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Meshless methods in biomechanics. Bone tissue remodelling analysis. (English) Zbl 1314.92001

Lecture Notes in Computational Vision and Biomechanics 16. Cham: Springer (ISBN 978-3-319-06399-7/hbk; 978-3-319-06400-0/ebook). xiii, 320 p. (2014).
Publisher’s description: This book presents the complete formulation of a new advanced discretization meshless technique: the natural neighbour radial point interpolation method (NNRPIM). In addition, two of the most popular meshless methods, the EFGM and the RPIM, are fully presented. Being a truly meshless method, the major advantages of the NNRPIM over the FEM and other meshless methods, are the remeshing flexibility and the higher accuracy of the obtained variable field. Using the natural neighbour concept, the NNRPIM permits to determine organically the influence-domain, resembling the cellulae natural behaviour. This innovation permits the analysis of convex boundaries and extremely irregular meshes, which is an advantage in the biomechanical analysis, with no extra computational effort associated.
This volume shows how to extend the NNRPIM to the bone tissue remodelling analysis, expecting to contribute with new numerical tools and strategies in order to permit a more efficient numerical biomechanical analysis

MSC:

92-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to biology
92C10 Biomechanics
65M70 Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
74L15 Biomechanical solid mechanics
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
92C55 Biomedical imaging and signal processing
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