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   Articles with "biharmonic equation" as a keyword



Solving biharmonic equation as an optimal control problem using localized radial basis functions collocation method

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recommendations! Published in 2019 at "Engineering Analysis with Boundary Elements"

DOI: 10.1016/j.enganabound.2019.07.007

Abstract: Abstract Solving fourth or higher order differential equations using localized numerical methods as the finite element, the finite difference and the localized radial basis functions (LRBFs), show difficulties to get accurate results. So many authors… read more here.

Keywords: localized radial; basis functions; biharmonic equation; problem ... See more keywords
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Singular radial entire solutions and weak solutions with prescribed singular set for a biharmonic equation

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recommendations! Published in 2017 at "Journal of Differential Equations"

DOI: 10.1016/j.jde.2017.03.019

Abstract: Abstract Positive singular radial entire solutions of a biharmonic equation with subcritical exponent are obtained via the entire radial solutions of the equation with supercritical exponent and the Kelvin's transformation. The expansions of such singular… read more here.

Keywords: singular radial; solutions prescribed; biharmonic equation; radial entire ... See more keywords
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Biharmonic equation in a highly oscillating domain and homogenization of an associated control problem

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recommendations! Published in 2019 at "Applicable Analysis"

DOI: 10.1080/00036811.2018.1471207

Abstract: ABSTRACT We consider a Dirichlet boundary control problem posed in an oscillating boundary domain governed by a biharmonic equation. Homogenization of a PDE with a non-homogeneous Dirichlet boundary condition on the oscillating boundary is one… read more here.

Keywords: control problem; problem; biharmonic equation; homogenization ... See more keywords
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Application of biharmonic equation in impeller profile optimization design of an aero-centrifugal pump

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recommendations! Published in 2019 at "Engineering Computations"

DOI: 10.1108/ec-08-2018-0378

Abstract: Purpose The purpose of this paper is to improve the hydraulic efficiency without changing the overall dimension. The blade profile optimization design of the aero-centrifugal pump based on the biharmonic equation surrogate model has been… read more here.

Keywords: optimization; biharmonic equation; pump; surrogate ... See more keywords
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On an ill-posed problem for a biharmonic equation

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recommendations! Published in 2017 at "Filomat"

DOI: 10.2298/fil1704051k

Abstract: A local boundary value problem for the biharmonic equation in a rectangular domain is considered. Boundary conditions are given on all boundary of the domain. We show that the considered problem is self-adjoint. Herewith the… read more here.

Keywords: ill posed; problem biharmonic; biharmonic equation; posed problem ... See more keywords
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Regularized solution for a biharmonic equation with discrete data

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recommendations! Published in 2020 at "Evolution Equations and Control Theory"

DOI: 10.3934/eect.2020008

Abstract: In this work, we focus on the Cauchy problem for the biharmonic equation associated with random data. In general, the problem is severely ill-posed in the sense of Hadamard, i.e, the solution does not depend… read more here.

Keywords: biharmonic equation; equation discrete; solution biharmonic; regularized solution ... See more keywords