The effect of quadrature rules on finite element solutions of Maxwell variational problems. Consistency estimates on meshes with straight and curved elements
Sign Up to like & getrecommendations! Published in 2021 at "Numerische Mathematik"
DOI: 10.1007/s00211-021-01186-8
Abstract: We study the effects of numerical quadrature rules on error convergence rates when solving Maxwell-type variational problems via the curl-conforming or edge finite element method. A complete {\em a priori} error analysis for the case… read more here.
Keywords: finite element; quadrature; effect quadrature; rules finite ... See more keywords
Variational problems of Herglotz type with complex order fractional derivatives and less regular Lagrangian
Sign Up to like & getrecommendations! Published in 2019 at "Acta Mechanica"
DOI: 10.1007/s00707-019-02521-9
Abstract: We derive optimality conditions for variational problems of Herglotz type whose Lagrangian depends on fractional derivatives of both real and complex order, and resolve the case of subdomain when the lower bounds of variational integral… read more here.
Keywords: complex order; herglotz type; fractional derivatives; problems herglotz ... See more keywords
A Posteriori Estimates for the Accuracy of Approximations in Variational Problems with Power Functionals
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Sciences"
DOI: 10.1007/s10958-019-04631-0
Abstract: We prove a posteriori estimates in the energy norm for the deviation of an arbitrary function v from the minimizer u of the nonlinear variational problem for an integral functional with power type integrand. The… read more here.
Keywords: posteriori estimates; approximations variational; power; estimates accuracy ... See more keywords
η-Approximation Method for Non-convex Multiobjective Variational Problems
Sign Up to like & getrecommendations! Published in 2017 at "Numerical Functional Analysis and Optimization"
DOI: 10.1080/01630563.2017.1314970
Abstract: ABSTRACT In this paper, we use the η-approximation method for a class of non-convex multiobjective variational problems with invex functionals. In this approach, for the considered multiobjective variational problem, the associated η-approximated multiobjective variational problem… read more here.
Keywords: convex multiobjective; variational problem; non convex; multiobjective variational ... See more keywords
Features of constrained entropic functional variational problems
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DOI: 10.1142/s0217984918502676
Abstract: We describe in great generality features concerning constrained entropic, functional variational problems that allow for a broad range of applications. Our discussion encompasses not only entropies but, potentially, any functional of the probability distribution, like… read more here.
Keywords: constrained entropic; features constrained; functional variational; entropic functional ... See more keywords
Fractional Herglotz variational problems with Atangana–Baleanu fractional derivatives
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-018-1635-9
Abstract: The purpose of this paper is to solve fractional calculus of variational Herglotz problem depending on an Atangana–Baleanu fractional derivative. Since the new Atangana–Baleanu fractional derivative is non-singular and non-local, the Euler–Lagrange equations are proposed… read more here.
Keywords: atangana baleanu; fractional herglotz; fractional derivative; baleanu fractional ... See more keywords
Optimality conditions for fractional variational problems with Caputo-Fabrizio fractional derivatives
Sign Up to like & getrecommendations! Published in 2017 at "Advances in Difference Equations"
DOI: 10.1186/s13662-017-1388-7
Abstract: In this paper, we study the necessary and sufficient optimality conditions for problems of the fractional calculus of variations with a Lagrange function depending on a Caputo-Fabrizio fractional derivative. The new kernel of Caputo-Fabrizio fractional… read more here.
Keywords: optimality conditions; caputo fabrizio; conditions fractional; fractional variational ... See more keywords
Second-order L∞ variational problems and the ∞-polylaplacian
Sign Up to like & getrecommendations! Published in 2018 at "Advances in Calculus of Variations"
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
Boubaker Hybrid Functions and their Application to Solve Fractional Optimal Control and Fractional Variational Problems
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DOI: 10.21136/am.2018.0083-18
Abstract: A new hybrid of block-pulse functions and Boubaker polynomials is constructed to solve the inequality constrained fractional optimal control problems (FOCPs) with quadratic performance index and fractional variational problems (FVPs). First, the general formulation of… read more here.
Keywords: fractional optimal; boubaker hybrid; fractional variational; optimal control ... See more keywords
Determination of an Extremal in Two-Dimensional Variational Problems Based on the RBF Collocation Method
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DOI: 10.3390/e24101345
Abstract: This paper introduces a direct method derived from the global radial basis function (RBF) interpolation over arbitrary collocation nodes occurring in variational problems involving functionals that depend on functions of a number of independent variables.… read more here.
Keywords: two dimensional; collocation; dimensional variational; method ... See more keywords
Non-Coercive Radially Symmetric Variational Problems: Existence, Symmetry and Convexity of Minimizers
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DOI: 10.3390/sym11050688
Abstract: We prove the existence of radially symmetric solutions and the validity of Euler–Lagrange necessary conditions for a class of variational problems with slow growth. The results are obtained through the construction of suitable superlinear perturbations… read more here.
Keywords: coercive radially; non coercive; symmetric variational; symmetry ... See more keywords