Nonconformal schemes of the finite-element method for nonlinear hyperbolic conservation laws |
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Authors: | E M Fedotov |
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Institution: | 1.Kazan Federal University,Kazan,Russia |
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Abstract: | We suggest a method for constructing grid schemes for initial-boundary value problems for many-dimensional nonlinear systems
of first-order equations of hyperbolic type on the basis of the Galerkin-Petrov limit approximation to the mixed statement
of an original problem. Our grid schemes are versions of the nonconformal finite-element method in which the approximate solution
is constructed in the space of piecewise polynomial functions that admit discontinuities on the boundary of triangulation
elements of the design domain. |
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Keywords: | |
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