Studies of the numerical solution of elliptic parabolic boundary value problems. Progress report, November 1, 1976--October 31, 1977. [Univ. of Maryland]
Technical Report
·
OSTI ID:7212468
An area of principal study was problems in the use of the finite element method in technical practice and the analysis of criteria for next-generation finite element programs. Considerable effort was devoted to numerical solution of boundary-value problems of mixed type, such as g(x,y)u/sub xx/ + u/sub yy/ = f in ..cap omega.., Mu = 0 on par. deltaGAMMA. Two approaches were considered: reduction of the second-order boundary-value problem to an equivalent boundary-value problem for a first-order system and direct finite element formulation of the second-order problem. The other area of concentration was problems concerning differential equations with rapidly changing coefficients. Finding an approximate replacement for such an equation by an ''averaged'' equation (homogenization problem) was studied. This report gives primarily an overview of the work; specific technical publications are cited. (RWR)
- Research Organization:
- Maryland Univ., College Park (USA). Inst. for Physical Science and Technology
- OSTI ID:
- 7212468
- Report Number(s):
- ORO-3443-65
- Country of Publication:
- United States
- Language:
- English
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