Simultaneous approximation in negative norms of arbitrary order

Hans-Peter Helfrich

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1981)

  • Volume: 15, Issue: 3, page 231-235
  • ISSN: 0764-583X

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Helfrich, Hans-Peter. "Simultaneous approximation in negative norms of arbitrary order." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 15.3 (1981): 231-235. <http://eudml.org/doc/193379>.

@article{Helfrich1981,
author = {Helfrich, Hans-Peter},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {optimal approximation; Hilbert scale},
language = {eng},
number = {3},
pages = {231-235},
publisher = {Dunod},
title = {Simultaneous approximation in negative norms of arbitrary order},
url = {http://eudml.org/doc/193379},
volume = {15},
year = {1981},
}

TY - JOUR
AU - Helfrich, Hans-Peter
TI - Simultaneous approximation in negative norms of arbitrary order
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1981
PB - Dunod
VL - 15
IS - 3
SP - 231
EP - 235
LA - eng
KW - optimal approximation; Hilbert scale
UR - http://eudml.org/doc/193379
ER -

References

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  1. [1] I. BABUSKA 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. Part I. (Ed. A. K. Aziz) Academic Press, New York, London, 1972. Zbl0268.65052MR421106
  2. [2] J. H. BRAMBLE and A. H. SCHATZ, Least squares methods for 2 m th order elliptic boundary-value problems, Math. Comp., 25 (1971), 1-32. Zbl0216.49202MR295591
  3. [3] J. H. BRAMBLE, A. H. SCHATZ, V. THOMÉE and L. H. WAHLBIN, Some convergence estimates for semidiscrete Galerkin type approximations for parabolic equations, SIAM J. Numer. Analysis, 14 (1977), 218-241. Zbl0364.65084MR448926
  4. [4] J. H. BRAMBLE and R. SCOTT, Simultaneous approximation in scales of Banach spaces, Math. Comp. 32 (1978), 947-954. Zbl0404.41005MR501990
  5. [5] S. G. KREIN, Linear Differential Equations in Banach space, American Math. Soc., Providence, 1971. Zbl0229.34050MR342804
  6. [6] J. L. LIONS and E. MAGENES, Nonhomogeneous Boundary Value Problems and Applications, Vol. I, Springer Verlag, Berlin and New York, 1972. Zbl0223.35039

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