Results 1 to 10 of about 1,723,336 (190)

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, Nicholas Sunderland, Nicholas Sunderland, Judit Chamorro-Servent, Laura R. Bear, Laura R. Bear, Laura R. Bear, Nigel A. Lever, Nigel A. Lever, Nigel A. Lever, Gregory B. Sands, Ian J. LeGrice, Ian J. LeGrice, Anne M. Gillis, Jichao Zhao, David M. Budgett, Bruce H. Smaill   +16 more
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Method of fundamental solutions for a conductivity problem

Applied Mathematics in Science and Engineering
A numerical solution of the interior Dirichlet problem for the homogeneous conductivity equation is considered. After introducing certain assumptions and discretization of the domain, the boundary value problem for a second-order elliptic equation with ...
Andriy Beshley, Ihor Borachok
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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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Applicability and applications of the method of fundamental solutions [PDF]

Mathematics of Computation, 2009
Summary: We investigate the applicability of the method of fundamental solutions for the solution of boundary value problems of elliptic partial differential equations and elliptic systems. More specifically, we study whether linear combinations of fundamental solutions can approximate the solutions of the boundary value problems under consideration ...
Smyrlis, Yiorgos-Sokratis, Smyrlis, Yiorgos-Sokratis   +1 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 Pseudo-Spectral Fourier Collocation Method for Inhomogeneous Elliptical Inclusions with Partial Differential Equations

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, Juan Wang, Xin Wang, Chujun Yu   +3 more
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A Generating - Absorbing Boundary Condition Applied to Wave - Current Interactions Using the Method of Fundamental Solutions

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, Kotrasova Kamila, Bouaine Amine   +2 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, Hui Zheng, Chia-Ming Fan, Ming-Fu Fu   +3 more
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Analysis of bimaterial interface cracks using the localized method of fundamental solutions

Results in Applied Mathematics, 2022
This short communication makes the first attempt to apply the localized method of fundamental solutions (LMFS), a newly-developed meshless collocation method, for fracture mechanics analysis of bimaterial interface crack problems.
Xiao Wang, Yan Gu, Mikhail V. Golub
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PLASTICITY PROPERTIES OF ADVANCED HIGH-STRENGTH STEEL WELD CONSTRUCTION OF TRANSPORT MEANS – SIMULATION BY THE MESH-FREE METHOD [PDF]

Transport Problems, 2022
Advanced high-strength steel (AHSS) is being used increasingly often in the structure of means of transport. Welds made of these steels can crack in the heat-affected zone (HAZ) and have inferior mechanical properties compared to the base material. The
Bożena SZCZUCKA-LASOTA, Anita UŚCIŁOWSKA, Tomasz WĘGRZYN, Bogusław ŁAZARZ, Jan PIWNIK   +4 more
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