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The aim of this chapter is to provide an in-depth presentation and survey of meshfree particle methods. Several particle approximations are reviewed; the SPH method, corrected gradient methods and the moving least squares (MLS) approximation.
Rabczuk, Timon +3 more
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On a Meshfree Method for Singular Problems
Interests in meshfree (or meshless) methods have grown rapidly in the recent years in solving boundary value problems arising in mechanics, especially in dealing with difficult problems involving large deformation, moving discontinuities, etc.
Xueping Meng, Weimin Han
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The aim of this chapter is to provide an in-depth presentation and survey of meshfree particle methods. Several particle approximations are reviewed; the SPH method, corrected gradient methods and the moving least squares (MLS) approximation.
Rabczuk, T +3 more
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Meshfree methods for partial differential equations IX
This volume collects selected papers presented at the Ninth International Workshop on Meshfree Methods held in Bonn, Germany in September 2017. They address various aspects of this very active research field and cover topics from applied mathematics ...
Griebel, Michael, Schweitzer, Marc
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Meshfree particle method [PDF]
Many of the computer vision algorithms have been posed in various forms of differential equations, derived from minimization of specific energy functionals, and the finite element representation and computation have become the de facto numerical strategies for solving these problems. However, for cases where domain mappings between numerical iterations
Huafeng Liu 0003, Pengcheng Shi
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3D Meshfree Magnetohydrodynamics [PDF]
28 pages, 8 Figures; submitted to Springer Lecture Notes in Computational Science and ...
Rosswog, S., Price, D. J.
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S.73-92Fluid Structure Interaction (FSI) and meshfree numerical methods are a perfect couple. One often repeated strong argument is the almost natural coupling of meshfree methods in a Lagrangian/ALE formulation with moving, flexible structures.
Mack, R., Michel, I., Kuhnert, J.
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Meshfree Exponential Integrators
For the numerical solution of time-dependent partial differential equations, a class of meshfree exponential integrators is proposed. These methods are of particular interest in situations where the solution of the differential equation concentrates on a small part of the computational domain which may vary in time. For the space discretization, radial
Marco Caliari +2 more
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Meshfree method for fluctuating hydrodynamics [PDF]
17 pages, 2 ...
Anamika Pandey +2 more
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The Optimal Transportation Meshfree Method for General Fluid Flows and Strongly Coupled Fluid-Structure Interaction Problems [PDF]
This thesis develops a novel meshfree numerical method for simulating general fluid flows. Drawing from concepts in optimal mass transport theory and in combination with the notion of material point sampling and meshfree interpolation, the optimal ...
Habbal, Feras
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