A mass-conservative characteristic splitting mixed finite element method for convection-dominated Sobolev equation
| Autor: | Yuezhi Zhang, Jiansong Zhang, Hui Guo, Hongfei Fu |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Convection
Numerical Analysis General Computer Science Applied Mathematics 010103 numerical & computational mathematics 02 engineering and technology Mixed finite element method Positive-definite matrix 01 natural sciences Finite element method Theoretical Computer Science Sobolev space Modeling and Simulation Norm (mathematics) Time derivative 0202 electrical engineering electronic engineering information engineering Applied mathematics 020201 artificial intelligence & image processing 0101 mathematics Mathematics Convection dominated |
| Zdroj: | Mathematics and Computers in Simulation. 160:180-191 |
| ISSN: | 0378-4754 |
| DOI: | 10.1016/j.matcom.2018.12.016 |
| Popis: | In this article, a new characteristic splitting mixed finite element method is proposed for solving convection-dominated Sobolev equation. In this algorithm the mass-conservative characteristic (MCC) scheme is applied to approximate the time derivative term plus the convection term, and the splitting mixed finite element (SMFE) technique is used to approximate the primal unknown function and the introduced unknown flux. This procedure not only keeps the mass balance but also results in a splitting symmetric positive definite mixed system where we do not need to solve a coupled system. The convergence analysis is considered and the corresponding optimal error estimates in L 2 norm for the primal unknown and in H ( div ) norm for the unknown flux are derived, respectively. Numerical examples are provided to confirm the theoretical results. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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