|
|||||
|
|
Finite element method for some nonlinear integro-differential equations |
|
| Authors: | Jiang Chengshun |
| Institution: | Jiang Chengshun |
| Abstract: | . This paper studies the finite element method for some nonlinear hyperbolic partial differential equations with memory and dampling terms.A Crank-Nicolson approximation for this kind of equations is presented.By using the elliptic Ritz-Volterra projection,the analysis of the error estimates for the finite element numerical solutions and the optimal H1-norm error estimate are demonstrated. |
| Keywords: | Nonlinear hyperbolic equation memory term damping term Crank-Nicolson approximation Ritz-Volterra projection finite element method |
| 本文献已被 CNKI 维普 SpringerLink 等数据库收录！ | |