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Decomposition and regularization of nonlinear anisotropic curl‐curl DAEs
COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, 2011PurposeThe space discretization of eddy‐current problems in the magnetic vector potential formulation leads to a system of differential‐algebraic equations. They are typically time discretized by an implicit method. This requires the solution of large linear systems in the Newton iterations. The authors seek to speed up this procedure. In most relevant
Clemens, Markus +3 more
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Regularity results for anisotropic image segmentation models
1995Abstract: "Models involving bulk and interfacial energies have been used to describe phenomena in fracture mechanics, phase transitions, and image segmentation. One of the main mathematical questions involved concerns the regularity of the crack site, or discontinuity set S[subscript u], for local minimizers u of energy functionals of the type G(v ...
I. FONSECA, FUSCO, NICOLA
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Nonlocal regularization of anisotropic sand models
2022Zhiwei Gao, Xin Li, Dechun Lu
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Optimal Regularity Theory for Anisotropic Fractional Laplacian
This paper investigates the optimal regularity properties of solutions to equations involving the anisotropic fractional Laplacian operator. The fractional Laplacian, a fundamental non-local operator in fractional calculus, has garnered significant attention across various scientific disciplines due to its capacity to model phenomena exhibiting long ...openaire +1 more source
Some remarks on the regularity of anisotropic variational problems
1993The author studies elliptic equations of the type \(\text{div}(a(x,u,Du))=\text{div}(g)\), \(u\in W^{1,(q_i)}_0(\Omega)\), and integral functionals of the calculus of variations of the form \(F(u)=\int_\Omega f(x,Du)dx\) when \(a\) or \(f\) satisfy the anisotropic coerciveness condition \(f(x,\xi)\geq m\sum^N_{i=1}|\xi_i|^{q_i}\).
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PDE-regularized regression for anisotropic spatial fields
2019Mara S. Bernardi +3 more
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