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Monolithic Newtonmultigrid solution
"... techniques for incompressible nonlinear flow models ⋆ ..."
Multigrid Solution of the PoissonBoltzmann Equation
 J. Comput. Chem
, 1993
"... this paper, the usual finite volume discretization approach is taken, as in [6, 8], and a multigrid method is employed for solution of the discrete equations ..."
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Cited by 38 (13 self)
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this paper, the usual finite volume discretization approach is taken, as in [6, 8], and a multigrid method is employed for solution of the discrete equations
Multigrid Solution for HighOrder Discontinuous Galerkin . . .
, 2004
"... A highorder discontinuous Galerkin finite element discretization and pmultigrid solution procedure for the compressible NavierStokes equations are presented. The discretization has an elementcompact stencil such that only elements sharing a face are coupled, regardless of the solution space. Thi ..."
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Cited by 45 (16 self)
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A highorder discontinuous Galerkin finite element discretization and pmultigrid solution procedure for the compressible NavierStokes equations are presented. The discretization has an elementcompact stencil such that only elements sharing a face are coupled, regardless of the solution space
On multigrid solution of highreynolds incompressible entering flows
 J. Comput. Phys
, 1992
"... An approach is presented for effectively separating the solution process of the elliptic component of highReynolds incompressible steady entering flow, for which classical multigrid techniques are wellsuited, from that of the nonelliptic part, for which other methods are more effective. It is sh ..."
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Cited by 49 (15 self)
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An approach is presented for effectively separating the solution process of the elliptic component of highReynolds incompressible steady entering flow, for which classical multigrid techniques are wellsuited, from that of the nonelliptic part, for which other methods are more effective
Fast multigrid solution of the advection problem with closed characteristics
 SIAM J. Sci. Comput
, 1998
"... Abstract. The numerical solution of the advectiondiffusion problem in the inviscid limit with closed characteristics is studied as a prelude to an efficient high Reynoldsnumber flow solver. It is demonstrated by a heuristic analysis and numerical calculations that using upstream discretization wit ..."
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Cited by 15 (6 self)
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with downstream relaxation ordering in a multigrid cycle with appropriate residual weighting leads to an efficient solution process. Upstream finitedifference approximations to the advection operator are derived whose truncation terms approximate “physical ” (Laplacian) viscosity, thus avoiding spurious
Multigrid Solution of the Euler Equations with Local Preconditioning
"... Evidence is given that local preconditioning of Euler and NavierStokes schemes enhances both single and multigrid performance. 1. Introduction Recent advances in multigrid relaxation for the Euler equations have come from the understanding that the acoustic equations embedded in the system have t ..."
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Cited by 12 (0 self)
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Evidence is given that local preconditioning of Euler and NavierStokes schemes enhances both single and multigrid performance. 1. Introduction Recent advances in multigrid relaxation for the Euler equations have come from the understanding that the acoustic equations embedded in the system have
Multigrid Solution of the Euler Equations for Aircraft Configurations
 AIAA 22nd Aerospace Sciences Meeting
, 1984
"... A multigrid scheme for solving the Euler equations is presented. The method he5 been successfuily applied to twodimensional airfoil calculations on both &type and Ctype meshes. In three dimensions the scheme has proved equally effective and calculations of flows over wing/body cornbinations ar ..."
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Cited by 16 (5 self)
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A multigrid scheme for solving the Euler equations is presented. The method he5 been successfuily applied to twodimensional airfoil calculations on both &type and Ctype meshes. In three dimensions the scheme has proved equally effective and calculations of flows over wing/body cornbinations
Multigrid Solution strategies for adaptive meshing problems
 NASA CP 3316
, 1995
"... This paper discusses the issues which arise when combining multigrid strategies with adaptive meshing techniques for solving steadystate problems on unstructured meshes. A basic strategy is described, and demonstrated by solving several inviscid and viscous ow cases. Potential ine ciencies in this ..."
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Cited by 3 (0 self)
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This paper discusses the issues which arise when combining multigrid strategies with adaptive meshing techniques for solving steadystate problems on unstructured meshes. A basic strategy is described, and demonstrated by solving several inviscid and viscous ow cases. Potential ine ciencies
The Appropriate Numbering for the Multigrid Solution of Convection Dominated Problems
, 1998
"... this paper we will describe efficient smoothing methods that depend on the ordering of the unknowns. We provide numerical results illustrating the improved convergence properties of the multigrid algorithm. 1 Introduction The incompressible NavierStokes equations are an important model in Computati ..."
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Cited by 1 (0 self)
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this paper we will describe efficient smoothing methods that depend on the ordering of the unknowns. We provide numerical results illustrating the improved convergence properties of the multigrid algorithm. 1 Introduction The incompressible NavierStokes equations are an important model
Accessed from Multigrid Solution of the DebyeHückel Equation
, 2013
"... Multigrid algorithms are fast solvers for elliptic partial differential equations. In this thesis, we apply multigrid methods to the model of protein chargeregulation of Hollenbeck, et al. The model of protein chargeregulation requires computing work of charging matrices for two low dielectric sph ..."
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spheres in a salt solution, which in turn requires many solutions of the linearized PoissonBoltzmann equation, or the DebyeHückel equation. We use multigrid methods to reduce the run time of computing solutions to the DebyeHückel equation, and compare the results of some simple and more complicated
Results 1  10
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