论文信息 - Numerical Solution of an Elliptic Problem with a Non-classical Boundary Condition

Numerical Solution of an Elliptic Problem with a Non-classical Boundary Condition

We investigate an elliptic problem with a boundary condition given by a sum of normal derivative and an elliptic operator in tangential variables (also known as "Venttsel" boundary condition). The differential problem is discretized by a specific finite difference method. Error estimates of the numerical method in the discrete Sobolev space W21 are obtained. The rate of convergence in this space is optimal, i.e. it is m - 1 for solutions from W2m, 1 < m < 2.5.

Natalia T. Kolkovska

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