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method of fundamental solutions

Solving the inverse three-dimensional continuous model of electrical resistance tomography using the method of fundamental solutions and the Markov chain Monte Carlo approach.

Solving the inverse three-dimensional continuous model of electrical resistance tomography using the method of fundamental solutions and the Markov chain Monte Carlo approach.

... Dyhoum, TE, Aykroyd, RG orcid.org/0000-0003-3700-0816 and Lesnic, D (2017) Solving the inverse three-dimensional continuous model of electrical resistance tomography using the method of fundamental ...

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Method of fundamental solutions for a Cauchy problem of the Laplace equation in a half-plane

Method of fundamental solutions for a Cauchy problem of the Laplace equation in a half-plane

... redefined method of fundamental solutions (MFS) to determine the temperature and the normal heat flux on the inaccessible ...regularization method combining Morozov’s discrepancy principle to ...

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The method of fundamental solutions for the identification of a scatterer with impedance boundary condition in interior inverse acoustic scattering

The method of fundamental solutions for the identification of a scatterer with impedance boundary condition in interior inverse acoustic scattering

... Karageorghis, A, Lesnic, D orcid.org/0000-0003-3025-2770 and Marin, L (2018) The method of fundamental solutions for the identification of a scatterer with impedance boundary condition in interior ...

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The method of fundamental solutions for an inverse boundary value problem in static thermo-elasticity

The method of fundamental solutions for an inverse boundary value problem in static thermo-elasticity

... regularized method of fundamental solutions is employed in order to find a stable numerical solution to this ill-posed, but linear coupled inverse ...

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The Method of Fundamental Solutions for Direct Cavity Problems in EIT

The Method of Fundamental Solutions for Direct Cavity Problems in EIT

... The Method of Fundamental Solutions (MFS) is an effective technique for solv- ing linear elliptic partial differential equations, such as the Laplace and Helmholtz ...equation method and a ...

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Mathematical approach and numerical analysis to the fundamental solutions method of Dirichlet problem

Mathematical approach and numerical analysis to the fundamental solutions method of Dirichlet problem

... the fundamental solutions method will be proposed for Dirichlet problems of unbounded and bounded Jordan ...play fundamental roles to introduce a new scheme and to determine the distribution ...

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Theoretical scheme on numerical conformal mapping of unbounded multiply connected domain by fundamental solutions method

Theoretical scheme on numerical conformal mapping of unbounded multiply connected domain by fundamental solutions method

... 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 fundamental solutions ...The ...

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Experiment on numerical conformal mapping of unbounded multiply connected domain in fundamental solutions method

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 map- pings of unbounded multiply connected domains ...

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Regularization method for the radially symmetric inverse heat conduction problem

Regularization method for the radially symmetric inverse heat conduction problem

... Fourier method was used in [–]. The mollification method and projection regular- ization based on the Laplace and Fourier transforms are applied respectively in [] and ...the method of ...

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Fundamental solutions to the R13 equations : efficient computation of 3D kinetic effects

Fundamental solutions to the R13 equations : efficient computation of 3D kinetic effects

... Fundamental solutions (Green’s functions) are derived for the regularised 13-moment system (R13) of rarefied gas dynamics, for small departures from equilibrium; these solutions show the presence of ...

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Predicting a Time Evolving Accumulating Crystalline Formation using a Meshless Boundary Tracking Approach

Predicting a Time Evolving Accumulating Crystalline Formation using a Meshless Boundary Tracking Approach

... imaging method with potential for numerically detecting the deposition of solidifying industrial process liquors evolving through ...meshless Method of Fundamental Solutions ...this ...

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Fundamental solutions to moment equations for the simulation of microscale gas flows

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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The MFS for the identification of a sound-soft interior acoustic scatterer

The MFS for the identification of a sound-soft interior acoustic scatterer

... the method 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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A Domain Boundary Integral Treatment of Transient Scalar Transport with Memory

A Domain Boundary Integral Treatment of Transient Scalar Transport with Memory

... Fundamental solutions generated from “free-space” Greens functions are usually applied in boundary integral analysis of transport ...element method (BEM) for- mulation, especially for non-homogeneous ...

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Boundary Integral Equations for Quasi-Static Unsaturated Porous Media

Boundary Integral Equations for Quasi-Static Unsaturated Porous Media

... elements method seems to be ...the fundamental solutions in hand, which have been found for a homogeneous medium, are not ...the fundamental solutions for other media do not appear ...

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Advances In Voronoi Hybrid Finite Element Elements Yi Xiao

Advances In Voronoi Hybrid Finite Element Elements Yi Xiao

... element method is also ...element method, the present method is a type of hybrid displacement finite element method and all integrals involved are along element boundary ...present ...

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An application of Lauricella hypergeometric functions to the generalized heat equations

An application of Lauricella hypergeometric functions to the generalized heat equations

... accurate solutions for time-fractional differential equations with the modified Riemann-Liouville derivative ...iteration method for processing the local fractional heat conduction equation accruing in ...

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Verification of BOUT++ by the method of manufactured solutions

Verification of BOUT++ by the method of manufactured solutions

... of checking that the chosen set of partial differential equations is solved correctly and con- sistently, and is a purely mathematical exercise. Code verification is not concerned with verifying that the chosen numerical ...

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How fundamental is the fundamental assumption?

How fundamental is the fundamental assumption?

... 3. The fundamental assumption is only as clear as is the distinction be- tween direct and indirect verifications. At first glance, in contrast to its appli- cation to other expressions of the language, the ...

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Generalized Bernoulli Sub-ODE Method and its Applications

Generalized Bernoulli Sub-ODE Method and its Applications

... sub-ODE method method has been implemented to find the exact traveling wave solutions and then the solitary wave solutions of two very important nonlinear evolution equations, namely, the ...

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