Approximation of linear hyperbolic interface problems on finite element: Some new estimates
| Autor: | Matthew O. Adewole |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
0209 industrial biotechnology
Discretization Interface (Java) Applied Mathematics 020206 networking & telecommunications 02 engineering and technology Time step Stability (probability) Finite element method Computational Mathematics 020901 industrial engineering & automation Maximum principle Scheme (mathematics) Convergence (routing) 0202 electrical engineering electronic engineering information engineering Applied mathematics Mathematics |
| Zdroj: | Applied Mathematics and Computation. 349:245-257 |
| ISSN: | 0096-3003 |
| Popis: | Finite element solution of a linear hyperbolic interface problem with time discretization based on 3-step implicit scheme is proposed. Quasi-uniform triangular elements are used for the spatial discretization. With low regularity assumption on the solution across the interface, the stability of the scheme is established and almost optimal convergence rates in L2(Ω) and H1(Ω) norms are obtained. In terms of matrices arising in the scheme, we show that the discrete solution satisfies the maximum principle under certain conditions on the mesh parameter h and time step k. Numerical experiments are presented to support the theoretical results. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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