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Titlebook: Meshfree Methods for Partial Differential Equations IX; Michael Griebel,Marc Alexander Schweitzer Book 2019 Springer Nature Switzerland AG

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A Fast and Stable Multi-Level Solution Technique for the Method of Fundamental Solutions,tegy of defining several sets of external source points is introduced. The sets of sources are defined by the quadtree/octtree subdivision technique controlled by the boundary collocation points in a completely automatic way, resulting in a point set, the density of the spatial distribution of which
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Explicit Margin of Safety Assessment of Composite Structure,spect to metallic structures the MOS are primarily a function of the observed yield stress of the metal (critical property of the constitutive material). With continuous fiber reinforced polymer composites (composites in this paper) such a crisp measurement of the “yield stress” is not available. Th
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Fluid Structure Interaction (FSI) in the MESHFREE Finite Pointset Method (FPM): Theory and Applicatng of meshfree methods in a Lagrangian/ALE formulation with moving, flexible structures..Since 1996, Fraunhofer ITWM has been developing a Generalized Finite Difference Method (GFDM), a purely meshfree solver for fluid and continuum mechanics. In the industrial context, this method is also referred
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Parallel Detection of Subsystems in Linear Systems Arising in the MESHFREE Finite Pointset Method,te pointset method based on the projection method for simulations of the incompressible Navier–Stokes equations. Springer, Berlin, 2003). The key idea in FPM is to discretize the necessary differential operators by using stencils generated by a least squares approach on a pointcloud that is moving i
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Numerical Study of the RBF-FD Level Set Based Method for Partial Differential Equations on Evolvingial equations (PDEs) of the reaction-diffusion-convection type on an evolving-in-time hypersurface Γ(.). In a series of numerical experiments we study the accuracy and robustness of the proposed scheme and demonstrate that the method is applicable to practical models.
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Modeling the Friction Drilling Process Using a Thermo-Mechanical Coupled Smoothed Particle Galerkinon. The method is obtained by a modification of variational equations using the penalized approach to avoid onerous stability problems in conventional Lagrangian particle methods and to obtain semi-discrete equations that are amenable to temporal and spatial integration using the staggered explicit
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Stable and Efficient Quantum Mechanical Calculations with PUMA on Triclinic Lattices,method on general triclinic cells. To this end, we generalize the approach presented in Albrecht et al. (Comput. Meth. Appl. Mech. Eng. 342:224–239, 2018) via a simple yet effective transformation approach and discuss its realization in the PUMA software framework. The presented results clearly show
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