| Autor: |
Wang, Wansheng, Yi, Lijun |
| Předmět: |
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| Zdroj: |
Mathematics of Computation; Nov2022, Vol. 91 Issue 338, p2609-2643, 35p |
| Abstrakt: |
We derive optimal order a posteriori error estimates for fully discrete approximations of linear parabolic delay differential equations (PDDEs), in the L^\infty (L^2)-norm. For the discretization in time we use Backward Euler and Crank-Nicolson methods, while for the space discretization we use standard conforming finite element methods. A novel space-time reconstruction operator is introduced, which is a generalization of the elliptic reconstruction operator, and we call it as delay-dependent elliptic reconstruction operator. The related a posteriori error estimates for the delay-dependent elliptic reconstruction play key roles in deriving optimal order a posteriori error estimates in the L^\infty (L^2)-norm. Numerical experiments verify and complement our theoretical results. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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