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Numerical solution of steady-state porous flow free boundary problems

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Summary

A new numerical method is used to solve stationary free boundary problems for fluid flow through porous media. The method also applies to inhomogeneous media, and to cases with a partial unsaturated flow.

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References

  1. Alt, H.W.: Strömungen durch inhomogene poröse Medien mit freiem Rand. J. Reine Angew. Math.305, 89–115 (1979)

    Google Scholar 

  2. Alt, H.W.: A new numerical method for solving the dam problem. Proceeding Seminar on Free Boundary Problems. Sept.–Oct. 1979 (in press, 1980)

  3. Brezzi, F., Sacchi, G.: A finite element approximation of a variational inequality related to hydraulics. Laboratorio Anal. Numer. Consiglio Naz. Ricerche Pubbl.97 (1976)

  4. Caffarelli, L.A., Riviere, N.M.: Existence and uniqueness for the problem of filtration through a porous medium. Notices Amer. Math. Soc.24, A576 (1977)

    Google Scholar 

  5. Comincioli, V.: A comparison of algorithm for some free boundary problems. Laboratorio Anal. Numer. Consiglio Naz. Ricerche Pubbl.79 (1976)

  6. Comincioli, V., Guerri, L.: Numerical solution of free boundary problems in seepage flow with capillary fringe. Laboratorio Anal. Numer. Consiglio Naz. Ricerche Pubbl.96 (1976)

  7. Comincioli, V., Guerri, L., Volpi, G.: Analisi numerica di un problema die frontiera libera connessa col moto di un fluido attraverso un mezzo poroso. Laboratorio Anal. Numer. Consiglio Naz. Ricerche Pubbl.17 (1971)

  8. Cryer, C.W.: A survey of steady-state porous flow free boundary problems. M.R.C. Univ. Wisconsin,1657 (1976)

  9. Cryer, C.W.: A survey of trial free boundary methods for the numerical solution of free boundary problems. M.R.C. Univ. Wisconsin,1693 (1976)

  10. Cryer, C.W., Fetter, H.: The numerical solution of axis-symmetric free boundary porous flow well problems using variational inequalities. M.R.C. Univ. Wisconsin,1761 (1977)

  11. Kikuchi, N.: An analysis of the variational inequalities of seepage flow by finite-element methods. Quart. Appl. Math.35, 149–163 (1977)

    Google Scholar 

  12. Morrey, C.B.: Multiple integrals in the calculus of variations. Berlin Heidelberg New York: Springer 1966

    Google Scholar 

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Authors and Affiliations

  1. Institut für Angewandte Mathematik, Universität Heidelberg, Im Neuenheimer Feld 294, D-6900, Heidelberg, Germany (Fed. Rep.)

    Hans Wilhelm Alt

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  1. Hans Wilhelm Alt
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Alt, H.W. Numerical solution of steady-state porous flow free boundary problems. Numer. Math. 36, 73–98 (1980). https://doi.org/10.1007/BF01395990

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  • DOI: https://doi.org/10.1007/BF01395990

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