A conforming finite element method with Lagrange multipliers for the biharmonic problem

Juhani Pitkaranta

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1980)

  • Volume: 14, Issue: 3, page 309-324
  • ISSN: 0764-583X

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Pitkaranta, Juhani. "A conforming finite element method with Lagrange multipliers for the biharmonic problem." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 14.3 (1980): 309-324. <http://eudml.org/doc/193364>.

@article{Pitkaranta1980,
author = {Pitkaranta, Juhani},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {conforming finite element method; biharmonic problem; method of Lagrange multipliers},
language = {eng},
number = {3},
pages = {309-324},
publisher = {Dunod},
title = {A conforming finite element method with Lagrange multipliers for the biharmonic problem},
url = {http://eudml.org/doc/193364},
volume = {14},
year = {1980},
}

TY - JOUR
AU - Pitkaranta, Juhani
TI - A conforming finite element method with Lagrange multipliers for the biharmonic problem
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1980
PB - Dunod
VL - 14
IS - 3
SP - 309
EP - 324
LA - eng
KW - conforming finite element method; biharmonic problem; method of Lagrange multipliers
UR - http://eudml.org/doc/193364
ER -

References

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  1. 1. I. BABU KA, The Finite Element Method with Lagrange Multipliers, Numer. Math., Vol. 20, 1973, pp. 179-192. Zbl0258.65108MR359352
  2. 2. I. BABUšKA and A. K. AZIZ, Survey Lectures on the Mathematical Foundations of the Finite Element Method in The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations, A. K. AZIZ, Ed., Academic Press, New York, 1972. Zbl0268.65052MR421106
  3. 3. F. BREZZI, On the Existence, Uniqueness and Approximations of Saddle-Point Problems Arising from Lagrange Multipliers, Rev. Française Automat. Informat. Recherche Opérationnelle, Sér. Anal. Numér., Vol. 8, 1974, pp. 129-151. Zbl0338.90047MR365287
  4. 4. P.G. CIARLET, The Finite Element Methodfor Elliptic Problems, North-Holland, 1978. Zbl0383.65058MR520174
  5. 5. J. L. LIONS and E. MAGENES, Problèmes aux limites non homogènes et applications, Vol. 1, Dunod, Paris, 1968. Zbl0165.10801MR247243
  6. 6. J. PITKÄRANTA, Boundary Subspaces for the Finite Element Method with Lagrange multipliers, Numer. Math., Vol. 33, 1979, pp.273-289. Zbl0422.65062MR553590
  7. 7. J. PITKÄRANTA, Local Stability Conditions for the Babuska Method of Lagrange Multipliers, Report HTKK-MAT-A137, 1979, Institute of Mathematics, Helsinki University of Technology, to appear in Math. Comp. Zbl0473.65072MR583490
  8. 8. J. PITKÄRANTA, TheFinite Element Method with Lagrange Multiplier sfor Domains with Corners, Report HTKK-MAT-A141, 1979, Institute of Mathematics, Helsinki University of Technology. 

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