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Applicable Analysis
An International Journal
Volume 54, 1994 - Issue 1-2
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Original Articles

A gårding's inequality for variational problems with constraints

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Pages 73-90 | Received 02 Oct 1992, Published online: 02 May 2007

  • Ciarlet , P. , Babuska , I. and Aziz , A. K. 1978 . “ Survey lectures on the mathematical foundations of the finite element method ” . In In The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential equations , Edited by: Aziz , A. K. 3 – 359 . North–Holland Publishing COmpany . Academic Press, New York ,1972
  • Babuska , I. 1972 . Error bounds for finite element methods . Numerische Mathematik , 16 : 322 – 333 .
  • Babuska , I. 1973 . The finite element method with Lagrangian multipliers . Numerische Mathematik , 20 : 179 – 192 .
  • Brezzi , F. 1974 . On the existence, uniqueness and approximation of saddle–point problems arising from Lagrange multipliers . RAIRO , 8-R2 : 129 – 151 .
  • Kohn , J. and Nirenberg , L. 1965 . An algebra of pseudodifferential operators . Communications on PUre and Applied Mathematics , 18 : 269 – 305 .
  • Stummel , F. 1969 . “ Rand–und Eigenwertaufgaben in Sobolevschen Raumen ” . In Lecture Notes in Mathematics , Vol. 102 , Berlin–Heidelberg–New York : Springer .
  • Gatica , G. N. 1991 . “ on a modified coupling procedure for exterior boundary value problems Technical Report 91-8 ” . Mathematical Sciences Institute, Cornell University .
  • Hsiao , G. C. 1986 . On the stability of integral equations of the first kind with logarithmic kernels . Archive for Rational Mechanics and Analysis , 94 ( 2 ) : 179 – 192 .
  • Hsiao , G. C. 1986 . “ A modified Galerkin scheme for elliptic equations with natural boundary conditions ” . In In Numerical Mathematics and Applications , Edited by: Vichnevetsky , R. and vignes , J. North–Holland : IMACS .
  • Mikhlin , S. G. 1965 . “ The problem of the Minimum of a Quadratic Functional ” . In Holden Day Inc. San Francisco
  • Wendland , W. L. 1988 . “ On asymptotic error estimates for the combined BEM and Fem. In CISM Lecture Notes 301 ” . In Finite Element and Boundary Element Techniques from Mathematical and Engineering point of view , Edited by: Stein , E. and Wendland , W. L. 273 – 333 . Wien New York : Springer-Verlag . Udine
  • Gatica , G. N. , Hsiao , G. C. , Girault , V. and Raviart , P. A. 1989 . “ Finite Element Methods for Navier–Stokes Equations ” . In Theory and Algorithms , Heidelberg : University of Delaware . Springer–Verlag, Berlin, , New York, Tokyo, 1986
  • Araya R. Mathematical and Numerical Analysis of a Nonconforming Galerkin Scheme for Constrained Variational Problems (spanish). M.Sc. Thesis Universidad de Concepción Chile 1992
  • Araya R. Gatica G.N. A new nonconforming Galerkin scheme for the Stokes problem: partially circumventing the discrete Babuska–Brezzi condition Computer Methods in Applied Mechanics and Engineering, to appear
  • Gatica G. N. Hsiao G.C. On a new nonconforming Galerkin scheme for the coupling of boundary integral and finite element methods In prepration
  • Gatica G.N. Seguel C. On the numerical analysis of a nonconforming Galerkin scheme for the Stokes problem In preparation.
  • Araya , R. and Trudinger , N. 1992 . “ Mathematical and Numerical Analysis of a Nonconforming Galerkin Scheme for Constrained Variational Problems (spanish). M.Sc. Thesis ” . Chile : Universidad de Concepción .
  • Schechter , M. and Tintarev , K. 1991 . Eigenvalues for semilinear boundary value problems . Arch. Rat. Mech. Anal. , 113 : 197 – 208 .

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