In this paper, a numerical method is developed for solving one-dimensional hyperbolic system of conservation laws by the Taylor-Galerkin finite element method. The scheme is obtained by solving conservation equations ...
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In this paper, a numerical method is developed for solving one-dimensional hyperbolic system of conservation laws by the Taylor-Galerkin finite element method. The scheme is obtained by solving conservation equations associated HamiltonJacobi equations. The scheme has the TVD-like property under the uniform meshes. Numerical examples are given.
Some nonlinear coupled problems of hyperbolic and parabolic equations are considered, the finite element scheme and A. D. I. finite element scheme are studied. The existence and uniqueness of the approximational schem...
详细信息
Some nonlinear coupled problems of hyperbolic and parabolic equations are considered, the finite element scheme and A. D. I. finite element scheme are studied. The existence and uniqueness of the approximational schemes are obtained, together with the optimal H 1-norm and L 2-norm convergence results.
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