The Generalized Fourier Series Method : Bending of Elastic Plates. 1st ed. 2020

種類:

電子ブック

責任表示:

by Christian Constanda, Dale Doty

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2020

著者名:

• Constanda, Christian.
• Doty, Dale.
• SpringerLink (Online service)

シリーズ名:

Developments in Mathematics ; 65

ISBN:

9783030558499 [3030558495]    

注記:

1. The Mathematical Model -- 2. Generalized Fourier Series -- 3. Interior Dirichlet Problem -- 4. Interior Neumann Problem -- 5. Interior Robin Problem -- 6. Exterior Dirichlet Problem -- 7. Exterior Neumann Problem -- 8. Exterior Robin Problem -- A. Numerical Issues -- B. Numerical Integration -- C. Interior Boundary Value Problem for D[x,y] -- D. Exterior Boundary Value Problems for D^A[X,y] -- E. Numerical Integration of P[x,y] and P^A[x,y] -- References -- Index.
This book explains in detail the generalized Fourier series technique for the approximate solution of a mathematical model governed by a linear elliptic partial differential equation or system with constant coefficients. The power, sophistication, and adaptability of the method are illustrated in application to the theory of plates with transverse shear deformation, chosen because of its complexity and special features. In a clear and accessible style, the authors show how the building blocks of the method are developed, and comment on the advantages of this procedure over other numerical approaches. An extensive discussion of the computational algorithms is presented, which encompasses their structure, operation, and accuracy in relation to several appropriately selected examples of classical boundary value problems in both finite and infinite domains. The systematic description of the technique, complemented by explanations of the use of the underlying software, will help the readers create their own codes

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