Existence and asymptotic behavior of positive continuous solutions for a nonlinear elliptic system in the half space by Sameh Turki

“…Our approach is based on potential theory tools and the use of Schauder's fixed point theorem.…”
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Modelling Methane Adsorption Isotherms on Shale at Different Temperatures by Dongqing Zhang

“…Based on the Polanyi adsorption potential theory and Langmuir adsorption theory, a method was presented to predict adsorption isotherms at different temperatures. …”
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A local regularization scheme of Cauchy problem for the Laplace equation on a doubly connected domain by Xingtian Gong, Shuwei Yang

“…We first establish the existence of a solution through the potential theory. By expressing the solution as a sum of single-layer potentials using boundary value condition, we get the integral equation systems about the density function on the boundary, and by applying local regularization scheme to the obtained integral equation systems, we get the regularization solution of the original problem. …”
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Convergence of restarted Krylov subspaces to invariant subspaces by Beattie, C, Embree, M, Rossi, J

“…Elementary results from potential theory lead to convergence rate estimates and suggest restarting strategies based on optimal approximation points (e.g., Leja or Chebyshev points); exact shifts are evaluated within this framework. …”

Numerical simulation for predicting the respose of an offshore heavy lift barge in regular and irregular waves by Adham Bekhit, Săndița Pacuraru

“…The numerical simulation is carried out using the 3D diffraction /radiation motion solver Hydrostar software that is based on potential theory to predict the wave-body interactions. …”
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Remarks on radial symmetry and monotonicity for solutions of semilinear higher order elliptic equations by Filippo Gazzola, Gianmarco Sperone

“…Half a century after the appearance of the celebrated paper by Serrin about overdetermined boundary value problems in potential theory and related symmetry properties, we reconsider semilinear polyharmonic equations under Dirichlet boundary conditions in the unit ball of $ \mathbb{R}^{n} $. …”
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Sloshing Damping in a Swaying Rectangular Tank Using a Porous Bulkhead by Il-Hyoung Cho

“…The performance of a porous swash bulkhead for the reduction of the resonant liquid motion in a swaying rectangular tank was investigated based on the assumption of linear potential theory. The Galerkin method (Porter and Evans, 1995) was used to solve the potential flow model by adding a viscous frictional damping term to the free-surface condition. …”
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Motion Reduction of Rectangular Pontoon Using Sloshing Liquid Damper by Il-Hyoung Cho

“…The interaction between a sloshing liquid damper (SLD) tank and a rectangular pontoon was investigated under the assumption of the linear potential theory. The eigenfunction expansion method was used not only for the sloshing problem in the SLD tank but also for analyzing the motion responses of a rectangular pontoon in waves. …”
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New method for link prediction in directed networks based on triad patterns by CHANG Sheng, MA Hong, LIU Shuxin

“…The proposed metric compare the difference of triad structures between undirected and directed networks and use potential theory to filter the triad patterns. By statistics of triad closeness in various networks, new method calculate the similarity between nodes using the triad closeness index of a network as the weight for different triad patterns. …”
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Modeling, Simulation and Control of a Spacecraft: Automated Rendezvous under Positional Constraints by Simone Fiori, Francesco Rachiglia, Luca Sabatini, Edoardo Sampaolesi

“…In particular, rendezvous in the presence of physical obstacles is tackled by a virtual potential theory within a modern manifold calculus setting and simulated numerically. …”
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Machine learning nonequilibrium electron forces for spin dynamics of itinerant magnets by Puhan Zhang, Gia-Wei Chern

“…Abstract We present a generalized potential theory for conservative as well as nonconservative forces for the Landau-Lifshitz magnetization dynamics. …”
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Theoretical Analysis of a Vertical Cylindrical Floater in Front of an Orthogonal Breakwater by Dimitrios N. Konispoliatis, Spyridon A. Mavrakos

“…The reflecting walls are placed behind the body, which can be conceived as a floater for wave energy absorption. Linear potential theory is assumed, and the associated diffraction and motion radiation problems are solved in the frequency domain. …”
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Flexible Power Supply System of AC Electric Arc Furnace by Chongbin Zhao, Qirong Jiang, Dong Liu

“…A large disturbance stability criterion based on the mixed potential theory is also established for the practical application. …”
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Quasi-potential analysis of multi-variate stochastic differential equations by Malek, Bola

“…To aid observations and experiments, a theoretical framework for studying these motifs using potential theory from classical physics is sometimes utilized. …”
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Convergence of linear barycentric rational interpolation for analytic functions by Guettel, S, Klein, G

“…With the help of logarithmic potential theory we derive asymptotic convergence results for analytic functions when this parameter varies with the number of nodes. …”

Exponential node clustering at singularities for rational approximation, quadrature, and PDEs by Trefethen, LN, Nakatsukasa, Y, Weideman, JAC

“…We propose a theoretical model of the tapering effect based on the Hermite contour integral and potential theory, which suggests that tapering doubles the rate of convergence. …”

An integrated CFD simulation tool in naval architecture and offshore (NAO) engineering by Koto, Jaswar, Abdul Malik, Adi Maimun, Priyanto, Agoes, Abdul Wahid, Mazlan, Ahmad, Mohd. Zamani, Abdul Ghani, Mohamad Pauzi

“…The Department of Marine Technology at the Faculty of Mechanical Engineering, University Teknologi Malaysia has recently developed an integrated CFD simulation tool using potential theory, which intends to upgrade student's level understanding the application of fluid dynamic to ship and offshore structure designs. …”

Surge forces of a FPSO at Lee side of submerged plate in regular waves by Priyanto, Agoes, Erwandi, Erwandi, Samudro, Samudro

“…The wave exciting surge forces of the FPSO at the lee side of the submerged plate were examined by using Boundary Element Method based on the potential theory. In order to verify the numerical results, the model experiments have been carried out in Towing Tank of Laboratorium Hidrodinamika Indonesia, BPP Teknologi. …”
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Surge forces of a FPSO at lee side of submerged plate in regular waves by Priyanto, Agoes, Erwandi, Erwandi, Samudro, Samudro

“…The wave exciting surge forces of the FPSO at the lee side of the submerged plate were examined by using Boundary Element Method based on the potential theory. In order to verify the numerical results, the model experiments have been carried out in Towing Tank of Laboratorium Hidrodinamika Indonesia, BPP Teknologi. …”
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Electrostatic pair-potentials based on the Poisson equation by B Stenqvist

“…For sufficiently large degree of smoothness we find that the solution implies a Gaussian distribution of the charge, a feature which is frequently assumed in pair-potential theory. We end up by recommending a single pair-potential based both on theoretical arguments and empirical evaluations of non-thermal lattice- and thermal water-systems. …”
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