An Introduction to Element-Based Galerkin Methods on Tensor-Product Bases: Analysis, Algorithms, and
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- Artikel-Nr.: 10423340
Beschreibung
Introduction.- Motivation and Background.- Overview of Existing Methods.- One-Dimensional Problems.- Interpolation in One Dimension.- Numerical Integration in One Dimension.- 1D Continuous Galerkin Method for Hyperbolic Equations.- 1D Discontinuous Galerkin Methods for Hyperbolic Equations.- 1D Unified Continuous and Discontinuous Galerkin Methods for
Systems of Hyperbolic Equations.- 1D Continuous Galerkin Methods for Elliptic Equations.- 1D Discontinuous Galerkin Methods for Elliptic Equations.- Two-Dimensional Problems.- Interpolation in Multiple Dimensions.- Numerical Integration in Multiple Dimensions.- 2D Continuous Galerkin Methods for Elliptic Equations.- 2D Discontinuous Galerkin Methods for Elliptic Equations.- 2D Unified Continuous and Discontinuous Galerkin Methods for Elliptic Equations.- 2D Continuous Galerkin Methods for Hyperbolic Equations.- 2D Discontinuous Galerkin Methods for Hyperbolic Equations.- 2D Continuous/Discontinuous Galerkin Methods for Hyperbolic Equations.- Advanced Topics.- Stabilization of High-Order Methods.- Adaptive Mesh Refinement.- Time Integration.- 1D Hybridizable Discontinuous Galerkin Method.- Classification of Partial Differential Equations and Vector Notation.- Jacobi Polynomials.- Data Structures.
Systems of Hyperbolic Equations.- 1D Continuous Galerkin Methods for Elliptic Equations.- 1D Discontinuous Galerkin Methods for Elliptic Equations.- Two-Dimensional Problems.- Interpolation in Multiple Dimensions.- Numerical Integration in Multiple Dimensions.- 2D Continuous Galerkin Methods for Elliptic Equations.- 2D Discontinuous Galerkin Methods for Elliptic Equations.- 2D Unified Continuous and Discontinuous Galerkin Methods for Elliptic Equations.- 2D Continuous Galerkin Methods for Hyperbolic Equations.- 2D Discontinuous Galerkin Methods for Hyperbolic Equations.- 2D Continuous/Discontinuous Galerkin Methods for Hyperbolic Equations.- Advanced Topics.- Stabilization of High-Order Methods.- Adaptive Mesh Refinement.- Time Integration.- 1D Hybridizable Discontinuous Galerkin Method.- Classification of Partial Differential Equations and Vector Notation.- Jacobi Polynomials.- Data Structures.
Eigenschaften
Breite: | 162 |
Gewicht: | 1020 g |
Höhe: | 38 |
Länge: | 243 |
Seiten: | 559 |
Sprachen: | Englisch |
Autor: | Francis X. Giraldo |
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