Numerical analysis | Computational fluid dynamics | Numerical differential equations

Meshfree methods

In the field of numerical analysis, meshfree methods are those that do not require connection between nodes of the simulation domain, i.e. a mesh, but are rather based on interaction of each node with all its neighbors. As a consequence, original extensive properties such as mass or kinetic energy are no longer assigned to mesh elements but rather to the single nodes. Meshfree methods enable the simulation of some otherwise difficult types of problems, at the cost of extra computing time and programming effort. The absence of a mesh allows Lagrangian simulations, in which the nodes can move according to the velocity field. (Wikipedia).

Meshfree methods
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Related pages

Weakened weak form | Numerical integration | Computational fluid dynamics | Differential equation | Support (mathematics) | Immersed boundary method | Weak formulation | Galerkin method | Particle-in-cell | Gaussian quadrature | Material point method | Numerical methods for ordinary differential equations | Generalized-strain mesh-free formulation | Numerical differentiation | Viscous vortex domains method | Kronecker delta | Diffuse element method | Particle method | Lagrangian and Eulerian specification of the flow field | Finite pointset method | Discrete least squares meshless method | Mesh generation | Method of fundamental solutions | Patch test (finite elements) | Natural element method | Partition of unity | Moving least squares | Smoothed-particle hydrodynamics | Navier–Stokes equations | Numerical analysis | Finite element method | Petrov–Galerkin method | Extended finite element method | Dissipative particle dynamics | Types of mesh | Finite difference method | Smoothed finite element method | Boundary element method