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Pollution error in the h-version of the finite-element method and the local quality of a-posteriori error estimators
|dc.description||Due to the character of the original source materials and the nature of batch digitization, quality control issues may be present in this document. Please report any quality issues you encounter to email@example.com, referencing the URI of the item.||en|
|dc.description||Includes bibliographical references.||en|
|dc.description.abstract||In this work we study the pollution-error in the h-version of the finite element method and its effect on the local quality of a-posteriori error estimators. We show that the pollution-effect in an interior subdomain depends on the relationship between the mesh inside and outside the subdomain and the smoothness of the exact solution. We also demonstrate that it is possible to guarantee the quality of local error-estimators in the interior of a finite-element mesh-subdomain of interest by employing meshes which are sufficiently refined outside the subdomain.||en|
|dc.publisher||Texas A&M University|
|dc.rights||This thesis was part of a retrospective digitization project authorized by the Texas A&M University Libraries in 2008. Copyright remains vested with the author(s). It is the user's responsibility to secure permission from the copyright holder(s) for re-use of the work beyond the provision of Fair Use.||en|
|dc.subject||Major aerospace engineering.||en|
|dc.title||Pollution error in the h-version of the finite-element method and the local quality of a-posteriori error estimators||en|
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