An odyssey into local refinement and multilevel preconditioning III: Implementation and numerical experiments Export

@article{citeulike:1145769, abstract = {In this paper, we examine a number of additive and multiplicative multilevel iterative methods and preconditioners in the setting of two- and three-dimensional local mesh refinement. While standard multilevel methods are effective for uniform refinement-based discretizations of elliptic equations, they tend to be less effective for algebraic systems which arise from discretizations on locally refined meshes, losing both their optimal behavior in both storage or computational complexity. Our...}, author = {Aksoylu, Burak and Bond, Stephen D. and Holst, Michael J.}, citeulike-article-id = {1145769}, citeulike-linkout-0 = {http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.13.589}, journal = {SIAM Journal on Scientific Computing}, keywords = {multigrid, preconditioning, scientificcomputing}, pages = {478--498}, posted-at = {2007-03-07 15:26:06}, priority = {3}, title = {An odyssey into local refinement and multilevel preconditioning III: Implementation and numerical experiments}, url = {http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.13.589}, volume = {25}, year = {2003} }

TY - JOUR ID - citeulike:1145769 L3 - citeulike-article-id:1145769 N2 - In this paper, we examine a number of additive and multiplicative multilevel iterative methods and preconditioners in the setting of two- and three-dimensional local mesh refinement. While standard multilevel methods are effective for uniform refinement-based discretizations of elliptic equations, they tend to be less effective for algebraic systems which arise from discretizations on locally refined meshes, losing both their optimal behavior in both storage or computational complexity. Our... JF - SIAM Journal on Scientific Computing EP - 498 TI - An odyssey into local refinement and multilevel preconditioning III: Implementation and numerical experiments VL - 25 SP - 478 KW - multigrid KW - preconditioning KW - scientificcomputing AU - Aksoylu, Burak AU - Bond, Stephen AU - Holst, Michael PY - 2003/// UR - http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.13.589 ER -