Cascadic multigrid methods represent a class of iterative solvers that have been developed to efficiently tackle the large-scale linear systems arising from the discretisation of partial differential ...

SIAM Journal on Numerical Analysis, Vol. 50, No. 1 (2012), pp. 328-353 (26 pages) In this article we construct and analyze multigrid preconditioned for discretizations of operators of the form D λ + K ...

This is a preview. Log in through your library . Abstract We consider the discretized optimality system of a special class of elliptic optimal control problems and propose an all-at-once multigrid ...

Simulating the behavior of clothing and other fabrics in animated films requires animators to make tradeoffs between a realistic look and a reasonable amount of computing time. Researchers at Walt ...

First developed in 1998, the hypre team has adapted their cross-platform high performance library to support a variety of machine architectures over the years. Hypre supports scalable solvers and ...

Develops a fundamental understanding of the principles and techniques of the multigrid methodology, which is a widely used numerical approach for solving many problems in such diverse areas as ...

Analysis and application of numerical methods for solving large systems of linear equations, which often represent the bottleneck when computing solutions to equations arising in fluid mechanics, ...