Show simple item record

dc.contributor.advisorHenson, Van Emden
dc.contributor.authorMiranda, Gerald N
dc.date.accessioned2012-08-09T19:21:32Z
dc.date.available2012-08-09T19:21:32Z
dc.date.issued1997-06
dc.identifier.urihttp://hdl.handle.net/10945/8559
dc.descriptionApproved for public release; Distribution is unlimiteden_US
dc.description.abstractAlgebraic multigrid (AMG) is a numerical method used to solve particular algebraic systems, and interest in it has risen because of its multigrid-like efficiency. Variations in methodology during the interpolation phase result in differing convergence rates. We have found that regular interpolation weight definitions are inadequate for solving certain discretized systems so an iterative approach to determine the weights will prove useful. This iterative weight definition must balance the requirement of keeping the interpolatory set of points "small" in order to reduce solver complexity while maintaining accurate interpolation to correctly represent the coarse-grid function on the fine grid. Furthermore, the weight definition process must be efficient enough to reduce setup phase costs. We present systems involving matrices where this iterative method significantly outperforms regular AMG weight definitions. Experimental results show that the iterative weight definition does not improve the convergence rate over standard AMG when applied to M-matrices; however, the improvement becomes significant when solving certain types of complicated, non-standard algebraic equations generated by irregular operatorsen_US
dc.description.urihttp://archive.org/details/interpolationwei00mira
dc.language.isoeng
dc.publisherMonterey, California. Naval Postgraduate Schoolen_US
dc.titleInterpolation weights of algebraic multigriden_US
dc.contributor.secondreaderFrenzen, Christopher L.
dc.contributor.departmentApplied Mathematics
dc.subject.authorAlgebraic Multigriden_US
dc.subject.authorMatrix Equationsen_US
dc.subject.authorInterpolation Weightsen_US
dc.description.serviceLieutenant, United States Navyen_US
etd.thesisdegree.nameM.S. in Applied Mathematicsen_US
etd.thesisdegree.levelMastersen_US
etd.thesisdegree.disciplineApplied Mathematicsen_US
etd.thesisdegree.grantorNaval Postgraduate Schoolen_US


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record