Mathematical Foundation of the Boundary Integro-differential Equation Method - Couverture rigide

Han, Houde; Yin, Dongsheng

Couverture rigide

ISBN 10 : 9819510872 ISBN 13 : 9789819510870

Editeur : Springer Verlag, Singapore, 2026

Synopsis

The book focuses on  the mathematical foundations of boundary integro-differential equation method, with a primary focus on reducing the hypersingular integrals in traditional boundary integral equations into boundary integro-differential equations with weak singularities. It briefly introduces the theory of distributions, while the boundary integral equations method is grounded in the fundamental solutions of linear partial differential equations, hence a relatively detailed exposition of the fundamental solutions of differential equations is also provided. In the subsequent chapters, the authors sequentially discuss the boundary integro-differential equation methods and theories for Laplace equation, Helmholtz equation, Navier equations, Stokes equations, among others. Furthermore, the book addresses the boundary integro-differential equation method for certain nonlinear problems, such as thermal radiation, variational inequalities, and Steklov eigenvalue problems. Lastly, it explores the symmetric coupling issues between finite element and boundary element methods.

Détails de l'édition

• Éditeur: Springer Verlag, Singapore
• Date d'édition: 2026
• Langue: anglais
• ISBN 10: 9819510872
• ISBN 13: 9789819510870
• Reliure: Relié
• Nombre de pages: 320
• Coordonnées du fabricant: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Allemagne