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  2. Meshfree methods - Wikipedia

    en.wikipedia.org/wiki/Meshfree_methods

    Since the kernel function only returns nonzero results for nearby particles within twice the "smoothing length" (because we typically choose kernel functions with compact support), it would be a waste of effort to calculate the summations above over every particle in a large simulation. So typically SPH simulators require some extra code to ...

  3. MATLAB - Wikipedia

    en.wikipedia.org/wiki/MATLAB

    MATLAB (an abbreviation of "MATrix LABoratory" [18]) is a proprietary multi-paradigm programming language and numeric computing environment developed by MathWorks.MATLAB allows matrix manipulations, plotting of functions and data, implementation of algorithms, creation of user interfaces, and interfacing with programs written in other languages.

  4. FEATool Multiphysics - Wikipedia

    en.wikipedia.org/wiki/FEATool_Multiphysics

    FEATool Multiphysics is a fully integrated physics and PDE simulation environment where the modeling process is subdivided into six steps; preprocessing (CAD and geometry modeling), mesh and grid generation, physics and PDE specification, boundary condition specification, solution, and postprocessing and visualization.

  5. Lloyd's algorithm - Wikipedia

    en.wikipedia.org/wiki/Lloyd's_algorithm

    Lloyd's algorithm starts by an initial placement of some number k of point sites in the input domain. In mesh-smoothing applications, these would be the vertices of the mesh to be smoothed; in other applications they may be placed at random or by intersecting a uniform triangular mesh of the appropriate size with the input domain.

  6. GPOPS-II - Wikipedia

    en.wikipedia.org/wiki/GPOPS-II

    Because the mesh can be adapted such that both the degree of the polynomial used to approximate the state () and the width of each mesh interval can be different from interval to interval, the method is referred to as an -adaptive method (where "" refers to the width of each mesh interval, while "" refers to the polynomial degree in each mesh ...

  7. Mesh generation - Wikipedia

    en.wikipedia.org/wiki/Mesh_generation

    Mesh generation is the practice of creating a mesh, a subdivision of a continuous geometric space into discrete geometric and topological cells. Often these cells form a simplicial complex. Usually the cells partition the geometric input domain. Mesh cells are used as discrete local approximations of the larger domain.

  8. Radial basis function interpolation - Wikipedia

    en.wikipedia.org/wiki/Radial_basis_function...

    The interpolant takes the form of a weighted sum of radial basis functions. [1] [2] RBF interpolation is a mesh-free method, meaning the nodes (points in the domain) need not lie on a structured grid, and does not require the formation of a mesh. It is often spectrally accurate [3] and stable for large numbers of nodes even in high dimensions.

  9. Types of mesh - Wikipedia

    en.wikipedia.org/wiki/Types_of_mesh

    A coarse mesh may provide an accurate solution if the solution is a constant, so the precision depends on the particular problem instance. One can selectively refine the mesh in areas where the solution gradients are high, thus increasing fidelity there. Accuracy, including interpolated values within an element, depends on the element type and ...