Advances in Trefftz Methods and Their Applications. 1st ed. 2020

種類:

電子ブック

責任表示:

edited by Carlos Alves, Andreas Karageorghis, Vitor Leitão, Svilen Valtchev

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2020

著者名:

• Alves, Carlos.
• Karageorghis, Andreas.
• Leitão, Vitor.
• Valtchev, Svilen.
• SpringerLink (Online service)

シリーズ名:

SEMA SIMAI Springer Series ; 23

ISBN:

9783030528041 [3030528049]    

注記:

1 Chen, M. et al., Solving Partial Differential Equations on Surfaces with Fundamental Solutions -- 2 Akhmouch, L. et al., Solving magneto-hydrodynamic (MHD) channel flows at large Hartmann numbers by using the method of fundamental solutions -- 3 Gáspár, C. et al., Application of Quadtrees in the Method of Fundamental Solutions using Multi-Level Tools -- 4 Liu, Q., Method of Fundamental Solutions without Fictitious Boundary for Anisotropic Elasticity Problems Based on Mechanical Equilibrium Desingularization -- 5 Barbeiro, S. and Serranho, P., The method of fundamental solutions for the direct elastography problem in the human retina -- 6 Martins, Nuno F. M., Identification and reconstruction of body forces in a Stokes system using shear waves -- 7 Marin, L., MFS-Fading Regularization Method for Inverse BVPs in Anisotropic Heat Conduction -- 8. Mocerino, A., et al., Non-intrusive Estimate of Spatially Varying Internal Heat Flux in Coiled Ducts: Method of Fundamental Solutions Applied to the Reciprocity Function
In this book we gather recent mathematical developments and engineering applications of Trefftz methods, with particular emphasis on the Method of Fundamental Solutions (MFS). These are true meshless methods that have the advantage of avoiding the need to set up a mesh altogether, and therefore going beyond the reduction of the mesh to a boundary. These Trefftz methods have advantages in several engineering applications, for instance in inverse problems where the domain is unknown and some numerical methods would require a remeshing approach. Trefftz methods are also known to perform very well with regular domains and regular data in boundary value problems, achieving exponential convergence. On the other hand, they may also under certain conditions, exhibit instabilities and lead to ill-conditioned systems. This book is divided into ten chapters that illustrate recent advances in Trefftz methods and their application to engineering problems. The first eight chapters are devoted to the MFS and variants wherea

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