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Titlebook: Meshfree Methods for Partial Differential Equations VII; Michael Griebel,Marc Alexander Schweitzer Conference proceedings 2015 Springer In

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Dispersion Properties of the Partition of Unity Method and Explicit Dynamics,the consistent mass matrix approach. Thus, the lumped mass matrix approach attains very similar accuracy at substantially lower computational cost than the consistent mass matrix in simulations of dynamic behavior.
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Regularization and Multi-level Tools in the Method of Fundamental Solutions,mann subproblems, the solutions of which converge rapidly to the solution of the original mixed problem. The iteration is embedded to a multi-level context in a natural way. Thus, the computational cost can be significantly reduced, and the problem of large and ill-conditioned matrices is also avoided.
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Meshfree Finite Differences for Vector Poisson and Pressure Poisson Equations with Electric Boundar a specific pressure Poisson equation reformulation of the Navier-Stokes equations that possesses the same type of boundary conditions. The resulting numerical approach is second order accurate and allows for a simple switching between an explicit and implicit treatment of the viscosity terms.
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An Immersed Meshfree Galerkin Approach for Particle-Reinforced Composite Analysis,cial nodes across the interface. This leads to a nonconforming meshfree Galerkin formulation which can be shown to satisfy an optimal error estimate in the energy and .. norms. Two numerical benchmarks are analyzed to study the accuracy and the applicability of the method.
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Conference proceedings 2015terest in these methods is due in part to the fact that they are extremely flexible numerical tools and can be interpreted in a number of ways. For instance, meshfree methods can be viewed as a natural extension of classical finite element and finite difference methods to scattered node configuratio
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Co-simulations of Discrete and Finite Element Codes,improved with respect to the massive parallel computation of the DEM code and high-speed communication on high performance computing (HPC) clusters.A few validation examples as well as a more complex simulation of the motion of a tire on sticky soil will be presented.
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Numerical Integration of On-the-Fly-Computed Enrichment Functions in the PUM,e, subdivision approaches using a priori information are not (directly) applicable. This study aims to investigate, whether the particularities of the underlying particle method and the construction of the enrichments might allow for better convergence than theory would suggest.
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978-3-319-38290-6Springer International Publishing Switzerland 2015
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