Abstract
A splitting of a third-order partial differential equation into a first-order and a second-order one is proposed as the basis for a mixed finite element method to approximate its solution. A time-continuous numerical method is described and error estimates for its solution are demonstrated. Finally, a full discretization is described based on backward Euler finite differences in time, and error estimates for the resulting approximation are established.
Original language | English (US) |
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Pages (from-to) | 89-96 |
Number of pages | 8 |
Journal | Numerical Methods for Partial Differential Equations |
Volume | 14 |
Issue number | 1 |
DOIs | |
State | Published - Jan 1998 |
Externally published | Yes |
Keywords
- Finite element method
- Third-order differential equation
ASJC Scopus subject areas
- Analysis
- Numerical Analysis
- Computational Mathematics
- Applied Mathematics