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Partition of unity isogeometric analysis for singularly perturbed problems and fourth order differential equations containing singularities
Title
Partition of unity isogeometric analysis for singularly perturbed problems and fourth order differential equations containing singularities
Author
Kim, Sinae
Date Created
2016
Subjects--Topical
Mathematics
Description
The design basis functions in IGA are refined and enhanced by extra enrichment functions and various local refinements with the use of partition of unity (PU) functions with flat-top. These reconditioned and modified basis functions are pushed for...
SCHWARZ METHODS FOR FOURTH-ORDER PROBLEMS CONTAINING SINGULARITIES
Title
SCHWARZ METHODS FOR FOURTH-ORDER PROBLEMS CONTAINING SINGULARITIES
Author
Palta, Birce
Date Created
2019
Subjects--Topical
Mathematics
Description
We develop numerical methods for analysis of fourth-order partial differential equations on domains with angular corners. For the finite element analysis of fourth-order partial differential equations, we have to use smoother basis functions whose...