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Intracardiac Inverse Potential Mapping Using the Method of Fundamental Solutions [PDF]
Frontiers in Physiology, 2022 Introduction: Atrial fibrillation (AF) is the most prevalent cardiac dysrhythmia and percutaneous catheter ablation is widely used to treat it. Panoramic mapping with multi-electrode catheters can identify ablation targets in persistent AF, but is ...
Shu Meng +16 more
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A Genetic Algorithm for Pointwise Source Reconstruction by the Method of Fundamental Solutions
Trends in Computational and Applied Mathematics, 2022 Inverse source reconstruction problems offer great potential for applications of interest to engineering, such as the identification of polluting sources, and to medicine, such as electroencephalography, to cite at least two relevant examples.
J. R. Faria
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AIMS Mathematics, 2021 This paper proposes a simple, accurate and effective empirical formula to determine the number of supporting nodes in a newly-developed method, the localized method of fundamental solutions (LMFS).
Zengtao Chen, Fajie Wang
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The method of fundamental solutions for analytic functions in complex analysis
AIMS Mathematics, 2022 This paper extends the method of fundamental solutions (MFS) for solving the boundary value problems of analytic functions based on Cauchy-Riemann equations and properties of harmonic functions. The conformal mapping technique is applied to introduce the
Xiaoguang Yuan +3 more
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A Localized Method of Fundamental Solution for Numerical Simulation of Nonlinear Heat Conduction
Mathematics, 2022 In this study, an efficient localized method of fundamental solution (LMFS) is applied to nonlinear heat conduction with mixed boundary conditions. Since the thermal conductivity is temperature-dependent, the Kirchhoff transformation is used to transform
Feng Wang, Yan-Cheng Liu, Hui Zheng
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A method of fundamental solutions without fictitious boundary [PDF]
Engineering Analysis with Boundary Elements, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Wen, Wang, F. Z.
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Civil and Environmental Engineering, 2021 The purpose of this work is to study the feasibility and efficiency of Generating Absorbing Boundary Conditions (GABCs), applied to wave-current interactions using the Method of Fundamental Solutions (MFS) as radial basis function, the problem is solved ...
Loukili Mohammed +2 more
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A hybrid method for the interior inverse scattering problem
Electronic Research Archive, 2023 In this paper, the interior inverse scattering problem of a cavity is considered. By use of a general boundary condition, we can reconstruct the shape of the cavity without a priori information of the boundary condition type.
Yujie Wang, Enxi Zheng , Wenyan Wang
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Mathematics, 2022 Inhomogeneous elliptical inclusions with partial differential equations have aroused appreciable concern in many disciplines. In this paper, a pseudo-spectral collocation method, based on Fourier basis functions, is proposed for the numerical solutions ...
Xiao Wang +3 more
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Localized Method of Fundamental Solutions for Two-Dimensional Inhomogeneous Inverse Cauchy Problems
Mathematics, 2022 Due to the fundamental solutions are employed as basis functions, the localized method of fundamental solution can obtain more accurate numerical results than other localized methods in the homogeneous problems.
Junli Zhang +3 more
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