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The finite element method for elliptic equations with discontinuous coefficients. (English) Zbl 0199.50603

Full Text: DOI
[1] Rivkind, V. Ja.: On an estimate of the rapidity of convergence of homogenous difference schemes for elliptical and parabolic equations with discontinuous coefficients (Russian). Problems Math. Anal., Boundary Value Problems, Integr. Equations (Russian), pp. 110--119, Izd. Leningr. Univ. Leningrad. 1966.
[2] Babuška, I.: Numerical solution of boundary value problems by perturbed variational principle. Technical note BN-624, Univ. of Maryland, The Inst. for Fluid. Dyn. and Appl. Math. 1969.
[3] Lions, J. L., andE. Magenes: Problèmes aux limits non homogènes et applications. V.I. Paris: Dunod. 1968.
[4] Babuška, I.: Approximation by hill functions. Technical note BN-648, Univ. of Maryland, The Inst. for Fluid. Dyn. and Appl. Math. 1970. · Zbl 0215.46404
[5] Šefteł, Z. G.: A general theory of boundary value problems for elliptic systems with discontinuous coefficients (Russian), Ukrain. Math. Ž.18, 132--136 (1966). · Zbl 0156.34402 · doi:10.1007/BF02537868
[6] Šefteł, Z. G.: Energy inequalities and general boundary problems for elliptic equations with discontinuous coefficients (Russian). Sibirsk Math. Ž.6, 636--668 (1965).
[7] Šefteł, Z. G.: The solution inL p and the classical solution of general boundary value problems for elliptical equations with discontinuous coefficients (Russian). Uspechi Math. Nauk19, 230--232 (1964).