Adaptive Discontinuous Galerkin Methods for Non-linear Reactive Flows (eBook, PDF)
Murat Uzunca
eBook, PDF

Adaptive Discontinuous Galerkin Methods for Non-linear Reactive Flows (eBook, PDF)

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The focus of this monograph is the development of space-time adaptive methods to solve the convection/reaction dominated non-stationary semi-linear advection diffusion reaction (ADR) equations with internal/boundary layers in an accurate and efficient way. After introducing the ADR equations and discontinuous Galerkin discretization, robust residual-based a posteriori error estimators in space and time are derived. The elliptic reconstruction technique is then utilized to derive the a posteriori error bounds for the fully discrete system and to obtain optimal orders of convergence.As coupled s...

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