Solution techniques for the p-Version of the adaptive finite element method

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dc.contributor.author Papadrakakis, Manolis en
dc.contributor.author Babilis George, P en
dc.date.accessioned 2014-03-01T01:10:17Z
dc.date.available 2014-03-01T01:10:17Z
dc.date.issued 1994 en
dc.identifier.issn 0029-5981 en
dc.identifier.uri http://hdl.handle.net/123456789/11355
dc.subject Adaptive Finite Element Method en
dc.subject.classification Engineering, Multidisciplinary en
dc.subject.classification Mathematics, Interdisciplinary Applications en
dc.subject.other Convergence of numerical methods en
dc.subject.other Matrix algebra en
dc.subject.other Adaptive method en
dc.subject.other Domain decomposition en
dc.subject.other Systems of linear equations en
dc.subject.other Finite element method en
dc.title Solution techniques for the p-Version of the adaptive finite element method en
heal.type journalArticle en
heal.identifier.primary 10.1002/nme.1620370809 en
heal.identifier.secondary http://dx.doi.org/10.1002/nme.1620370809 en
heal.language English en
heal.publicationDate 1994 en
heal.abstract This paper investigates the performance of a class of methods based on the Preconditioned Conjugate Gradient (PCG) method for the solution of large and sparse systems of linear equations which arise from the p-version of the adaptive finite element method. The hierarchical type of preconditioning used in the past is extended to the SSOR and incomplete factorization type preconditioning and applied with a global handling of the stiffness matrix. The paper also presents some new ideas on Domain Decomposition (DD) matrix-handling techniques, whereby the explicit formulation of the resulting Schur complement is avoided by utilizing the PCG method with efficient preconditioners and by processing separately on the coarse and the fine mesh. The suitability of the methods to the p-version of the adaptive finite element method is demonstrated through extensive numerical tests in two dimensions. en
heal.publisher Publ by John Wiley & Sons Ltd, Chichester, United Kingdom en
heal.journalName International Journal for Numerical Methods in Engineering en
dc.identifier.doi 10.1002/nme.1620370809 en
dc.identifier.isi ISI:A1994NJ71900008 en
dc.identifier.volume 37 en
dc.identifier.issue 8 en
dc.identifier.spage 1413 en
dc.identifier.epage 1431 en

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