Filtering algebraic multigrid and adaptive strategies
نویسندگان
چکیده
منابع مشابه
Adaptive Algebraic Multigrid
Efficient numerical simulation of physical processes is constrained by our ability to solve the resulting linear systems, prompting substantial research into the development of multiscale iterative methods capable of solving these linear systems with an optimal amount of effort. Overcoming the limitations of geometric multigrid methods to simple geometries and differential equations, algebraic ...
متن کاملRobust and adaptive multigrid methods: comparing structured and algebraic approaches
Although there have been significant advances in robust algebraic multigrid methods in recent years, numerical studies and emerging hardware architectures continue to favor structured-grid approaches. Specifically, implementations of logically structured robust variational multigrid algorithms, such as the Black Box Multigrid (BoxMG) solver, have been shown to be 10 times faster than AMG for th...
متن کاملMultigrid Solution Strategies for Adaptive Meshing Problems
This paper discusses the issues which arise when combining multigrid strategies with adaptive meshing techniques for solving steady-state problems on unstructured meshes. A basic strategy is described, and demonstrated by solving several inviscid and viscous ow cases. Potential ine ciencies in this basic strategy are exposed, and various alternate approaches are discussed, some of which are dem...
متن کاملAlgebraic Multigrid
In computer simulation of particular systems (e.g. in physics, biology, economics), partial differential equations (PDE) are solved numerically, mainly by applying Finite Element (FE) or Finite Difference (FD) Analysis. This methods lead to algebraic systems of equations with large, sparse system matrices that have to be solved. Since direct solvers can not exploit the sparsity when the structu...
متن کاملAggregation-based Adaptive Algebraic Multigrid for Sparse Linear Systems
Acknowledgements I would like to thank Prof. Irad Yavneh for his invaluable guidance throughout this research, and for being a friend and teammate whose door is always open. His original ideas, experienced suggestions and great help were crucial to this research. I hope to keep working with you in the future; you made this experience truly meaningful and enjoyable. I want to thank my mentors an...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Computing and Visualization in Science
سال: 2007
ISSN: 1432-9360,1433-0369
DOI: 10.1007/s00791-007-0066-9