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dc.contributor.authorYang, SYen_US
dc.contributor.authorChang, CLen_US
dc.date.accessioned2014-12-08T15:49:09Z-
dc.date.available2014-12-08T15:49:09Z-
dc.date.issued1998-05-01en_US
dc.identifier.issn0749-159Xen_US
dc.identifier.urihttp://hdl.handle.net/11536/32663-
dc.description.abstractA new stress-pressure-displacement formulation for the planar elasticity equations is proposed by introducing the auxiliary variables, stresses, and pressure. The resulting first-order system involves a nonnegative parameter that measures the material compressibility for the elastic body. A two-stage least-squares finite element procedure is introduced for approximating the solution to this system with appropriate boundary conditions. It is shown that the two-stage least-squares scheme is stable and, with respect to the order of approximation for smooth exact solutions, the rates of convergence of the approximations for all the unknowns are optimal both in the H-1-norm and in the L-2-norm. Numerical experiments with various values of the parameter are examined, which demonstrate the theoretical estimates. Among other things, computational results indicate that the behavior of convergence is uniform in the nonnegative parameter. (C) 1998 John Wiley & Sons, Inc.en_US
dc.language.isoen_USen_US
dc.subjectelasticity equationsen_US
dc.subjectleast-squaresen_US
dc.subjectfinite elementsen_US
dc.subjecterror estimatesen_US
dc.titleA two-stage least-squares finite element method for the stress-pressure-displacement elasticity equationsen_US
dc.typeArticleen_US
dc.identifier.journalNUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONSen_US
dc.citation.volume14en_US
dc.citation.issue3en_US
dc.citation.spage297en_US
dc.citation.epage315en_US
dc.contributor.department應用數學系zh_TW
dc.contributor.departmentDepartment of Applied Mathematicsen_US
dc.identifier.wosnumberWOS:000074027300002-
dc.citation.woscount3-
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