Duality-based two-level error estimation for time-dependent PDEs: application to linear and nonlinear parabolic equations

?im?ek, G.; Wu, X.; van der Zee, K.G.; van Brummelen, E.H.

doi:10.1016/j.cma.2014.11.019

All Outputs (23)

An abstract analysis of optimal goal-oriented adaptivity (2016)
Journal Article

We provide an abstract framework for optimal goal-oriented adaptivity for finite element methods and boundary element methods in the spirit of (Carstensen, Feischl, Page, and Praetorius, Axioms of adaptivity, Comput. Math. Appl., 67 (2014), pp. 1195–... Read More about An abstract analysis of optimal goal-oriented adaptivity.

Formal asymptotic limit of a diffuse-interface tumor-growth model (2015)
Journal Article

We consider a diffuse-interface tumor-growth model which has the form of a phase-field system. We characterize the singular limit of this problem. More precisely, we formally prove that as the coefficient of the reaction term tends to infinity, the s... Read More about Formal asymptotic limit of a diffuse-interface tumor-growth model.

Duality-based two-level error estimation for time-dependent PDEs: application to linear and nonlinear parabolic equations (2014)
Journal Article

We introduce a duality-based two-level error estimator for linear and nonlinear time-dependent problems. The error measure can be a space-time norm, energy norm, final-time error or other error related functional. The general methodology is developed... Read More about Duality-based two-level error estimation for time-dependent PDEs: application to linear and nonlinear parabolic equations.