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Solution of boundary value problems in the case of large discontinuities of coefficients. (Russian. English summary) Zbl 0562.65084

Summary: The reduction of boundary value problems for elliptic equations with large discontinuity of coefficients to the solution of boundary value or initial problems in subspaces, where the coefficients are not discontinuous are considered. Methods of approximating the solutions in subspaces are described. Some numerical results are presented.

MSC:

65N99 Numerical methods for partial differential equations, boundary value problems
65L10 Numerical solution of boundary value problems involving ordinary differential equations
34B05 Linear boundary value problems for ordinary differential equations
35J25 Boundary value problems for second-order elliptic equations
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