Adaptive Discontinuous Galerkin Methods for Non-linear by Murat Uzunca

By Murat Uzunca

The concentration of this monograph is the improvement of space-time adaptive tips on how to remedy the convection/reaction ruled non-stationary semi-linear advection diffusion response (ADR) equations with internal/boundary layers in a correct and effective manner.  After introducing the ADR equations and discontinuous Galerkin discretization, strong residual-based a posteriori errors estimators in area and time are derived. The elliptic reconstruction approach is then applied to derive the a posteriori errors bounds for the totally discrete method and to acquire optimum orders of convergence.
As coupled floor and subsurface circulate over huge area and time scales is defined through (ADR) equation the equipment defined during this publication are of excessive value in lots of parts of Geosciences together with oil and fuel restoration, groundwater illness and sustainable use of groundwater assets, storing greenhouse gases or radioactive waste within the subsurface.

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