Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Multigrid_method> ?p ?o }
Showing triples 1 to 84 of
84
with 100 triples per page.
- Multigrid_method abstract "Multigrid (MG) methods in numerical analysis are a group of algorithms for solving differential equations using a hierarchy of discretizations. They are an example of a class of techniques called multiresolution methods, very useful in (but not limited to) problems exhibiting multiple scales of behavior. For example, many basic relaxation methods exhibit different rates of convergence for short- and long-wavelength components, suggesting these different scales be treated differently, as in a Fourier analysis approach to multigrid. MG methods can be used as solvers as well as preconditioners.The main idea of multigrid is to accelerate the convergence of a basic iterative method (known as relaxation, which generally reduces short-wavelength error) by a global correction of the fine grid solution approximation from time to time, accomplished by solving a coarse problem. The coarse problem, while cheaper to solve, is similar to the fine grid problem in that it also has short- and long-wavelength errors. It can also be solved by a combination of relaxation and appeal to still coarser grids. This recursive process is repeated until a grid is reached where the cost of direct solution there is negligible compared to the cost of one relaxation sweep on the fine grid. This multigrid cycle typically reduces all error components by a fixed amount bounded well below one, independent of the fine grid mesh size. The typical application for multigrid is in the numerical solution of elliptic partial differential equations in two or more dimensions.Multigrid methods can be applied in combination with any of the common discretization techniques. For example, the finite element method may be recast as a multigrid method. In these cases, multigrid methods are among the fastest solution techniques known today. In contrast to other methods, multigrid methods are general in that they can treat arbitrary regions and boundary conditions. They do not depend on the separability of the equations or other special properties of the equation. They have also been widely used for more-complicated non-symmetric and nonlinear systems of equations, like the Lamé equations of elasticity or the Navier-Stokes equations.".
- Multigrid_method wikiPageExternalLink pg=1066.
- Multigrid_method wikiPageExternalLink 2006422.
- Multigrid_method wikiPageExternalLink welcome.html.
- Multigrid_method wikiPageExternalLink www.mgnet.org.
- Multigrid_method wikiPageExternalLink xwb.html.
- Multigrid_method wikiPageExternalLink sld001.htm.
- Multigrid_method wikiPageExternalLink present.html.
- Multigrid_method wikiPageID "1747763".
- Multigrid_method wikiPageLength "15628".
- Multigrid_method wikiPageOutDegree "44".
- Multigrid_method wikiPageRevisionID "704718815".
- Multigrid_method wikiPageWikiLink Achi_Brandt.
- Multigrid_method wikiPageWikiLink Adaptive_mesh_refinement.
- Multigrid_method wikiPageWikiLink Algorithm.
- Multigrid_method wikiPageWikiLink Boundary_value_problem.
- Multigrid_method wikiPageWikiLink Category:Numerical_analysis.
- Multigrid_method wikiPageWikiLink Category:Partial_differential_equations.
- Multigrid_method wikiPageWikiLink Category:Wavelets.
- Multigrid_method wikiPageWikiLink Coarse_space_(numerical_analysis).
- Multigrid_method wikiPageWikiLink Differential_equation.
- Multigrid_method wikiPageWikiLink Discretization.
- Multigrid_method wikiPageWikiLink Eigenvalues_and_eigenvectors.
- Multigrid_method wikiPageWikiLink Elasticity_(physics).
- Multigrid_method wikiPageWikiLink Elliptic_partial_differential_equation.
- Multigrid_method wikiPageWikiLink Finite_element_method.
- Multigrid_method wikiPageWikiLink Fourier_analysis.
- Multigrid_method wikiPageWikiLink Gauss–Seidel_method.
- Multigrid_method wikiPageWikiLink Geometric_series.
- Multigrid_method wikiPageWikiLink Hierarchy.
- Multigrid_method wikiPageWikiLink Hyperbolic_partial_differential_equation.
- Multigrid_method wikiPageWikiLink Initial_value_problem.
- Multigrid_method wikiPageWikiLink Integral_equation.
- Multigrid_method wikiPageWikiLink Interpolation.
- Multigrid_method wikiPageWikiLink Linear_elasticity.
- Multigrid_method wikiPageWikiLink Linear_multistep_method.
- Multigrid_method wikiPageWikiLink Multiresolution_analysis.
- Multigrid_method wikiPageWikiLink Multiscale_modeling.
- Multigrid_method wikiPageWikiLink Navier–Stokes_equations.
- Multigrid_method wikiPageWikiLink Nikolai_Sergeevich_Bakhvalov.
- Multigrid_method wikiPageWikiLink Numerical_analysis.
- Multigrid_method wikiPageWikiLink Parabolic_partial_differential_equation.
- Multigrid_method wikiPageWikiLink Parallel_computing.
- Multigrid_method wikiPageWikiLink Parareal.
- Multigrid_method wikiPageWikiLink Partial_differential_equation.
- Multigrid_method wikiPageWikiLink Preconditioner.
- Multigrid_method wikiPageWikiLink Relaxation_(iterative_method).
- Multigrid_method wikiPageWikiLink Residual_(numerical_analysis).
- Multigrid_method wikiPageWikiLink Runge–Kutta_methods.
- Multigrid_method wikiPageWikiLink Separable_partial_differential_equation.
- Multigrid_method wikiPageWikiLink Smoothing.
- Multigrid_method wikiPageWikiLink Society_for_Industrial_and_Applied_Mathematics.
- Multigrid_method wikiPageWikiLink Sparse_matrix.
- Multigrid_method wikiPageWikiLink Statistical_physics.
- Multigrid_method wikiPageWikiLink Wavelet.
- Multigrid_method wikiPageWikiLinkText "Multi-Grid Methods".
- Multigrid_method wikiPageWikiLinkText "Multigrid method".
- Multigrid_method wikiPageWikiLinkText "Multigrid".
- Multigrid_method wikiPageWikiLinkText "algebraic multigrid".
- Multigrid_method wikiPageWikiLinkText "multigrid method".
- Multigrid_method wikiPageWikiLinkText "multigrid".
- Multigrid_method wikiPageUsesTemplate Template:Citation_needed.
- Multigrid_method wikiPageUsesTemplate Template:Cite_book.
- Multigrid_method wikiPageUsesTemplate Template:Numerical_PDE.
- Multigrid_method wikiPageUsesTemplate Template:Reflist.
- Multigrid_method subject Category:Numerical_analysis.
- Multigrid_method subject Category:Partial_differential_equations.
- Multigrid_method subject Category:Wavelets.
- Multigrid_method hypernym Group.
- Multigrid_method type Band.
- Multigrid_method type Algorithm.
- Multigrid_method type Redirect.
- Multigrid_method type Wavelet.
- Multigrid_method comment "Multigrid (MG) methods in numerical analysis are a group of algorithms for solving differential equations using a hierarchy of discretizations. They are an example of a class of techniques called multiresolution methods, very useful in (but not limited to) problems exhibiting multiple scales of behavior.".
- Multigrid_method label "Multigrid method".
- Multigrid_method sameAs Q1413101.
- Multigrid_method sameAs Mehrgitterverfahren.
- Multigrid_method sameAs マルチグリッド法.
- Multigrid_method sameAs Método_Multigrid.
- Multigrid_method sameAs m.05stwf.
- Multigrid_method sameAs Многосеточный_метод.
- Multigrid_method sameAs Q1413101.
- Multigrid_method wasDerivedFrom Multigrid_method?oldid=704718815.
- Multigrid_method isPrimaryTopicOf Multigrid_method.