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Finite element methods for the solution of problems with rough input data

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References

  1. I. Babuška, Error-bounds for finite element method, Numer. Math., 16 (1971), pp. 322–333.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. I. Babuška and A. 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, Academic Press, New York, 1973, A.K. Aziz, Editor, pp. 5–359.

    Google Scholar 

  3. I. Babuška and J. Osborn, Generalized finite element methods: Their performance and their relation to mixed methods, SIAM J. Numer. Anal. 10 (1983), pp. 510–536.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. P.G. Ciarlet, The Finite Element Method for Elliptic Problems, North Holland, New York, 1978.

    MATH  Google Scholar 

  5. M. Dobrowolski, Numerical Approximations of Elliptic Interface Problems, Habilitationsschrift, University of Bonn, 1981.

    Google Scholar 

  6. K. Eriksson and V. Thomée, Balerkin methods for singular boundary value problems in one space dimension, Technical Report No. 1982-11, Department of Mathematics, Chalmers University of Technology and the University of Göteborg.

    Google Scholar 

  7. G.J. Fix, S. Galati and T.I. Wakoff, On the use of singular functions with finite element approximation, J. Computational Phys. 13 (1976), pp. 209–228.

    CrossRef  MATH  Google Scholar 

  8. A. Kolmogorov, Über die beste Annäherung vor Funktion einer gegeben Funktionenklasse, Ann. of Math. 37 (1936), pp. 107–110.

    CrossRef  MathSciNet  Google Scholar 

  9. O. McBryan, Elliptic and hyperbolic interface refinement in Boundary Layers and Interior Layers-Computation and Asymptotic Methods, Boole Press, Dublin, 1980, J. Miller, Editor.

    Google Scholar 

  10. A.H. Schatz and L.B. Wahlbin, Maximum norm estimates in the finite element method on plane polygonal domains. Part 1, Math. Comp. 32 (1978), pp. 73–109.

    MathSciNet  MATH  Google Scholar 

  11. R. Schreiber, Finite element methods of high-order accuracy for singular two-point boundary balue problems with nonsmooth solutions, SIAM Numer. Anal. 17 (1980), pp. 547–566.

    CrossRef  MathSciNet  MATH  Google Scholar 

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© 1985 Springer-Verlag

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Babuška, I., Osborn, J.E. (1985). Finite element methods for the solution of problems with rough input data. In: Grisvard, P., Wendland, W.L., Whiteman, J.R. (eds) Singularities and Constructive Methods for Their Treatment. Lecture Notes in Mathematics, vol 1121. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076258

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  • DOI: https://doi.org/10.1007/BFb0076258

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