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A posteriori error estimates for boundary-value problems related to the biharmonic operator
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P. Neittaanmäki
Veröffentlicht/Copyright:
15. November 2010
Abstract
This paper is concerned with boundary-value problems related to the biharmonic operator. The main goal of the paper is to derive a posteriori error estimates valid for any conforming approximations of the considered problems. For this purpose, the general approach that follows from the duality theory of the calculus of variations is used. The consistency of the derived a posteriori error estimates is proved and the corresponding computational strategies are discussed.
Received: 2001-02-14
Published Online: 2010-11-15
Published in Print: 2001-June
© VSP 2001
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Artikel in diesem Heft
- Finite element methods for variational problems based on nonconforming dual mixed discretisations
- On the relationship of various discontinuous finite element methods for second-order elliptic equations
- A priori error estimates for the Arbitrary Lagrangian Eulerian formulation with finite elements
- A posteriori error estimates for boundary-value problems related to the biharmonic operator
Artikel in diesem Heft
- Finite element methods for variational problems based on nonconforming dual mixed discretisations
- On the relationship of various discontinuous finite element methods for second-order elliptic equations
- A priori error estimates for the Arbitrary Lagrangian Eulerian formulation with finite elements
- A posteriori error estimates for boundary-value problems related to the biharmonic operator
