Title | Meshfree Methods for Partial Differential Equations [electronic resource] / edited by Michael Griebel, Marc Alexander Schweitzer |
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Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2003 |
Connect to | http://dx.doi.org/10.1007/978-3-642-56103-0 |
Descript | IX, 471 p. 21 illus., 11 illus. in color. online resource |
Meshless and Generalized Finite Element Methods: A Survey of Some Major ย 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 โ 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 โ Finite-Cover Based Element Free Method -- Finite Pointset Method Based on the Projection Method for Simulations of the Incompressible Navier-Stokes Equations -- LPRH โ 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. Color Plates