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dc.contributor.authorGao, Longfei
dc.contributor.authorCalo, Victor M.
dc.date.accessioned2015-08-03T11:54:33Z
dc.date.available2015-08-03T11:54:33Z
dc.date.issued2014-06
dc.identifier.issn00457825
dc.identifier.doi10.1016/j.cma.2014.01.023
dc.identifier.urihttp://hdl.handle.net/10754/563563
dc.description.abstractIn finite element analysis, solving time-dependent partial differential equations with explicit time marching schemes requires repeatedly applying the inverse of the mass matrix. For mass matrices that can be expressed as tensor products of lower dimensional matrices, we present a direct method that has linear computational complexity, i.e., O(N), where N is the total number of degrees of freedom in the system. We refer to these matrices as separable matrices. For non-separable mass matrices, we present a preconditioned conjugate gradient method with carefully designed preconditioners as an alternative. We demonstrate that these preconditioners, which are easy to construct and cheap to apply (O(N)), can deliver significant convergence acceleration. The performances of these preconditioners are independent of the polynomial order (p independence) and mesh resolution (h independence) for maximum continuity B-splines, as verified by various numerical tests. © 2014 Elsevier B.V.
dc.description.sponsorshipThis work was supported in part by the King Abdullah University of Science and Technology (KAUST) Center for Numerical Porous Media and by an Academic Excellence Alliance program award from KAUST's Global Collaborative Research under the title "Seismic wave focusing for subsurface imaging and enhanced oil recovery".
dc.publisherElsevier BV
dc.subjectExplicit dynamics
dc.subjectFast isogeometric solvers
dc.subjectFinite element method
dc.subjectL2 projection
dc.subjectMass matrix
dc.subjectTensor product
dc.titleFast isogeometric solvers for explicit dynamics
dc.typeArticle
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.contributor.departmentEarth Science and Engineering Program
dc.contributor.departmentEnvironmental Science and Engineering Program
dc.contributor.departmentExtreme Computing Research Center
dc.contributor.departmentNumerical Porous Media SRI Center (NumPor)
dc.contributor.departmentPhysical Science and Engineering (PSE) Division
dc.identifier.journalComputer Methods in Applied Mechanics and Engineering
kaust.personCalo, Victor M.
kaust.personGao, Longfei
kaust.acknowledged.supportUnitCenter for Numerical Porous Media
kaust.acknowledged.supportUnitKAUST's Global Collaborative Research


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