Second order variational analysis of disjunctive constraint sets and its applications to optimization problems
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DOI: 10.1007/s11590-020-01681-1
Abstract: In this paper, we examine the properly twice epi-differentiability and compute the second order epi-subderivative of the indicator function to a class of sets including the finite union of parabolically derivable and parabolically regular sets.… read more here.
Keywords: order; second order; order variational; analysis disjunctive ... See more keywords
Second-order L∞ variational problems and the ∞-polylaplacian
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DOI: 10.1515/acv-2016-0052
Abstract: Abstract In this paper we initiate the study of second-order variational problems in L∞{L^{\infty}}, seeking to minimise the L∞{L^{\infty}} norm of a function of the hessian. We also derive and study the respective PDE arising… read more here.
Keywords: order; second order; order variational; mathrm infty ... See more keywords
High-Order Variational Multiscale Model in Finite Elements Applied to the LEISA-2 Configuration
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DOI: 10.2514/1.j057090
Abstract: A variational multiscale sugbrid model including an explicit filtering is studied in the framework of an equal-order finite element formulation for solving compressible Navier–Stokes equations in e... read more here.
Keywords: multiscale; order variational; model; high order ... See more keywords
Fractional-Order Variational Image Fusion and Denoising Based on Data-Driven Tight Frame
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DOI: 10.3390/math11102260
Abstract: Multi-modal image fusion can provide more image information, which improves the image quality for subsequent image processing tasks. Because the images acquired using photon counting devices always suffer from Poisson noise, this paper proposes a… read more here.
Keywords: image fusion; order variational; fractional order; image ... See more keywords