Preconditioner schemes for elliptic saddle-point matrices based upon Jacobi multi-band polynomial matrices

Simple item page
dc.contributor.advisorWheeler, Mary F.en_US
dc.creatorParr, Victor J.en_US
dc.date.accessioned2009-06-04T00:26:06Zen_US
dc.date.available2009-06-04T00:26:06Zen_US
dc.date.issued1995en_US
dc.description.abstractSimulation of flow in porous media requires the numerical approximation of elliptic partial differential equations. Mixed finite element methods are frequently employed, because of local mass conservation and accurate approximation of both pressure and velocity. Mixed methods give rise to "elliptic" saddle-point (ESP) matrices, which are difficult to solve numerically. In addition, the problems to be modelled in ground water flow require that the hydraulic conductivity or absolute permeability be a tensor, which adds additional complexity to the resulting saddle-point matrices. This research develops several preconditioners for restarted GMRES solution of the ESP linear systems. These preconditioners are based on a new class of polynomial matrices, which we refer to as Multi-band Jacobi Polynomial (JMP) matrices. Applications of these preconditioners to the numerical solution of two and three spatial dimensional flow equations with tensor coefficients using rectangular lowest order Raviart-Thomas spaces are presented.en_US
dc.format.extent65 p.en_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.callnoTHESIS MATH.SCI. 1995 PARRen_US
dc.identifier.citationParr, Victor J.. "Preconditioner schemes for elliptic saddle-point matrices based upon Jacobi multi-band polynomial matrices." (1995) Diss., Rice University. <a href="https://hdl.handle.net/1911/16868">https://hdl.handle.net/1911/16868</a>.en_US
dc.identifier.urihttps://hdl.handle.net/1911/16868en_US
dc.language.isoengen_US
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.en_US
dc.subjectMathematicsen_US
dc.titlePreconditioner schemes for elliptic saddle-point matrices based upon Jacobi multi-band polynomial matricesen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentMathematical Sciencesen_US
thesis.degree.disciplineEngineeringen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelDoctoralen_US
thesis.degree.nameDoctor of Philosophyen_US
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
9610692.PDF
Size:
1.74 MB
Format:
Adobe Portable Document Format
Download
Collections
Rice University Theses and Dissertations