Adaptive Discontinuous Galerkin Methods for Non-linear Reactive Flows

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 dis...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Uzunca, Murat (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Birkhäuser, 2016.
Edición:1st ed. 2016.
Colección:Lecture Notes in Geosystems Mathematics and Computing,
Temas:
Numerical analysis.
Differential equations.
Geophysics.
Numerical Analysis.
Differential Equations.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 1 INTRODUCTION
  • 1.1 Geological and computational background
  • 1.2 Outline
  • 2 DISCONTINUOUS GALERKIN METHODS
  • 2.1 Preliminaries
  • 2.2 Construction of IPG Methods
  • 2.3 Computation Tools for Integral Terms
  • 2.4 Effect of Penalty Parameter
  • 2.5 Problems with Convection
  • 3 ELLIPTIC PROBLEMS WITH ADAPTIVITY
  • 3.1 Model Elliptic Problem
  • 3.2 Adaptivity
  • 3.3 Solution of Linearized Systems
  • 3.4 Comparison with Galerkin Least Squares FEM (GLSFEM)
  • 3.5 Numerical Examples
  • 4 PARABOLIC PROBLEMS WITH TIME-SPACE ADAPTIVITY
  • 4.1 Preliminaries and Model Equation
  • 4.2 Semi-Discrete and Fully Discrete Formulations
  • 4.3 Time-Space Adaptivity for Non-Stationary Problems
  • 4.4 Solution of Fully Discrete System
  • 4.5 Numerical Examples.-REFERENCES. .

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