![]() ![]() ![]() InhaltsangabeMeshless and Generalized Finite Element Methods: A Survey of Some Major Results.- Adaptive Meshfree Method of Backward Characteristics for Nonlinear Transport Equations.- New Methods for Discontinuity and Crack Modeling in EFG.- SPH Simulations of MHD Shocks Using a Piecewise Constant Smoothing Length Profile.- On the Numerical Solution of Linear Advection-Diffusion Equation using Compactly Supported Radial Basis Functions.- New RBF Collocation Methods and Kernel RBF with Apphcations.- Tuned Local Regression Estimators for the Numerical Solution of Differential Equations.- Approximate Moving Least-Squares Approximation with Compactly Supported Radial Weights.- Coupling Finite Elements and Particles for Adaptivity.- A Hamiltonian Particle-Mesh Method for the Rotating Shallow-Water Equations.- Fast Multi-Level Meshless Methods Based on the Implicit Use of Radial Basis Functions.- A Particle-Partition of Unity Method-Part IV: Parallelization.- Some Studies of the Reproducing Kernel Particle Method.- Consistency by Correcting Coefficients in the Finite-Volume-Particle Method.- Do Finite Volume Methods Need a Mesh?.- An Upwind Finite Pointset Method (FPM) for Compressible Euler and Navier-Stokes Equations.- Adaptive Galerkin Particle Method.- An Adaptivity Procedure Based on the Gradient of Strain Energy Density and its Apphcation in Meshless Methods.- New Developments in Smoothed Particle Hydrodynamics.- The Distinct Element Method - Apphcation to Structures in Jointed Rock.- Advance Diffraction Method as a Tool for Solution of Complex Non-Convex Boundary Problems.- On the Stochastic Weighted Particle Method.- The SPH/MLSPH Method for the Simulation of High Velocity Concrete Fragmentation.- Stability of DPD and SPH.- A New Meshless Method - Finite-Cover Based Element Free Method.- Finite Pointset Method Based on the Projection Method for Simulations of the Incompressible Navier-Stokes Equations.- LPRH - Local Polynomial Regression Hydrodynamics.- On Multigrid Methods for Generalized Finite Element Methods.- The Convergence of the Finite Mass Method for Flows in Given Force and Velocity Fields.- Survey of Multi-Scale Meshfree Particle Methods.- Appendix. Meshfree methods, particle methods, kernel approaches and generalized finite element methods have undergone substantial development since the mid 1990s. Furthermore, meshfree methods have a number of advantageous features that are especially attractive when dealing with multiscale phenomena: A-priori knowledge about the solution’s particular local behavior can easily be introduced into the meshfree approximation space, and coarse scale approximations can be seamlessly refined by adding fine.
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