Free Access
Issue
RAIRO. Anal. numér.
Volume 13, Number 1, 1979
Page(s) 31 - 54
DOI https://doi.org/10.1051/m2an/1979130100311
Published online 01 February 2017
  1. Part a: literature cited
  2. 1. D. ARCHER, An O(h4) cubic spline collocation method for quasilinear parabolic equations, S.I.A.M, J. Numer. Anal., 14, 1977, p. 620-637. [MR: 461934] [Zbl: 0366.65054]
  3. 2. J. H. BRAMBLE and R. SCOTT, Simultaneous approximation in scales of Banach spaces (to appear). [MR: 501990] [Zbl: 0404.41005]
  4. 3. J. H. BRAMBLE,A. SCHATZ, V. THOMEE and L. B. WAHLBIN, Some convergence estimates for semidiscrete Galerkin type approximations for parabolic equations, S.I.A.M., J. Numer. Anal, 14, 1977, p. 218-241. [MR: 448926] [Zbl: 0364.65084]
  5. 4. J. C. CAVENDISH and C. A. HALL, L∞-convergence of collocation and Galerkin approximations to linear two-point parabolic problems, Aequationes Math , 11, 1974, p. 230-249. [EuDML: 136462] [MR: 362951] [Zbl: 0301.65064]
  6. 5. P. G. CIARLET and P.-A. RAVIART , Interpolation theory over curved elements with applications to finite element methods, Comp. Meth. Appl. Mech. Eng., l, 1972, p. 217-249. [MR: 375801] [Zbl: 0261.65079]
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  8. 7. J. Jr. DOUGLAS,T. DUPONT and M. WHEELER, Some superconvergence results for an H1-Galerkin procedure for the heat equation, Lecture Notes in Comp. Sci, 10, 1974,p. 491-504. [MR: 451774] [Zbl: 0285.65068]
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  20. Part b: additionat literature
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  33. 31. J. DOUGLAS Jr. and T. DUPONT, Collocation methods for parabolic equations in a single space variable (based on C1-piecewise-polynomial spaces), Lecture Notes in Math., 385, 1974. [MR: 483559] [Zbl: 0279.65097]
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  40. 38. H.-P. HELFRICH, Fehlerabschätzungen für das Galerkinverfahren zur Lösung von Evolutionsgleichungen, Manuscripta math., 13, 1974, p. 219-235. [EuDML: 154266] [MR: 356513] [Zbl: 0323.65037]
  41. 39. H.-P. HELFRICH, Lokale Konvergenz des Galerkinverfahrens bei Gleichungen vom parabolischen Typ in Hilberträumen (to appear).
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  47. 45. P.A. RAVIART, Approximation des équations d'évolution par des méthodes variationnelles, Numer. Anal, of part. diff. equations, éd. J. L. Lions, C.I.M.E., 1968, p. 359-406. [MR: 245227]
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  49. 47. R. E. SHOWALTER, A priori error estimates for approximation of parabolic boundary value problems, S.I.A.M., J. Numer. Anal., 12, 1975, p. 456-463. [MR: 391534] [Zbl: 0323.35044]
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