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Algebraic Multigrid for the Multi-Ion Transport and Reaction Model - a Physics-Aware Approach
Annotation
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin :
Logos Verlag Berlin,
2013.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Intro; 1 Introduction; 1.1 Context; 1.2 Main Focus and Structure; 2 The Multi-Ion Transport and Reaction Model (MITReM); 2.1 Electrochemical Background; 2.2 Homogeneous Reactions; 2.3 Basic System; 2.4 Boundary Conditions; 2.5 Existence and Uniqueness of Solutions; 2.6 Discretization and Linearization; 3 Algebraic Multigrid (AMG) for Convection-Dominated Flow Problems; 3.1 AMG; 3.2 PAMG; 3.3 AMG for Convection-Dominated Flow Problems; 4 The Reordering Framework; 4.1 Terminology; 4.2 State-of-the-Art Reordering in the Context of AMG; 4.3 Basic Matrix; 4.4 Reduction Techniques
- 4.5 Sorting Algorithms4.6 Scalar Example; 4.7 Reordering Framework for the MITReM; 5 The Heuristic Peclet Number; 5.1 Heuristic Peclet Number for Scalar Equations; 5.2 Heuristic Peclet Number for Systems of PDEs; 6 A Physics-Aware Point-Based AMG Approach (PAMG) for the Migration-Diffusion System; 6.1 The Migration-Diffusion System; 6.2 State-of-the-Art PAMG Approaches; 6.3 The Physics-Aware Primary Matrix; 6.4 PAMG for a Locally Violated Peclet Condition; 6.5 The Final Physics-Aware PAMG Approach; 7 A Physics-Aware PAMG Approach for the MITReM; 7.1 The MITReM System
- 7.2 State-of-the-Art PAMG for the MITReM7.3 Derivation of Efficient and Robust PAMG Approaches; 7.4 PAMG for the MITReM; 7.5 Conclusion; 8 Conclusions and Future Work; Bibliography; List of Figures; List of Tables