Property-preserving Numerical Schemes For Conservation Laws - Hardcover

Kuzmin, Dmitri; Hajduk, Hennes

Hardcover

ISBN 10: 9811278180 ISBN 13: 9789811278181

Verlag: WSPC, 2023

Inhaltsangabe

High-order numerical methods for hyperbolic conservation laws do not guarantee the validity of constraints that physically meaningful approximations are supposed to satisfy. The finite volume and finite element schemes summarized in this book use limiting techniques to enforce discrete maximum principles and entropy inequalities. Spurious oscillations are prevented using artificial viscosity operators and/or essentially nonoscillatory reconstructions. An introduction to classical nonlinear stabilization approaches is given in the simple context of one-dimensional finite volume discretizations. Subsequent chapters of Part I are focused on recent extensions to continuous and discontinuous Galerkin methods. Many of the algorithms presented in these chapters were developed by the authors and their collaborators. Part II gives a deeper insight into the mathematical theory of property-preserving numerical schemes. It begins with a review of the convergence theory for finite volume methods and ends with analysis of algebraic flux correction schemes for finite elements. In addition to providing ready-to-use algorithms, this text explains the design principles behind such algorithms and shows how to put theory into practice. Although the book is based on lecture notes written for an advanced graduate-level course, it is also aimed at senior researchers who develop and analyze numerical methods for hyperbolic problems.

Details zur Ausgabe

• Verlag: WSPC
• Erscheinungsdatum: 2023
• Sprache: Englisch
• ISBN 10: 9811278180
• ISBN 13: 9789811278181
• Einband: Tapa dura
• Anzahl der Seiten: 490
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar