A posteriori error estimates for continuous/discontinuous Galerkin approximations of the Kirchhoff–Love buckling problem

Author:

Hansbo Peter,Larson Mats G.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Computational Theory and Mathematics,Mechanical Engineering,Ocean Engineering,Computational Mechanics

Reference11 articles.

1. Babuška I, Osborn J (1991) Eigenvalue problems. In: Ciarlet PG, Lions JL (eds) Handbook of numerical analysis, vol II. North-Holland, Amsterdam, pp 641–787

2. Brenner S, Monk P, Sun J $${C}^0$$ C 0 IPG methods for biharmonic egenvalue problems. Submitted for publication

3. Engel G, Garikipati K, Hughes TJR, Larson MG, Mazzei L, Taylor RL (2002) Continuous/discontinuous finite element approximations of fourth-order elliptic problems in structural and continuum mechanics with applications to thin beams and plates, and strain gradient elasticity. Comput Methods Appl Mech Eng 191(34):3669–3750

4. Hansbo P, Heintz D, Larson MG (2010) An adaptive finite element method for second-order plate theory. Int J Numer Methods Eng 81(5):584–603

5. Hansbo P, Larson MG (2002) A discontinuous Galerkin method for the plate equation. Calcolo 39(1):41–59

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1. Virtual element method on polyhedral meshes for bi-harmonic eigenvalues problems;Computers & Mathematics with Applications;2022-09

2. Virtual element for the buckling problem of Kirchhoff–Love plates;Computer Methods in Applied Mechanics and Engineering;2020-03

3. Very high order discontinuous Galerkin method in elliptic problems;Computational Mechanics;2017-09-19

4. A Posteriori Error Control at Numerical Solution of Plate Bending Problem;Applied Mechanics and Materials;2015-01

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