We consider the image denoising problem using total variation (TV) regularization. This problem can be computationally challenging to solve due to the non-differentiability and non-linearity of the regularization term. We propose an alternating direction augmented Lagrangian (ADAL) method, based on a new variable splitting approach that results in subproblems that can be solved efficiently and ...

ABSTRACT We introduce a new troubled-cell indicator for the discontinuous Galerkin (DG) methods for solving hyperbolic conservation laws. This indicator can be defined on unstructured meshes for high order DG methods and depends only on data from the target cell and its immediate neighbors. It is able to identify shocks without PDE sensitive parameters to tune. Extensive oneand two-dimensional ...

We prove a sharp upper bound for the approximation error E|g(X) − g(X̂)|p in terms of moments of X − X̂, where X and X̂ are random variables and the function g is a function of bounded variation. We apply the results to the approximation of a solution of a stochastic differential equation at time T by the Euler scheme, and show that the approximation of the payoff of the binary option has asymptot...

We construct an interpolation operator that does not increase the total variation and is defined on continuous first degree finite elements over Cartesian meshes for any dimension d and right triangular meshes for d = 2. The operator is stable and exhibits second order approximation properties in any Lp, 1 ≤ p ≤ ∞. With the help of it we provide improved error estimates for discrete minimizers ...

We develop a general L–framework for deriving continuous dependence and error estimates for quasilinear anisotropic degenerate parabolic equations with the aid of the Chen-Perthame kinetic approach [9]. We apply our L–framework to establish an explicit estimate for continuous dependence on the nonlinearities and an optimal error estimate for the vanishing anisotropic viscosity method, without t...

We develop a general L1–framework for deriving continuous dependence and error estimates for quasilinear anisotropic degenerate parabolic equations with the aid of the Chen-Perthame kinetic approach [9]. We apply our L1–framework to establish an explicit estimate for continuous dependence on the nonlinearities and an optimal error estimate for the vanishing anisotropic viscosity method, without...

Convex duality is a powerful framework for solving non-smooth optimal control problems. However, for problems set in non-reflexive Ba-nach spaces such as L 1 (Ω) or BV(Ω), the dual problem is formulated in a space which has difficult measure theoretic structure. The predual problem , on the other hand, can be formulated in a Hilbert space and entails the minimization of a smooth functional with...

The transient thermoelastic response of thick hollow cylinder made of functionally graded material under thermal loading is studied. The generalized coupled thermoelasticity based on the Green-Lindsay model is used. The thermal and mechanical properties of the functionally graded material are assumed to be varied in the radial direction according to a power law variation as a function of the vo...

abstract background and aims: the cydia pomonella granulovirus (cpgv) is a baculovirus and very effective biological control agent against apple pest, codling moth, cydia pomonella l. especially for healthy organic apple production and protection.  not only, screening of cpgv isolates via biochemical variation, but also their biological variation is practically necessary.  however, the bioassay...