A-posteriori error estimation and adaptivity for nonlinear parabolic equations using IMEX-Galerkin discretization of primal and dual equations

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A-posteriori error estimation and adaptivity for nonlinear parabolic equations using IMEX-Galerkin discretization of primal and dual equations

While many methods exist to discretize nonlinear time-dependent partial differential equations (PDEs), the rigorous estimation and adaptive control of their discretization errors remains challenging. In this paper, we present a methodology for duality-based a posteriori error estimation for nonlinea...

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Bibliographic Details
Main Authors:	Wu, X., van der Zee, Kristoffer George, Şimşek, G., van Brummelen, E.H.
Format:	Article
Language:	English
Published:	Society for Industrial and Applied Mathematics 2018
Subjects:	A posteriori error estimate Duality-based error estimate IMEX scheme Implicit-explicit schemes Space-time error Adaptivity Parabolic PDE
Online Access:	https://eprints.nottingham.ac.uk/55020/

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