The Functional Equation
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Displaying 1 – 9 of 9
The minimum modulus of a subharmonic function
G. S. Srivastava (1984)
Archivum Mathematicum
The problem and singular integrals on Orlicz spaces
Rostislav Vodák (2002)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
The solution of a singular integral equation with some applications in potential theory.
Shawagfeh, N.T. (1998)
International Journal of Mathematics and Mathematical Sciences
The solution of an open problem given by H. Haruki and T. M. Rassias.
Kim, Bara (1999)
Journal of Applied Mathematics and Stochastic Analysis
The successive approximation method for the Dirichlet problem in a planar domain
Dagmar Medková (2008)
Applicationes Mathematicae
The Dirichlet problem for the Laplace equation for a planar domain with piecewise-smooth boundary is studied using the indirect integral equation method. The domain is bounded or unbounded. It is not supposed that the boundary is connected. The boundary conditions are continuous or p-integrable functions. It is proved that a solution of the corresponding integral equation can be obtained using the successive approximation method.
Theoretical and numerical study of a free boundary problem by boundary integral methods
Michel Crouzeix, Philippe Féat, Francisco-Javier Sayas (2001)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
In this paper we study a free boundary problem appearing in electromagnetism and its numerical approximation by means of boundary integral methods. Once the problem is written in a equivalent integro-differential form, with the arc parametrization of the boundary as unknown, we analyse it in this new setting. Then we consider Galerkin and collocation methods with trigonometric polynomial and spline curves as approximate solutions.
Theoretical and numerical study of a free boundary problem by boundary integral methods
Michel Crouzeix, Philippe Féat, Francisco-Javier Sayas (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
In this paper we study a free boundary problem appearing in electromagnetism and its numerical approximation by means of boundary integral methods. Once the problem is written in a equivalent integro-differential form, with the arc parametrization of the boundary as unknown, we analyse it in this new setting. Then we consider Galerkin and collocation methods with trigonometric polynomial and spline curves as approximate solutions.
Theoretical aspects and numerical computation of the time-harmonic Green's function for an isotropic elastic half-plane with an impedance boundary condition
Mario Durán, Eduardo Godoy, Jean-Claude Nédélec (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
This work presents an effective and accurate method for determining, from a theoretical and computational point of view, the time-harmonic Green's function of an isotropic elastic half-plane where an impedance boundary condition is considered. This method, based on the previous work done by Durán et al. (cf. [Numer. Math.107 (2007) 295–314; IMA J. Appl. Math.71 (2006) 853–876]) for the Helmholtz equation in a half-plane, combines appropriately analytical and numerical techniques, which has an important...
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