التفاصيل البيبلوغرافية
| العنوان: |
Semi and fully discrete error analysis for elastodynamic interface problems using immersed finite element methods. |
| المؤلفون: |
Chen, Yuan1 (AUTHOR) chen.11050@buckeyemail.osu.edu, Hou, Songming2 (AUTHOR) shou@latech.edu, Zhang, Xu1,3 (AUTHOR) xzhang@okstate.edu |
| المصدر: |
Computers & Mathematics with Applications. Oct2023, Vol. 147, p92-110. 19p. |
| مصطلحات موضوعية: |
*FINITE element method, *ELASTODYNAMICS, *ERROR analysis in mathematics, *CRANK-nicolson method |
| مستخلص: |
In this paper, we present an immersed finite element (IFE) method for solving the elastodynamics interface problems on interface-unfitted meshes. For spatial discretization, we use vector-valued P 1 and Q 1 IFE spaces. We establish some important properties of these IFE spaces, such as inverse inequalities, which will be crucial in the error analysis. For temporal discretization, both the semi-discrete and the fully discrete schemes are derived. The proposed schemes are proved to be unconditionally stable and enjoy optimal rates of convergence in the energy, L 2 and semi- H 1 norms. Numerical examples are designed to verify our theoretical analysis and to demonstrate the stability and robustness of our schemes. [ABSTRACT FROM AUTHOR] |
| قاعدة البيانات: |
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