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dc.contributor.advisorCantin, Gilles
dc.contributor.authorDias, Gerald Frietas
dc.dateJune 1970
dc.date.accessioned2012-11-01T22:55:08Z
dc.date.available2012-11-01T22:55:08Z
dc.date.issued1970-06
dc.identifier.urihttp://hdl.handle.net/10945/15054
dc.descriptionApproved for public release; distribution is unlimiteden_US
dc.description.abstractA new technique for constructing "computational molecules" for linear finite difference operators is developed. The basic approach is one of approximating a two dimensional surface with a geometrically consistent interpolating polynomial of degree four or five. The desired finite differences operator is then developed from the polynomial. the resulting molecules are geometrically consistent and may be used to solve boundary value problems without the use of fictitious points. Molecules for the biharmonic operator with various boundary conditions included are presented in this paper, as well as molecules representing the boundary conditions for shear and moment along the free edge of a plate. The integrity of the molecules presented is proven by comparisons of solutions for flat plate bending problems by finite difference with exact solutions from the literature. Convergence plots for each problem are also presented.en_US
dc.description.urihttp://archive.org/details/investigationofn00dias
dc.language.isoen_US
dc.publisherMonterey, California; Naval Postgraduate Schoolen_US
dc.rightsThis publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. As such, it is in the public domain, and under the provisions of Title 17, United States Code, Section 105, may not be copyrighted.en_US
dc.subject.lcshMechanical engineeringen_US
dc.titleAn investigation of a new class of linear finite difference operators to be used in solution of partial differential equationsen_US
dc.typeThesisen_US
dc.contributor.corporateNaval Postgraduate School
dc.contributor.departmentMechanical Engineering
dc.subject.authorFinite differenceen_US
dc.subject.authorBiharmonic operatoren_US
dc.subject.authorPartial differential equationsen_US
dc.description.serviceLieutenant Commander, United States Navyen_US
etd.thesisdegree.nameM.S. in Mechanical Engineeringen_US
etd.thesisdegree.levelMastersen_US
etd.thesisdegree.disciplineMechanical Engineeringen_US
etd.thesisdegree.grantorNaval Postgraduate Schoolen_US


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