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Mixed-hybrid finite element approximations of second-order elliptic boundary-value problems. II. Weak-hybrid methods

Technical Report ·
OSTI ID:7212465
A new class of hybrid finite element methods for the numerical analysis of second-order elliptic boundary-value problems is presented. The methods are characterized by the use of particular solutions of the differential equation being solved, in contrast to conventional hybrid methods, in which polynomial approximations are used. As a model problem the Dirichlet problem for Laplace's equation is studied. A priori error estimates are derived, and the results of numerical experiments are presented. 3 figures, 1 table.
Research Organization:
Texas Univ., Austin (USA). Texas Inst. for Computational Mechanics
OSTI ID:
7212465
Report Number(s):
ORO-3443-66
Country of Publication:
United States
Language:
English