S., “Image Based Multiscale Modeling of Porous Bone Materials,” Multiscale Simulations and Mechanics of Biological Materials, John Wiley & Sons Lt., pp. S., “Recent Advances in Meshfree Methods for Plat and Shell Analysis,” Computational Solid Mechanics-Structural Analysis and Algorithms, China Higher Education Press & Springer, 2013. S., Zhang Y., Sinha, S., Sinha, U., Hodgson, J., Csapo, R., and Malis, V., “Pixel Based Meshfree Modeling of Skeletal Muscles,” Lecture Notes in Computer Science, Springer, CompIMAGE 2014, LNCS 8641, pp. Chi, “The Role of Quadrature in Meshfree Methods: Variational Consistency in Galerkin Weak Form and Collocation in Strong Form,” IACM Expressions, Vol. S., Belytschko, T., “Meshless and Meshfree Methods,” Encyclopedia of Applied and Computational Mathematics, Springer-Verlag, Berlin, Heidelberg, pp. J., “Advanced Computational Methods to Understand & Mitigate Extreme Events,” IACM Expression, Vol.
S., “An Implicit Gradient Meshfree Formulation for Convection-Dominated Problems,” Modeling and Simulation in Science, Engineering and Technology Book Series, pp.
A., “Reproducing Kernel Approximation and Discretization,” Encyclopedia of Computational Mechanics, Second Edition, John Wiley & Sons, Ltd., Chapter 20, pp. S., “Performance Comparison of Nodally Integrated Galerkin Meshfree Methods and Nodally Collocated Strong Form Meshfree Methods,” Advances in Computational Plasticity, Springer, pp. Topics related to computational mechanics and mathematics in meshfree methods as well as industrial applications using meshfree methods are cordially invited to contribute to this minisymposium.Hillman, M. The objective of this minisymposium is to hold a forum to report the recent developments and applications of meshfree methods by researchers from engineering, mathematics and industries. To date, many meshfree methods have been proposed, such as the smoothed particle hydrodynamics, element free Galerkin method, reproducing kernel particle method, material point method, generalized finite difference method, strong form collocation methods, to name a few. With this advantage, meshfree methods have been developed and investigated in various research areas in recent years, for example, isogeometric analysis, nonlinear and large deformation analysis, inverse problems, peridynamics, geomechanics, biomaterial modeling, fluid dynamics, extreme events modeling, solid-fluid interaction, among others.
The meshfree (meshless) methods offer flexibility in constructing spatial approximations without the need for element connectivity.
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