A Posteriori Error Analysis In Finite Element Approximation For Fully Discrete Semilinear Parabolic Problems
Download and Read A Posteriori Error Analysis In Finite Element Approximation For Fully Discrete Semilinear Parabolic Problems full books in PDF, ePUB, and Kindle. Read online free A Posteriori Error Analysis In Finite Element Approximation For Fully Discrete Semilinear Parabolic Problems ebook anywhere anytime directly on your device. We cannot guarantee that every ebooks is available!
A Posteriori Error Analysis in Finite Element Approximation for Fully Discrete Semilinear Parabolic Problems
Author | : Younis Abid Abid Sabawi |
Publisher | : |
Total Pages | : 0 |
Release | : 2019 |
Genre | : Computers |
ISBN | : |
Download A Posteriori Error Analysis in Finite Element Approximation for Fully Discrete Semilinear Parabolic Problems Book in PDF, Epub and Kindle
This Chapter aims to investigate the error estimation of numerical approximation to a class of semilinear parabolic problems. More specifically, the time discretization uses the backward Euler Galerkin method and the space discretization uses the finite element method for which the meshes are allowed to change in time. The key idea in our analysis is to adapt the elliptic reconstruction technique, introduced by Makridakis and Nochetto 2003, enabling us to use the a posteriori error estimators derived for elliptic models and to obtain optimal order in L,àûH1 for Lipschitz and non-Lipschitz nonlinearities. In this Chapter, some challenges will be addressed to deal with nonlinear term by employing a continuation argument.
A Posteriori Error Analysis in Finite Element Approximation for Fully Discrete Semilinear Parabolic Problems Related Books
Pages: 0
Pages: 573
Pages: 310
Pages: 318
Pages: 62