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Mathematical Foundation of the Boundary Integro-Differential Equation Method / Houde Han, Dongsheng Yin

By: Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Publisher: Singapore : Springer Nature, 2026Description: 1 Online-Ressource(XV, 305 p. 3 illus.)ISBN:
  • 9789819510887
Subject(s): Additional physical formats: 9789819510870 | 9789819510894 | 9789819510900 | Erscheint auch als: 9789819510870 Druck-Ausgabe | Erscheint auch als: 9789819510894 Druck-Ausgabe | Erscheint auch als: 9789819510900 Druck-Ausgabe | Erscheint auch als: Mathematical foundation of the boundary integro-differential equation method. Druck-Ausgabe Singapore : Springer Nature, 2026. xv, 305 SeitenDDC classification:
  • 515.35 23
DOI: DOI: 10.1007/978-981-95-1088-7Online resources: Summary: Chapter 1 Distributions -- Chapter 2 Fundamental Solutions of Linear Differential Operators -- Chapter 3 Boundary Value Problems of the Laplace Equations -- Chapter 4 Boundary Value Problem of Modified Helmholtz Equation -- Chapter 5 Boundary Value Problems of Helmholtz Equation -- Chapter 6 Boundary Value Problems of the Navier Equations -- Chapter 7 Boundary Value Problems of the Stokes Equations -- Chapter 8 Some Nonlinear Problems -- Chapter 9 Coercive and Symmetrical Coupling Methods of Finite Element Method and Boundary Element Method.Summary: 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.PPN: PPN: 1949727726Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS
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