Variational formulation of the Gardner's restacking algorithm

A variational formulation-based edge focussing algorithm

Many edge detection techniques exhibit scale-dependent distortion of edges. We develop two ideas, which may also be of independent interest, to produce sharp edge localization at all scales. The first is approximation of the functional associated with the variational formulation via epi-convergence, replacing the edge set with a function. We provide a fast algorithm for minimizing the approxima...

Variational Formulation of Problems and Variational Methods

The Variational Formulation of Viscoplastic Constitutive Updates

We present a class of constitutive updates for general viscoplastic solids including such aspects of material behavior as nite elastic and plastic deformations, non-Newtonian viscosity, rate-sensitivity and arbitrary ow and hardening rules. The distinguishing characteristic of the proposed constitutive updates is that, by construction, the corresponding incremental stress-strain relations deriv...

The Variational Formulation of Viscoplastic Constitutive Updates

We present a class of constitutive updates for general viscoplastic solids including such aspects of material behavior as nite elastic and plastic deformations, non-Newtonian viscosity, rate-sensitivity and arbitrary ow and hardening rules. The distinguishing characteristic of the proposed constitutive updates is that, by construction, the corresponding incremental stress-strain relations deriv...

Multigrid Discretization and Iterative Algorithm for Mixed Variational Formulation of the Eigenvalue Problem of Electric Field

and Applied Analysis 3 In scientific and engineering computations, many eigenvalue problems have the following first type of mixed variational formulation: find λ, u, σ ∈ R × V × W , u, σ / 0, 0 , such that a ( u, ψ ) b ( ψ, σ ) λ ( u, ψ ) D, ∀ψ ∈ V, 2.3 b u, v 0, ∀v ∈ W. 2.4 In order to solve problem 2.3 2.4 , one should construct finite element spaces Vh ⊂ V and Wh ⊂ W . Restricting 2.3 2.4 o...