A Priori $L_2 $ Error Estimates for Galerkin Approximations to Parabolic Partial Differential Equations
Author(s) -
Mary F. Wheeler
Publication year - 1973
Publication title -
siam journal on numerical analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.78
H-Index - 134
eISSN - 1095-7170
pISSN - 0036-1429
DOI - 10.1137/0710062
Subject(s) - mathematics , galerkin method , parabolic partial differential equation , mathematical analysis , nonlinear system , partial differential equation , elliptic partial differential equation , discontinuous galerkin method , a priori and a posteriori , boundary value problem , finite element method , philosophy , physics , epistemology , thermodynamics , quantum mechanics
summary:One parabolic integrodifferential problem in the abstract real Hilbert spaces is studied in this paper. The semidiscrete and full discrete approximate solution is defined and the error estimate of Rothe's function in some function spaces is established
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