Fundamental Solutions
Fundamental solutions to moment equations for the simulation of microscale gas flows
... such fundamental solutions, in the context of creeping rarefied flow modelling, we have implemented the Gradlet and Thermal Gradlet into a method of fundamental solutions (a linear ...
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Theoretical scheme on numerical conformal mapping of unbounded multiply connected domain by fundamental solutions method
... Kuhara [10, 11] has also established a construction method of the functions mapping multiply connected domains onto the rings with circular or radial slits, based upon the works of Bergman [5] and using the ...
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Mathematical approach and numerical analysis to the fundamental solutions method of Dirichlet problem
... 3. Fundamental lemma. In approximation theory, the asymptotic behavior of ex- tremal polynomials has been studied by a lot of authors [4, 5, 7, 6, 8, 10, 11, 9, 16, 17, 19, 18]. In this section, we present the ...
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Method of fundamental solutions for a Cauchy problem of the Laplace equation in a half-plane
... This paper is to provide an analysis of an ill-posed Cauchy problem in a half-plane. This problem is novel since the Cauchy data on the accessible boundary is given, whilst the additional temperature is involved on a ...
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The method of fundamental solutions for an inverse boundary value problem in static thermo-elasticity
... of fundamental solutions (MFS) which offers several advantages over the more established boundary element method (BEM) ...the fundamental solution of the governing ...the fundamental solution ...
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Experiment on numerical conformal mapping of unbounded multiply connected domain in fundamental solutions method
... the fundamental solutions method, different from the conventional one, has been recently proposed for numerical conformal mappings of un- bounded multiply connected ...
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The method of fundamental solutions for the identification of a scatterer with impedance boundary condition in interior inverse acoustic scattering
... of fundamental solutions (MFS), see [4, 11], combined with a simple graphical method based on plotting the zero level set contours of the total field; – in [9, 10], using the MFS (or the plane waves method ...
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Solving the inverse three-dimensional continuous model of electrical resistance tomography using the method of fundamental solutions and the Markov chain Monte Carlo approach.
... of fundamental solutions, which is a discrete variant of the single layer potential in the direct form of the boundary element method for harmonic functions, but with source points shifted outside the ...
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Fundamental solutions to the R13 equations : efficient computation of 3D kinetic effects
... Fundamental solutions to the NSF/G13 systems are obtained by calculating the response of the conservation equations of momentum and energy ...basic fundamental solutions differ from the ...
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Eigenfunctions and Fundamental Solutions of the Fractional Two Parameter Laplacian
... generalized fundamental solutions of ...generalized fundamental solutions of the fractional Laplacian ...classical fundamental solution ux, y 1/2 logx − x 0 2 y − y 0 2 of the Laplace ...
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The Method of Fundamental Solutions for Direct Cavity Problems in EIT
... of Fundamental Solutions (MFS) is an effective technique for solv- ing linear elliptic partial differential equations, such as the Laplace and Helmholtz ...
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On the fundamental solutions of a discontinuous fractional boundary value problem
... Fractional calculus has been a well-known topic since it was initiated in the seventeenth century and studied by many great mathematicians of the time. The history of fractional calculus can be found in [, ]. It has ...
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A Domain Boundary Integral Treatment of Transient Scalar Transport with Memory
... requires fundamental solutions that are yet not well known except for the simple Maxwell material whose analytical solution is available (Gaul and Schanz ...the fundamental solution is applied to ...
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Accurate Asymptotic Formulas for Eigenvalues and Eigenfunctions of a Boundary-Value Problem of Fourth Order
... Case 2. Assume that qx ∈ C 2 0, π and the conditions qπ − q0 0 and q π − q 0 / 0 hold. Based on the asymptotic expressions of the fundamental solutions of 1.1 and the asymptotic formulas for eigenvalues of ...
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An application of Lauricella hypergeometric functions to the generalized heat equations
... The fractional heat conduction equation is studied by Povstenko in 2004 [1]. He proposed a quasi-static uncoupled theory of thermoelasticity based on the heat conduction equation with a time-fractional derivative. Later ...
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The MFS for the identification of a sound-soft interior acoustic scatterer
... of fundamental solutions (MFS) for detecting a sound-soft scatterer surrounding a host acoustic homogeneous medium due to a given point source inside ...
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The Integral Equation, Corresponding to the Ordinary Differential Equation
... mental solutions it is possible to make integral equation Volterra of II ...approximate solutions of the integral equation are system of the approximate fundamental solutions of the initial ...
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... In this work we present numerical results for the problem of anisotropic Kirchhoff plates with the action of compressive and shear in-plane forces combined with an out-of-plane perturbation. The critical loads for ...
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Ultrasonic Scattering in Composites Using Spatial Fourier Transform Techniques
... One way around this difficulty is to pose the scattering problem in a spatial Fourier frequency domain where exact fundamental solutions for elastodynamics are available, even for genera[r] ...
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Regularization method for the radially symmetric inverse heat conduction problem
... of fundamental solutions (MFS) (with a Tikhonov regularization) to the radially symmetric inverse heat conduction problem (IHCP) analogous to our ...
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