Accession Number:

ADA021109

Title:

Mixed-Hybrid Finite Element Approximations of Second-Order Elliptic Boundary-Value Problems.

Descriptive Note:

Scientific rept.,

Corporate Author:

TEXAS INST FOR COMPUTATIONAL MECHANICS AUSTIN

Personal Author(s):

• Babuska,I.
• Oden,J. T.
• Lee,J. K.

Report Date:

1975-12-01

Pagination or Media Count:

47.0

Abstract:

Mixed-hybrid finite element approximations are described for second-order elliptic boundary-value problems in which independent approximations are used for the solution and its gradient on the interior of an element and the trace of the gradients on the boundary of the element. This leads to nonconforming finite elements. The independent boundary approximations are introduced by means of Lagrange multipliers. A-priori error estimates are derived. several other finite element models are also obtained as special cases. Author

Descriptors:

• *FINITE ELEMENT ANALYSIS
• *BOUNDARY VALUE PROBLEMS
• MATHEMATICAL MODELS
• MECHANICS
• APPROXIMATION(MATHEMATICS)
• PARTIAL DIFFERENTIAL EQUATIONS
• HYBRID SYSTEMS
• NUMERICAL METHODS AND PROCEDURES
• LAGRANGIAN FUNCTIONS
• LINEAR DIFFERENTIAL EQUATIONS

Subject Categories:

• Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE