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Multigrid method

Known as: Multigrid, Algebraic multigrid method, Multigrid methods 
Multigrid (MG) methods in numerical analysis are algorithms for solving differential equations using a hierarchy of discretizations. They are an… Expand
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Highly Cited
2011
Highly Cited
2011
  • Hamilton-Jacobi-Bellman, Hamilton-Jacobi-Bellman-Isaacs
  • 2011
  • Corpus ID: 2233819
We propose multigrid methods for solving Hamilton-Jacobi-Bellman (HJB) and HamiltonJacobi-Bellman-Isaacs (HJBI) equations. The… Expand
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Highly Cited
2010
Highly Cited
2010
An algebraic multigrid method is presented to solve large systems of linear equations. The coarsen- ing is obtained by… Expand
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Highly Cited
2006
Highly Cited
2006
An iterative solution method, in the form of a preconditioner for a Krylov subspace method, is presented for the Helmholtz… Expand
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Highly Cited
2005
Highly Cited
2005
Many computer graphics applications require high-intensity numerical simulation. We show that such computations can be performed… Expand
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Highly Cited
2005
Highly Cited
2005
We study the performance of the multigrid method applied to spectral element (SE) discretizations of the Poisson and Helmholtz… Expand
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Highly Cited
2005
Highly Cited
2005
An algebraic multigrid algorithm for symmetric, positive definite linear systems is developed based on the concept of… Expand
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Highly Cited
2002
Highly Cited
2002
Driven by the need to solve linear systems arising from problems posed on extremely large, unstructured grids, there has been a… Expand
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Highly Cited
2001
Highly Cited
2001
Summary. We prove an abstract convergence estimate for the Algebraic Multigrid Method with prolongator defined by a… Expand
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Highly Cited
1983
Highly Cited
1983
The assumption of potential o w implies that the o w is irrotational. This is not strictly correct when shock waves are present… Expand
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Highly Cited
1982
Highly Cited
1982
The vorticity-stream function formulation of the two-dimensional incompressible NavierStokes equations is used to study the… Expand
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