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Duality-based two-level error estimation for time-dependent PDEs: application to linear and nonlinear parabolic equations (2014)
Journal Article
Şimşek, G., Wu, X., van der Zee, K., & van Brummelen, E. (2015). Duality-based two-level error estimation for time-dependent PDEs: application to linear and nonlinear parabolic equations. Computer Methods in Applied Mechanics and Engineering, 288, https://doi.org/10.1016/j.cma.2014.11.019

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.