Download e-book for iPad: Adaptive Discontinuous Galerkin Methods for Non-linear by Murat Uzunca

By Murat Uzunca

ISBN-10: 3319301292

ISBN-13: 9783319301297

The concentration of this monograph is the advance of space-time adaptive the way to remedy the convection/reaction ruled non-stationary semi-linear advection diffusion response (ADR) equations with internal/boundary layers in a correct and effective method.  After introducing the ADR equations and discontinuous Galerkin discretization, powerful residual-based a posteriori blunders estimators in house and time are derived. The elliptic reconstruction procedure is then applied to derive the a posteriori mistakes bounds for the totally discrete procedure and to procure optimum orders of convergence.
As coupled floor and subsurface stream over huge house and time scales is defined by way of (ADR) equation the equipment defined during this booklet 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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Adaptive Discontinuous Galerkin Methods for Non-linear Reactive Flows (Geosystems Mathematics) by Murat Uzunca

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