Convex Regularization of Multi-Channel Images Based on Variants of the TV-Model
, 2017 We discuss existence and regularity results for multi-channel images in the setting of isotropic and anisotropic variants of the TV ...
Fuchs, Martin +3 more
core +1 more source
The BEM with graded meshes for the electric field integral equation on polyhedral surfaces [PDF]
, 2015 We consider the variational formulation of the electric field integral equation on a Lipschitz polyhedral surface $\Gamma$. We study the Galerkin boundary element discretisations based on the lowest-order Raviart-Thomas surface elements on a sequence of ...
Bespalov, Alex, Nicaise, Serge
core +4 more sources
Fuzzy Superpixel Segmentation with Anisotropic Total Variation Regularization
MathematicsThis paper presents a superpixel segmentation algorithm that integrates anisotropic total variation regularization within a fuzzy clustering framework.
Tsz Ching Ng +4 more
doaj +1 more source
Isomorphism theorems for some parabolic initial-boundary value problems in Hörmander spaces
Open Mathematics, 2017 In Hörmander inner product spaces, we investigate initial-boundary value problems for an arbitrary second order parabolic partial differential equation and the Dirichlet or a general first-order boundary conditions.
Los Valerii, Murach Aleksandr
doaj +1 more source
Resolution of a high-order parabolic equation in conical time-dependent domains of R3
Arab Journal of Mathematical Sciences, 2016 New results on the existence, uniqueness and maximal regularity of a solution are given for a two-space dimensional high-order parabolic equation set in conical time-dependent domains.
Arezki Kheloufi +1 more
doaj +1 more source
H\"older regularity for Maxwell's equations under minimal assumptions on the coefficients
, 2018 We prove global H\"older regularity for the solutions to the time-harmonic anisotropic Maxwell's equations, under the assumptions of H\"older continuous coefficients. The regularity hypotheses on the coefficients are minimal. The same estimates hold also
Alberti, Giovanni S.
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Phase Field Failure Modeling: Brittle‐Ductile Dual‐Phase Microstructures under Compressive Loading
Advanced Engineering Materials, EarlyView.The approach by Amor and the approach by Miehe and Zhang for asymmetric damage behavior in the phase field method for fracture are compared regarding their fitness for microcrack‐based failure modeling. The comparison is performed for the case of a dual‐phase microstructure with a brittle and a ductile constituent.
Jakob Huber, Jan Torgersen, Ewald Werner
wiley +1 more source
Embeddings of anisotropic Sobolev spaces into spaces of anisotropic Hölder-continuous functions
Demonstratio MathematicaWe introduce a novel framework for embedding anisotropic variable exponent Sobolev spaces into spaces of anisotropic variable exponent Hölder-continuous functions within rectangular domains.
Eddine Nabil Chems, Repovš Dušan D.
doaj +1 more source
Positive solutions for parametric (p(z),q(z))-equations
Open Mathematics, 2020 We consider a parametric elliptic equation driven by the anisotropic (p,q)(p,q)-Laplacian. The reaction is superlinear. We prove a “bifurcation-type” theorem describing the change in the set of positive solutions as the parameter λ\lambda moves in ℝ+=(0,
Gasiński Leszek +2 more
doaj +1 more source
Advanced Functional Materials, EarlyView.In this study, the interplay of dipolar dynamics and ionic charge transport in MOF compounds is investigated. Synthesizing the novel structure CFA‐25 with integrated freely rotating dipolar groups, local and macroscopic effects, including interactions with Cs cations are explored.
Ralph Freund +6 more
wiley +1 more source