| Item type | Current location | Collection | Call number | Copy number | Status | Date due | Barcode |
|---|---|---|---|---|---|---|---|
| E-Books | Biblioteca da FCTUNL Online | Não Ficção | QA297. FCT 97197 (Browse shelf) | 1 | Available |
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| QA297. FCT 97020 Numerical approximation of partial differential equations | QA297. FCT 97080 Multivariable dynamic calculus on time scales | QA297. FCT 97154 Isogeometric analysis | QA297. FCT 97197 Adaptive discontinuous Galerkin methods for non-linear reactive flows | QA297. FCT 97289 Elementary numerical mathematics for programmers and engineers | QA297. FCT 97308 Iterative solution of large sparse systems of equations | QA297. FCT 97434 Recent advances in mathematical sciences |
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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 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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