Displaying similar documents to “Motion with friction of a heavy particle on a manifold - applications to optimization”

and error estimates for mixed methods for integro-differential equations of parabolic type

Ziwen Jiang (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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Error estimates in (Ω)), (Ω)), (Ω)), (Ω)), in ℝ 2 , are derived for a mixed finite element method for the initial-boundary value problem for integro-differential equation u t = div { a ▽ u + ∫ 0 t b 1 ▽ u d τ + ∫ 0 t 𝐜 u d τ } + f based on the Raviart-Thomas space x ⊂ (div;Ω) x . Optimal order estimates are obtained for the approximation of in (Ω)) and the associated velocity in (Ω)), div in ...

A note on convergence of low energy critical points of nonlinear elasticity functionals, for thin shells of arbitrary geometry

Marta Lewicka (2011)

ESAIM: Control, Optimisation and Calculus of Variations

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We prove that the critical points of the 3d nonlinear elasticity functional on shells of small thickness and around the mid-surface of arbitrary geometry, converge as → 0 to the critical points of the von Kármán functional on , recently proposed in [Lewicka ,  (to appear)]. This result extends the statement in [Müller and Pakzad, (2008) 1018–1032], derived for the case of plates when S ⊂ ℝ 2 . The convergence holds provided the elastic energies of the 3d deformations...

A note on convergence of low energy critical points of nonlinear elasticity functionals, for thin shells of arbitrary geometry

Marta Lewicka (2011)

ESAIM: Control, Optimisation and Calculus of Variations

Similarity:

We prove that the critical points of the 3d nonlinear elasticity functional on shells of small thickness and around the mid-surface of arbitrary geometry, converge as → 0 to the critical points of the von Kármán functional on , recently proposed in [Lewicka ,  (to appear)]. This result extends the statement in [Müller and Pakzad, (2008) 1018–1032], derived for the case of plates when S ⊂ ℝ 2 . The convergence holds provided the elastic energies of the 3d deformations...