Finite element method for the Tricomi problem
Technical Report
·
OSTI ID:5770002
The numerical solution of a class of second-order equations of elliptic-hyperbolic type for phi(x) by the finite element method is addressed by solution of the equivalent first-order system for the gradient of phi. Subspaces must lie in H/sup 1/(..cap omega..), where ..cap omega.. is a bounded region of the (x/sub 1/,x/sub 2/) plane. The problem to be solved is described first. Then an a priori error estimate is proved, and the coercivity of the bilinear form to be used is established. Next, the finite-element method for general subspaces is described, and a general error bound is established. Finally, it is shown that the L/sub 2/ rate of convergence for linear elements may be increased from O(h) to O(h/sup 3/2/) by writing the subspace as a direct sum in a new way. (RWR)
- Research Organization:
- Maryland Univ., College Park (USA). Inst. for Physical Science and Technology; Maryland Univ., College Park (USA). Dept. of Mathematics
- OSTI ID:
- 5770002
- Report Number(s):
- ORO-3443-84; BN-913
- Country of Publication:
- United States
- Language:
- English
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