The Gauss Theorem for domain decompositions in Sobolev Spaces: The Gauss Theorem

Applicable Analysis

Volumn 76, Issue 1-2, 2000, Pages 67-81

  Berlanga, Ricardo ^a   Herrera, Ismael ^a  

^a IIMAS UNAM   (Mexico)

Author keywords

35A15; 35G15; 65N5; Concomitant; Domain decomposition; Formal adjoint; Gauss theorem; Green formula; Linear differential operator; Manifold with corners; Sobolev space; Traces

Indexed keywords

EID: 0347975986     PISSN: 00036811     EISSN: 1563504X     Source Type: Journal    
DOI: 10.1080/00036810008840866     Document Type: Article

References (18)

1. Adams, R.A., 1975. “ Sobolev Space ”. New York: Academic Press.
2. Allen III, M.B., Herrera, I., and Pinder, G.F., “ Numerical Modeling in Science and Engineering ”.
3. Herrera, I., 1985. Unified Appmach to Numerical Methods. Part 1. Green's Formulas for Operators in Discontinuous Fields. Numerical Methods for Partial Differential Equations, 1 (1): 25–44.
4. Herrera, I., Chargoy, L., and Alduncin, G., 1985. Unified Approach to Numerical Methods. Part 3. Finite Differences and Ordinary Differential Equations. Numerical Methods for Partial Differential Equations, 1 (4): 241–258.
5. Herrera, I., 1986. “ The Merging of Disciplines:New Directions in Pure ”. In Applied and Computational Mathematics Edited by: Ewing, R.E., Gross, K.I., and Martin, C.F., 79–88. Springer-Verlag, New York
6. Herrera, I., January 1992. “ On Operator Extensions: The Algebraic Theory Approach. Advances in Optimization and Numerical Analysis ”. In Proceedings of the 6 Workshop on Optimization and Numerical Analysis, January, 155–163. Oaxaca, México: Kluwer Academic Publishers. Mathematics and its Applications
7. Herrera, I., 1993. “ Innovative Discretization Methodologies Based on LAM. Finite Elements in Fluids ”. In New Trends and Applications, Edited by: Morgan, k., Vol. 2, 1437–1447. Pineridge Press.
8. Herrera, I., Ewing, R.E., Celia, M.A., and Russell, T., 1993. Eulerian-Lagran-gion Localized Adjoint Method.: The Theoretical Framework, Numerical Methods for Partial Differential Equations, 9 (4): 431–457.
9. Herrera, I., 1995. Trefftz-Herrera Domain Decomposition. Special Volume on Trefftz Method:70 Year Anniversary. Advances in Engineering Software, 24: 43–56.
10. Herrera, I., and Díaz, M., 1999. Indirect Methods of Collocation:Trefftz-Herre-ra Collocation. Numerical Methods for Partial Differential Equations, 15 (6): 709–738.
11. Herrera I., Berlanga R., Green-Herrera Formulas and Operator Extensions 1980 to appear
12. Herrera I., Berlanga R., Trefftz-Method: A General Theory 1980 to appear
13. Lions, J.L., and Magenes, E., 1972. Non-Homogeneous Boundary Value Problems and Applications. 1
14. Loomis, L., and Sternberg, S., “ Advanced Calculus ”. In Reading Mass, Addison-Wesley.
15. Marti, J.T., 1986. “ Introduction to Soboleu Spaces and Finite Element Solution of Elliptic Boundary Value Problems ”. London: Academic Press.
16. Quarteroni, A., and Valli, A., 1994. Numerical Approximation of Partial Differential Equations.
17. Reed, M., and Simon, B., 1972. “ Functional Analysis ”. New York: Academic Press.
18. Reed, W., 1973. “ Functional Analysis ”. New York: Mc Graw-Hill.