On the a posteriori estimates for inverse operators of linear parabolic equations with applications to the numerical enclosure of solutions for nonlinear problems

We consider the guaranteed a posteriori estimates for the inverse parabolic operators with homogeneous initial-boundary conditions. Our estimation technique uses a full-discrete numerical scheme, which is based on the Galerkin method with an interpolation in time by using the fundamental solution fo...

Full description

Bibliographic Details

Published in:	Numerische Mathematik Vol. 126; no. 4; pp. 679 - 701
Main Authors:	Kinoshita, Takehiko, Kimura, Takuma, Nakao, Mitsuhiro T.
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2014
Subjects:	Mathematical and Computational Engineering Mathematical and Computational Physics Mathematical Methods in Physics Mathematics Mathematics and Statistics Numerical Analysis Numerical and Computational Physics Simulation Theoretical 35K20 65M15 65M60
ISSN:	0029-599X, 0945-3245
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!