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Superconvergent Postprocessing of the Continuous Galerkin Time Stepping Method for Nonlinear Initial Value Problems with Application to Parabolic Problems
A posteriori analysis for space-time, discontinuous in time Galerkin approximations for parabolic equations in a variable domain
Dimitra Antonopoulou and Michael Plexousakis ESAIM: Mathematical Modelling and Numerical Analysis 53(2) 523 (2019) https://doi.org/10.1051/m2an/2018059
Stability analysis and best approximation error estimates of discontinuous time-stepping schemes for the Allen–Cahn equation
Eugenia N. Petropoulou and Michail A. Xenos Springer Optimization and Its Applications, Applications of Nonlinear Analysis 134 611 (2018) https://doi.org/10.1007/978-3-319-89815-5_22
Stability of the ale space-time discontinuous Galerkin method for nonlinear convection-diffusion problems in time-dependent domains
Monika Balázsová, Miloslav Feistauer and Miloslav Vlasák ESAIM: Mathematical Modelling and Numerical Analysis 52(6) 2327 (2018) https://doi.org/10.1051/m2an/2018062
Optimal error estimates for fully discrete Galerkin approximations of semilinear parabolic equations
Recent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equations
Andrea Bonito, Irene Kyza and Ricardo H. Nochetto The IMA Volumes in Mathematics and its Applications, Recent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equations 157 223 (2014) https://doi.org/10.1007/978-3-319-01818-8_10
Error estimates for a FitzHugh–Nagumo parameter-dependent reaction-diffusion system
Konstantinos Chrysafinos, Sotirios P. Filopoulos and Theodosios K. Papathanasiou ESAIM: Mathematical Modelling and Numerical Analysis 47(1) 281 (2013) https://doi.org/10.1051/m2an/2012028
Time-discrete higher order ALE formulations: a priori error analysis
Numerical Mathematics and Advanced Applications 2009
Miloslav Feistauer, Václav Kučera, Karel Najzar and Jaroslava Prokopová Numerical Mathematics and Advanced Applications 2009 325 (2010) https://doi.org/10.1007/978-3-642-11795-4_34
A Space-Time Adaptive Finite Element Algorithm Based on Dual Weighted Residual Methodology for Parabolic Equations