Publication Cover
Applicable Analysis
An International Journal
Volume 14, 1982 - Issue 1
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Original Articles

A least squares approximation method for first-order elliptic systems of plane

Pages 27-42 | Received 25 Feb 1982, Published online: 02 May 2007

References

  • $Agrave;Agmon , S. , Douglis and Nirenberg , L. 1964 . Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II . Comm. Pure Appl. Math. , 17 : 35 – 92 .
  • Aziz , A. K. and Leventhal , S. 1978 . Finite element approximation for first-order systems . SIAM J. Numer. Anal , 15 ( 6 ) : 1103 – 1111 .
  • Ciarlet , P. G. The Finite Element Method for Elliptic Problems
  • Lions , J. L. and Magenes , E. Non-homogeneous Boundary Value Problems and Applications, I
  • Neittaanmaki , P. and Picard , R. 1980 . Error estimates for the finite element approximation to a Maxwell-type boundary value problem . Numer, Fund. Anal, and Optimiz. , 2 ( 4 ) : 267 – 285 .
  • Neittaanm$amul;ki , P. and Saranen , J. 1980 . Finite element approximation of electromagnetic fields in three-dimensional space . Numer. Fund. Anal, and Optimiz , 2 ( 6 ) : 487 – 506 .
  • Neittaanm$auml;ki , P. and Saranen , J. 1981 . On finite element approximation of the gradient for solution of Poisson equation $title:Numer. Math . Numer. Math , 37 ( 6 ) : 333 – 337 .
  • Neittaanm$auml;ki , P. and Saranen , J. 1981 . Finite element approximation of vector fields given by curl and divergence . Math. Methods Appl. Sci , 3 ( 6 ) : 328 – 335 .
  • Rannacher , R. 1976 . Zur L$infin;-Konvergenz linearer finiter Elemente beim Dirichletproblem . Math.Z , 149 ( 6 ) : 69 – 77 .
  • Roitberg , Ja A. and Šeftel , Z. G. 1969 . A theorem on homeomorphisms for elliptic systems and applications . Math. USSR Sbornik , 1 ( 3 ) : 439 – 65 .
  • Saranen , J. 1980 . Über die Approximation der L$omul;sungen der Maxwellschen Randwertaufgabe mit der Methode der finiten Elemente . Applicable Anal , 10 ( 3 ) : 15 – 30 .
  • Volevic , L. R. 1968 . Solubility of boundary value problems for general elliptic systems . Amer. Math. Soc. Transl , 67 ( 2 ) : 182 – 225 .
  • Wendland , W. L. 1979 . Elliptic Systems in the Plane. , London : Pitman . Monographs and Studies in Mathematics 3
  • Wendland W.L Numerical methods for boundary value problems of elliptic systems in the plane to appear

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