A second order convergent trial method for a free boundary problem in three dimensions [PDF]
, 2015 The present article is concerned with the solution of a generalized Bernoulli free boundary problem in three spatial dimensions. We parametrize the free boundary under consideration over the sphere and apply a trial method which updates the free boundary
Harbrecht, Helmut, Bugeanu, Monica
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Stabilization of the trial method for the Bernoulli problem in case of prescribed Dirichlet data [PDF]
, 2013 We apply the trial method for the solution of Bernoulli’s free boundary problem when the Dirichlet boundary condition is imposed for the solution of the underlying Laplace equation and the free boundary is updated according to the Neumann boundary ...
Giannoula Mitrou +3 more
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Trial methods for Bernoulli's free boundary problem [PDF]
, 2014 Free boundary problems deal with solving partial differential equations in a domain, a part of whose boundary is unknown – the so-called free boundary. Beside the standard boundary conditions that are needed in order to solve the partial differential ...
Mitrou, Giannoula
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Solving the geodesics on the ellipsoid as a boundary value problem
Journal of Geodetic Science, 2013 The geodesic between two given points on an ellipsoid is determined as a numerical solution of a boundary value problem. The secondorder ordinary differential equation of the geodesic is formulated by means of the Euler-Lagrange equation of the calculus ...
Panou G., Delikaraoglou D., Korakitis R.
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Analysis of direct segregated boundary-domain integral equations for variable-coefficient mixed bvps in exterior domains [PDF]
, 2013 This is the post-print version of the Article. The official published version can be accessed from the link below - Copyright @ 2013 World Scientific Publishing.Direct segregated systems of boundary-domain integral equations are formulated for the mixed (
Mikhailov, SE +2 more
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An inverse three spectra problem for Sturm–Liouville operators
Boundary Value Problems, 2018 In this paper, we consider the inverse three spectra problems of recovering the Sturm–Liouville equation by the spectra of the Neumann–Dirichlet boundary value problem on [0,1] $[0,1]$, the Neumann–Robin problem on [0,1/2] $[0,1/2]$, and the Robin ...
Yongxia Guo, Guangsheng Wei, Ruoxia Yao
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Solvability of a multi-point boundary value problem of Neumann type
Abstract and Applied Analysis, 1999 Let f:[0,1]×ℝ2→ℝ be a function satisfying Carathéodory's conditions and e(t)∈L1[0,1].
Chaitan P. Gupta, Sergei Trofimchuk
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A remark on elliptic differential equations on manifold
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 For elliptic boundary value problems of nonlocal type in Euclidean space, the well posedness has been studied by several authors and it has been well understood. On the other hand, such kind of problems on manifolds have not been studied yet.
A. Ashyralyev, Y. Sozen, F. Hezenci
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On a method for approximate solution of a mixed boundary value problem for an elliptic equation
Журнал Средневолжского математического общества, 2021 A mixed boundary value problem for an elliptic equation of divergent type with variable coefficients is considered. It is assumed that the integration region is a rectangle, and the boundary of the integration region is the union of two disjoint pieces ...
Fairuzov Mahmut E., Lubyshev Fedor V.
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On some analogues of periodic problems for Laplace equation with an oblique derivative under boundary conditions [PDF]
E-Journal of Analysis and Applied Mathematics, 2020 In this paper, we study solvability of new classes of nonlocal boundary value problems for the Laplace equation in a ball. The considered problems are multidimensional analogues (in the case of a ball) of classical periodic boundary value problems in ...
Batirkhan Turmetov +2 more
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