Download PDF by Murat Uzunca: Adaptive Discontinuous Galerkin Methods for Non-linear

By Murat Uzunca

The concentration of this monograph is the improvement of space-time adaptive ways to clear up the convection/reaction ruled non-stationary semi-linear advection diffusion response (ADR) equations with internal/boundary layers in a correct and effective approach.  After introducing the ADR equations and discontinuous Galerkin discretization, powerful residual-based a posteriori errors estimators in area and time are derived. The elliptic reconstruction strategy is then applied to derive the a posteriori blunders bounds for the absolutely discrete method and to procure optimum orders of convergence.
As coupled floor and subsurface circulation over huge area and time scales is defined by means of (ADR) equation the tools defined during this publication are of excessive significance in lots of components of Geosciences together with oil and fuel restoration, groundwater infection and sustainable use of groundwater assets, storing greenhouse gases or radioactive waste within the subsurface.

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Adaptive Discontinuous Galerkin Methods for Non-linear Reactive Flows (Geosystems Mathematics) by Murat Uzunca


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