Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Finite element method for the Tricomi problem

Technical Report ·
OSTI ID:6318661
The numerical solution of a class of equations of elliptic--hyperbolic type by the finite element method is considered; specifically of interest are equations of the form Lu = k(y)u/sub xx/ + u/sub yy/ = f. A new Galerkin formulation motivated by the well-known energy-integral method is used to obtain the fundamental inequality. Then the finite element formulation of the boundary-value problem is given, and the paper concludes with an error analysis for the procedure. The method can be applied to any well-posed problem of mixed type. (RWR)
Research Organization:
Maryland Univ., College Park (USA). Inst. for Physical Science and Technology; Maryland Univ., Baltimore (USA); Technische Univ. Berlin (Germany, F.R.)
OSTI ID:
6318661
Report Number(s):
ORO-3443-77; BN-883
Country of Publication:
United States
Language:
English