منابع مشابه
Self-correcting Multigrid Solver
A new multigrid algorithm based on the method of self-correction for the solution of elliptic problems is described. The method exploits information contained in the residual to dynamically modify the source term (right-hand side) of the elliptic problem. It is shown that the self-correcting solver is more efficient at damping the short wavelength modes of the algebraic error than its standard ...
متن کاملNew Multigrid Solver Advances in TOPS
In this paper, we highlight new multigrid solver advances in the Terascale Optimal PDE Simulations (TOPS) project in the Scientific Discovery Through Advanced Computing (SciDAC) program. We discuss two new algebraic multigrid (AMG) developments in TOPS: the adaptive smoothed aggregation method (αSA) and a coarse-grid selection algorithm based on compatible relaxation (CR). The αSA method is sho...
متن کاملTowards a more fault resilient multigrid solver
The effectiveness of sparse, linear solvers is typically studied in terms of their convergence properties and computational complexity, while their ability to handle transient hardware errors, such as bit-flips that lead to silent data corruption (SDC), has received less attention. As supercomputers continue to add more cores to increase performance, they are also becoming more susceptible to S...
متن کاملMultigrid solver for axisymmetrical 2D fluid equations
We have developed an efficient algorithm for steady axisymmetrical 2D fluid equations. The algorithm employs multigrid method as well as standard implicit discretization schemes for systems of partial differential equations. Linearity of the multigrid method with respect to the number of grid points allowed us to use 256×256 grid, where we could achieve solutions in several minutes. Time limita...
متن کاملCorrecting the “self-correcting” mythos of science
In standard characterizations, science is self-correcting. Scientists examine each other’s work skeptically, try to replicate important discoveries, and thereby expose latent errors. Thus, while science is tentative, it also seems to have a system for correcting whatever mistakes arise. It powerfully explains and justifies the authority of science. Self-correction thus often serves emblematical...
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: International Journal of Computational Methods
سال: 2006
ISSN: 0219-8762,1793-6969
DOI: 10.1142/s0219876206000345