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

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[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).
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