the finite element method for dirichlet problem with degeneration of solution on the boundary
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ID: 170676
2012
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Abstract
Finite element method was created to solve the first-boundary-value problem for the second-order elliptic equation with degeneracy of input data, which solution has weak singularity on the curvilinear boundary of a two-dimensional convex domain. It has been determined that an approximate solution converges to the exact generalized solution in the norm of the Sobolev weighted space.
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rukavishnikova2012evropejskijthe
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| Authors | ;Elena I. Rukavishnikova |
| Journal | proceedings of the indian academy of sciences: mathematical sciences |
| Year | 2012 |
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