- Title
- A finite element method for a biharmonic equation based on gradient recovery operators
- Creator
- Lamichhane, Bishnu P.
- Relation
- Bit: numerical mathematics Vol. 54, Issue 2, p. 469-484
- Publisher Link
- http://dx.doi.org/10.1007/s10543-013-0462-0
- Publisher
- Springer
- Resource Type
- journal article
- Date
- 2014
- Description
- A new non-conforming finite element method is proposed for the approximation of the biharmonic equation with clamped boundary condition. The new formulation is based on a gradient recovery operator. Optimal a priori error estimates are proved for the proposed approach. The approach is also extended to cover a singularly perturbed problem.
- Subject
- biharmonic equation; clamped boundary conditions; strang’s lemma; nonconforming method; a priori estimate; biorthogonal system
- Identifier
- http://hdl.handle.net/1959.13/1067221
- Identifier
- uon:18345
- Identifier
- ISSN:0006-3835
- Language
- eng
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