Publication Cover
Applicable Analysis
An International Journal
Volume 76, 2000 - Issue 1-2
71
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

The Gauss Theorem for Domain Decompositions in Sobolev Spaces

The Gauss Theorem

&
Pages 67-81 | Received 01 Dec 1999, Published online: 02 May 2007

References

  • Adams , R.A. 1975 . “ Sobolev Space ” . New York : Academic Press .
  • Allen III , M.B. , Herrera , I. and Pinder , G.F. “ Numerical Modeling in Science and Engineering ” .
  • 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 .
  • 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 .
  • 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
  • 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
  • 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 .
  • 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 .
  • Herrera , I. 1995 . Trefftz-Herrera Domain Decomposition. Special Volume on Trefftz Method:70 Year Anniversary . Advances in Engineering Software , 24 : 43 – 56 .
  • Herrera , I. and Díaz , M. 1999 . Indirect Methods of Collocation:Trefftz-Herre-ra Collocation . Numerical Methods for Partial Differential Equations , 15 ( 6 ) : 709 – 738 .
  • Herrera I. Berlanga R. Green-Herrera Formulas and Operator Extensions 1980 to appear
  • Herrera I. Berlanga R. Trefftz-Method: A General Theory 1980 to appear
  • Lions , J.L. and Magenes , E. 1972 . Non-Homogeneous Boundary Value Problems and Applications . 1
  • Loomis , L. and Sternberg , S. “ Advanced Calculus ” . In Reading Mass , Addison-Wesley .
  • Marti , J.T. 1986 . “ Introduction to Soboleu Spaces and Finite Element Solution of Elliptic Boundary Value Problems ” . London : Academic Press .
  • Quarteroni , A. and Valli , A. 1994 . Numerical Approximation of Partial Differential Equations .
  • Reed , M. and Simon , B. 1972 . “ Functional Analysis ” . New York : Academic Press .
  • Reed , W. 1973 . “ Functional Analysis ” . New York : Mc Graw-Hill .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.