Simultaneous determination of temperatures, heat fluxes, deformations, and tractions on inaccessible boundaries

American Society of Mechanical Engineers, Applied Mechanics Division, AMD

Volumn 228, Issue , 1998, Pages 1-5

  Dennis, Brian H ^a   Dulikravich, George S ^a  

^a The Pennsylvania State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CONTINUUM MECHANICS; ELASTICITY; HEAT CONDUCTION; HEAT FLUX; LINEAR SYSTEMS; PROBLEM SOLVING; STRESSES; SURFACES; TEMPERATURE; THERMOELASTICITY; TWO DIMENSIONAL;

DISPLACEMENT; LINEAR ELASTICITY; SURFACE STRESS;

FINITE ELEMENT METHOD;

EID: 11744285399     PISSN: 01608835     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Article

References (9)

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3. Golub, G. H. and Van Loan, C. F., 1996, Matrix Computations, 3rd edn., Johns Hopkins, Baltimore, MD.
4. Martin, T. J. and Dulikravich, G. S., 1996, "Inverse determination of boundary conditions in steady heat conduction," ASME Journal of Heat Transfer, Vol. 3, No. 118, pp. 546-554.
5. Martin, T. J., Halderman, J., and Dulikravich, G. S., 1995, "An inverse method for finding unknown surface tractions and deformations in elastostatics," Computers and Structures, Vol. 56, No. 5, pp. 825-836.
6. Matstoms, P., 1991, "The multifrontal solution of sparse least squares problems," Ph.D. Thesis, Linköping University, Sweden.
7. Neumaier, A., 1998, "Solving ill-conditioned and singular linear systems: A tutorial on regularization," to appear in SIAM Review.
8. Paige, C. C. and Saunders, M. A., 1982, "LSQR: An algorithm for sparse linear equations and sparse least squares," ACM Transactions on Mathematical Software, Vol. 8, No. 1, pp. 43-71.
9. Shewchuk, J. R., 1996, "Triangle: Engineering a 2D quality mesh generator and Delaunay triangulator," In: First Workshop on Applied Computational Geometry, Philadelphia, PA.