Domain Decomposition Methods for Nonconforming Finite Element Spaces of Lagrange-Type

Simple item page
dc.contributor.authorCowsar, Lawrence C.
dc.date.accessioned2018-06-18T17:41:09Z
dc.date.available2018-06-18T17:41:09Z
dc.date.issued1993-03
dc.date.noteMarch 1993
dc.description.abstractIn this article, we consider the application of three popular domain decomposition methods to Lagrange-type nonconforming finite element discretizations of scalar, self-adjoint, second order elliptic equations. The additive Schwarz method of Dryja and Widlund, the vertex space method of Smith, and the balancing method of Mandel applied to nonconforming elements are shown to converge at the same rate as their applications to the standard conforming piecewise linear Galerkin discretization. Essentially, the theory for the nonconforming elements is inherited from the existing theory for the conforming elements with only modest modification by constructing an isomorphism between the nonconforming finite element space and a space of continuous piecewise linear functions.
dc.format.extent18 pp
dc.identifier.citationCowsar, Lawrence C.. "Domain Decomposition Methods for Nonconforming Finite Element Spaces of Lagrange-Type." (1993) <a href="https://hdl.handle.net/1911/101791">https://hdl.handle.net/1911/101791</a>.
dc.identifier.digitalTR93-11
dc.identifier.urihttps://hdl.handle.net/1911/101791
dc.language.isoeng
dc.titleDomain Decomposition Methods for Nonconforming Finite Element Spaces of Lagrange-Type
dc.typeTechnical report
dc.type.dcmiText
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
TR93-11.pdf
Size:
396.75 KB
Format:
Adobe Portable Document Format
Download
Collections
CAAM Technical Reports