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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Adaptive Discontinuous Galerkin Methods for Non-Linear Reactive Flows

Adaptive Discontinuous Galerkin Methods for Non-Linear Reactive Flows

Uzunca, Murat

Paperback

Series: Lecture Notes in Geosystems Mathematics and Computing

General MathematicsPhysics

ISBN10: 3319301292
ISBN13: 9783319301297
Publisher: Springer Nature
Published: May 24 2016
Pages: 105
Weight: 0.38
Height: 0.24 Width: 6.14 Depth: 9.21
Language: English
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 surface and subsurface flow over large space and time scales is described by (ADR) equation the methods described in this book are of high importance in many areas of Geosciences including oil and gas recovery, groundwater contamination and sustainable use of groundwater resources, storing greenhouse gases or radioactive waste in the subsurface.

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