Parabolic Boundary Value Problems

Citeable URL: https://ir.library.oregonstate.edu/concern/articles/tq57nr62k

Descriptions

Attribute Name	Values
Creator	Showalter, R. E.
Abstract	The L²-error estimates are established for the continuous time Faedo-Galerkin approximation to solutions of a linear parabolic initial boundary value problem that has elliptic part of order 2m. Properties of analytic semigroups are used to obtain these estimates directly from the L²-estimates for the corresponding steady state elliptic problem under hypotheses only on the data in the problem (initial condition, elliptic operator).
Resource Type	Article
DOI	https://doi.org/10.1137/0712036
Date Available	2014-11-05T21:39:20+00:00
Date Issued	1975-06
Citation	Showalter, R. E. (1975). A Priori Error Estimates for Approximation of Parabolic Boundary Value Problems. SIAM Journal on Numerical Analysis, 12(3), 456-463. doi:10.1137/0712036
Journal Title	SIAM Journal on Numerical Analysis
Journal Volume	12
Journal Issue/Number	3
Academic Affiliation	Mathematics
Rights Statement	Copyright Not Evaluated
Funding Statement (additional comments about funding)	This work was supported in part by the National Science Foundation under Grant GP-34261.
Publisher	Society for Industrial and Applied Mathematics
Peer Reviewed	Yes
Language	English [eng]
Replaces	http://hdl.handle.net/1957/53690