A Posteriori L_∞(L_2)+ L_2 (H^ 1)–Error Bounds in Discontinuous Galerkin Methods For Semidiscrete Semilinear Parabolic Interface Problems

YA Sabawi - Baghdad Science Journal, 2021 - bsj.uobaghdad.edu.iq
Baghdad Science Journal, 2021bsj.uobaghdad.edu.iq
The aim of this paper is to derive a posteriori error estimates for semilinear parabolic
interface problems. More specifically, optimal order a posteriori error analysis in the-norm for
semidiscrete semilinear parabolic interface problems is derived by using elliptic
reconstruction technique introduced by Makridakis and Nochetto in (2003). A key idea for
this technique is the use of error estimators derived for elliptic interface problems to obtain
parabolic estimators that are of optimal order in space and time.
The aim of this paper is to derive a posteriori error estimates for semilinear parabolic interface problems. More specifically, optimal order a posteriori error analysis in the - norm for semidiscrete semilinear parabolic interface problems is derived by using elliptic reconstruction technique introduced by Makridakis and Nochetto in (2003). A key idea for this technique is the use of error estimators derived for elliptic interface problems to obtain parabolic estimators that are of optimal order in space and time.
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