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Alves / Valtchev / Karageorghis

Advances in Trefftz Methods and Their Applications

Medium: Buch
ISBN: 978-3-030-52803-4
Verlag: Springer International Publishing
Erscheinungstermin: 01.10.2020
Lieferfrist: bis zu 10 Tage
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 whereas the last two chapters are devoted to related meshless engineering applications. Part of these selected contributions were presented in the 9th International Conference on Trefftz Methods and 5th International Conference on the MFS, held in 2019, July 29-31, in Lisbon, Portugal.

Produkteigenschaften


  • Artikelnummer: 9783030528034
  • Medium: Buch
  • ISBN: 978-3-030-52803-4
  • Verlag: Springer International Publishing
  • Erscheinungstermin: 01.10.2020
  • Sprache(n): Englisch
  • Auflage: 1. Auflage 2020
  • Serie: SEMA SIMAI Springer Series
  • Produktform: Gebunden, HC runder Rücken kaschiert
  • Gewicht: 500 g
  • Seiten: 203
  • Format (B x H x T): 160 x 241 x 18 mm
  • Ausgabetyp: Kein, Unbekannt

Autoren/Hrsg.

Herausgeber

Alves, Carlos

Valtchev, Svilen

Karageorghis, Andreas

Leitão, Vitor

1 Chen, M. et al., Solving Partial Di?erential Equations on Surfaces with Fundamental Solutions.- 2 Akhmouch, L. et al., Solving magneto-hydrodynamic (MHD) channel ?ows 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., Identi?cation 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 theReciprocity Functional Approach.- 9 Moldovan, D.I., et al., Uni?ed hybrid-Tre?tz ?nite element formulation for dynamic problems.- 10. Fu, Z.-J. et al., Acoustic bandgap calculation of liquid phononic crystals via the meshless generalized ?nite di?erence method