Finite element method and some applications

dc.contributor.advisorNewhouse, Albert
dc.contributor.committeeMemberJohnson, Olin G.
dc.contributor.committeeMemberDecell, Henry P., Jr.
dc.creatorRaznahan, Hooshang
dc.description.abstractThe region R is subdivided into discrete subregions or elements (triangles), with the boundaries of each element being plane or curvilinear faces, and with the adjacent boundaries of any pair of elements being coincident. A trial solution of the form = y- 0r(x^i)Cr is used with an extremal principle for r=l each element, to obtain a set of equations from which the unknown parameters Cr are determined. If we solve the equations Ax = b, via the standard symmetric factorization of A, then 0(n^4) arithmetic operations are required if the usual row by row numbering scheme is used, and storage required 0(n^3). If we avoid operating on zeros, the LDL^T factorization of A can be computed using the same standard algorithm in 0(n3) arithmetic operations. Furthermore, the storage required is only 0(n^2log2n).
dc.description.departmentComputer Science, Department of
dc.format.digitalOriginreformatted digital
dc.rightsThis item is protected by copyright but is made available here under a claim of fair use (17 U.S.C. §107) for non-profit research and educational purposes. Users of this work assume the responsibility for determining copyright status prior to reusing, publishing, or reproducing this item for purposes other than what is allowed by fair use or other copyright exemptions. Any reuse of this item in excess of fair use or other copyright exemptions requires express permission of the copyright holder.
dc.titleFinite element method and some applications
dc.type.genreThesis of Natural Sciences and Mathematics Science, Department of Science of Houston of Science


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