Sufficient condition of stability of finite element method for symmetric T-hyperbolic systems with constant coefficients
Aloev, Rakhmatillo D. and Eshkuvatov, Zainidin K. and Davlatov, Sh. O. and Nik Long, Nik Mohd Asri (2014) Sufficient condition of stability of finite element method for symmetric T-hyperbolic systems with constant coefficients. Computers and Mathematics with Applications, 68 (10). pp. 1194-1204. ISSN 0898-1221; ESSN: 1873-7668
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In this note, Finite Element Method is applied to solve the symmetric t-hyperbolic system with dissipative boundary condition and its stability is proved. In two-dimensional space, complex program is developed for the numerical solution of the mixed problem in simple connected region on the uniform grid. Delphi-7 is used for the code of the complex program. Numerical results are in line with the theoretical findings.
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