A multigrid tutorial (2nd ed.)

By W. Briggs, V. Henson, S. McCormick. 2000

481 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/d96d7189edaf50bc197b0df2c9b8738f96687baa

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Citations in the corpus

Diffusion Snakes: Introducing Statistical Shape Knowledge into the Mumford-Shah Functional (2002, background): “An elegant recursive definition of different multigrid cycles can be found in Briggs et al. (2000). allows to intuitively understand the effect of the operator A at a given location.”
Continental scale, high order, high spatial resolution, ice sheet modeling using the Ice Sheet System Model (ISSM) (2012, methodology): “For the BP, the conditioning is not as good and we have to switch to a preconditioning based on the Multigrid Algebraic method [Briggs et al., 2000].”
Sparse matrix solvers on the GPU: conjugate gradients and multigrid (2003, methodology): “Contributions We map two fundamental computational kernels onto the GPU: a conjugate gradient solver [Shewchuck 1994] for sparse, unstructured matrices and a multigrid solver for regular grids [Briggs et al. 2000].”
Application of the Multigrid Data Assimilation Scheme to the China Seas’ Temperature Forecast (2008, methodology): “The multigrid technique is often used to solve numerical differential equation by allowing long waves to converge faster than short ones (Briggs et al. 2000).”
GPGPU: general purpose computation on graphics hardware (2004, background): “Other variants such as µ-cycle and full multigrid are straightforward variations on the above code [Briggs et al. 2000].”
Preconditioning techniques for large linear systems: a survey (2002, unknown): “Up-to-date treatments can be found in [59, 68, 273].”
Large-Scale Semantic 3D Reconstruction: An Adaptive Multi-resolution Model for Multi-class Volumetric Labeling (2016, methodology): “Loosely speaking, one can interpret our framework as a multi-grid method [8], where the solution at a coarse discretization of the domain is used as improved initial guess for the fine-grid relaxation.”
p-Multigrid solution of high-order discontinuous Galerkin discretizations of the compressible Navier-Stokes equations (2005, methodology): “To solve the nonlinear system in question, the Full Approximation Scheme (FAS) [3, 4] was chosen as the multigrid method.”
Sparse matrix solvers on the GPU: conjugate gradients and multigrid (2003, methodology): “Contributions We map two fundamental computational kernels onto the GPU: a conjugate gradient solver [Shewchuck 1994] for sparse, unstructured matrices and a multigrid solver for regular grids [Briggs et al. 2000].”