Show simple item record

dc.contributor.authorPaszyński, Maciej R.
dc.contributor.authorPaszyńska, Anna
dc.contributor.authorDalcin, Lisandro
dc.contributor.authorCalo, Victor M.
dc.date.accessioned2015-10-31T22:48:52Z
dc.date.available2015-10-31T22:48:52Z
dc.date.issued2015-04-27
dc.identifier.urihttp://hdl.handle.net/10754/581487
dc.description.abstractThis paper describes a hybrid direct and iterative solver for two and three dimensional h adaptive grids with point singularities. The point singularities are eliminated by using a sequential linear computational cost solver O(N) on CPU [1]. The remaining Schur complements are submitted to incomplete LU preconditioned conjugated gradient (ILUPCG) iterative solver. The approach is compared to the standard algorithm performing static condensation over the entire mesh and executing the ILUPCG algorithm on top of it. The hybrid solver is applied for two or three dimensional grids automatically h refined towards point or edge singularities. The automatic refinement is based on the relative error estimations between the coarse and fine mesh solutions [2], and the optimal refinements are selected using the projection based interpolation. The computational mesh is partitioned into sub-meshes with local point and edge singularities separated. This is done by using the following greedy algorithm.
dc.relation.urlhttp://congress.cimne.com/panacm2015/admin/files/fileabstract/a134.pdf
dc.titleHybrid direct and iterative solvers for h refined grids with singularities
dc.typePresentation
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentPhysical Science and Engineering (PSE) Division
dc.conference.date27-29 April, 2015
dc.conference.namePan American Congresses on Computational Mechanics (PANACM) 2015
dc.conference.locationBuenos Aires
dc.contributor.institutionAGH University of Science and Technology Al. Mickiewicya 30, 30+059 Krakow, Poland
dc.contributor.institutionJagiellonian University Łojasiewicza 11, 30-348 Krakow, Poland
refterms.dateFOA2018-06-13T11:07:26Z


Files in this item

Thumbnail
Name:
a134.pdf
Size:
106.7Kb
Format:
PDF
Description:
abstract

This item appears in the following Collection(s)

Show simple item record