Immersed finite element methods for 4th order differential equations
β Scribed by T. Lin; Y. Lin; W.-W. Sun; Z. Wang
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 304 KB
- Volume
- 235
- Category
- Article
- ISSN
- 0377-0427
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π SIMILAR VOLUMES
## Abstract Galerkin finite element methods based on symmetric pyramid basis functions give poor accuracy when applied to second order elliptic equations with large coefficients of the first order terms. This is particularly so when the mesh size is such that oscillations are present in the numeric
An a posteriori error analysis for Boussinesq equations is derived in this article. Then we compare this new estimate with a previous one developed for a regularized version of Boussinesq equations in a previous work.
Finite-element approximations for a fourth-order differential equation based on the space of piecewise linear polynomials on the uniform grid are introduced. And error estimates for the approximation are also given.