Adaptive Discontinuous Galerkin Methods for Non-linear - download pdf or read online

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By Murat Uzunca

ISBN-10: 3319301292

ISBN-13: 9783319301297

The concentration of this monograph is the advance of space-time adaptive ways 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 mistakes bounds for the totally discrete process and to acquire optimum orders of convergence.
As coupled floor and subsurface circulation over huge area and time scales is defined through (ADR) equation the tools defined during this booklet are of excessive value in lots of parts of Geosciences together with oil and gasoline restoration, groundwater illness 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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