LEADER 04505nam 22005655 450 001 9910483929303321 005 20251113191201.0 010 $a3-030-52804-9 024 7 $a10.1007/978-3-030-52804-1 035 $a(CKB)5590000000002307 035 $a(MiAaPQ)EBC6362073 035 $a(DE-He213)978-3-030-52804-1 035 $a(PPN)258305207 035 $a(EXLCZ)995590000000002307 100 $a20200930d2020 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aAdvances in Trefftz Methods and Their Applications /$fedited by Carlos Alves, Andreas Karageorghis, Vitor Leitão, Svilen Valtchev 205 $a1st ed. 2020. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2020. 215 $a1 online resource (XIV, 203 p. 106 illus., 78 illus. in color.) 225 1 $aSEMA SIMAI Springer Series,$x2199-305X ;$v23 311 08$a3-030-52803-0 327 $a1 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. 330 $aIn this book we gather recent mathematical developments and engineering applications of Trefftz methods, with particular emphasis on the Method of Fundamental Solutions (MFS). These are true meshless methods that have the advantage of avoiding the need to set up a mesh altogether, and therefore going beyond the reduction of the mesh to a boundary. These Trefftz methods have advantages in several engineering applications, for instance in inverse problems where the domain is unknown and some numerical methods would require a remeshing approach. Trefftz methods are also known to perform very well with regular domains and regular data in boundary value problems, achieving exponential convergence. On the other hand, they may also under certain conditions, exhibit instabilities and lead to ill-conditioned systems. This book is divided into ten chapters that illustrate recent advances in Trefftz methods and their application to engineering problems. Thefirst eight chapters are devoted to the MFS and variants whereas the last two chapters are devoted to related meshless engineering applications. Part of these selected contributions were presented in the 9th International Conference on Trefftz Methods and 5th International Conference on the MFS, held in 2019, July 29-31, in Lisbon, Portugal. 410 0$aSEMA SIMAI Springer Series,$x2199-305X ;$v23 606 $aMathematics$xData processing 606 $aComputer science 606 $aMathematical physics 606 $aComputational Mathematics and Numerical Analysis 606 $aComputer Science 606 $aTheoretical, Mathematical and Computational Physics 615 0$aMathematics$xData processing. 615 0$aComputer science. 615 0$aMathematical physics. 615 14$aComputational Mathematics and Numerical Analysis. 615 24$aComputer Science. 615 24$aTheoretical, Mathematical and Computational Physics. 676 $a515.353 702 $aAlves$b Carlos$f1900- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910483929303321 996 $aAdvances in Trefftz methods and their applications$92377962 997 $aUNINA