Existence and uniqueness of solutions to a stationary finite element model of the biharmonic equation

abstract

• This paper describes the finite element approximations based on a stationary variational principle of the biharmonic equation. Independent approximations for the solution and its second derivatives are used in the element: the normal derivatives of the solution and its second derivatives are approximated independently on the element boundary. Thus, the present model is a 'mixed-hybrid' model. Existence and uniqueness of solutions to the exact weak (or variational) problem are established and the associated finite element approximations are described. Existence and uniqueness of the finite element solutions are proved and a priori error estimates are given. 1977.

authors

• Reddy, Junuthula

published proceedings

• Computers & Mathematics with Applications

author list (cited authors)

• Reddy, J. N.

citation count

• 2

complete list of authors

• Reddy, JN

publication date

• January 1977

publisher

• Elsevier  Publisher

published in

• Computers and Mathematics with Applications  Journal

Digital Object Identifier (DOI)

• 10.1016/0898-1221(77)90067-0

start page

• 135

end page

• 147

volume

• 3

issue

• 2

URL

• http://dx.doi.org/10.1016/0898-1221(77)90067-0