Error estimates for approximations of nonlinear uniformly parabolic equations
نویسندگان
چکیده
منابع مشابه
Error Estimates for Spatially Discrete Approximations of Semilinear Parabolic Equations with Initial Data of Low Regularity
Semidiscrete finite element methods for a semilinear parabolic equation in Rd, d < 3, were considered by Johnson, Larsson, Thomée, and Wahlbin. With h the discretization parameter, it was proved that, for compatible and bounded initial data in Ha, the convergence rate is essentially 0(h2+a) for t positive, and for a = 0 this was seen to be best possible. Here we shall show that for 0 < a < 2 th...
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ژورنال
عنوان ژورنال: Nonlinear Differential Equations and Applications NoDEA
سال: 2014
ISSN: 1021-9722,1420-9004
DOI: 10.1007/s00030-014-0286-x