Search Results - "POISSON'S equation"

The Optimal Relaxation Parameter for the SOR Method Applied to the Poisson Equation on Rectangular Grids with Different Types of Boundary Conditions.

Authors: Mahmoodi Darian, Hossein¹ (AUTHOR) hmahmoodi@ut.ac.ir

Source: Journal of Computational & Theoretical Transport. Nov2025, p1-29. 29p. 12 Illustrations.

Subject Terms: *POISSON'S equation, *RELAXATION methods (Mathematics), *FINITE difference method, *NUMERICAL analysis, *NUMERICAL calculations, *BOUNDARY value problems

Extended finite volume method for problems with arbitrary discontinuities.

Authors: Marzok, Ameer¹ (AUTHOR) marzok@technion.ac.il

Source: Computational Mechanics. Oct2025, Vol. 76 Issue 4, p1211-1232. 22p.

Subject Terms: *FINITE volume method, *POISSON'S equation, *STATISTICAL accuracy, *GALERKIN methods, *DISCONTINUOUS functions, *INTEGRALS

Effects of non-uniform electric field on the charge collection efficiency in radiation detectors: Deviation from Hecht formula.

Authors: Kabir, M. Z. Liaquat, Mahboob

Source: Journal of Applied Physics; 7/14/2025, Vol. 138 Issue 2, p1-8, 8p

Subject Terms: X-ray detection, ELECTRIC fields, TRANSPORT theory, NUCLEAR counters, CHARGE carrier mobility, POISSON'S equation

A Hybrid DST-Accelerated Finite-Difference Solver for 2D and 3D Poisson Equations with Dirichlet Boundary Conditions.

Authors: Pei, Jing Tong, Xiaozhong

Source: Mathematics (2227-7390). Sep2025, Vol. 13 Issue 17, p2776. 17p.

Subject Terms: *POISSON'S equation, *FINITE differences, *MECHANICAL efficiency, *NUMERICAL analysis, *COSINE transforms, *DIRICHLET principle

On the long time behavior of a spherical harmonics expansion model coupled with a Poisson Equation.

Authors: Fazai, Najia Tayeb, Mohamed Lazhar

Source: Journal of Hyperbolic Differential Equations. Sep2025, Vol. 22 Issue 3, p435-469. 35p.

Subject Terms: *SPHERICAL harmonics, *POISSON'S equation, *MAXIMUM entropy method, *EQUILIBRIUM, *MATHEMATICAL analysis, *DYNAMICAL systems, *DIFFUSION coefficients

Optimal Convergence of Slow–Fast Stochastic Reaction–Diffusion–Advection Equation with Hölder-Continuous Coefficients.

Authors: Yang, Li Liu, Lin

Source: Mathematics (2227-7390). Aug2025, Vol. 13 Issue 16, p2550. 23p.

Subject Terms: *REACTION-diffusion equations, *POISSON'S equation, *STOCHASTIC differential equations, *HILBERT space, *HOLDER spaces, *TRANSPORT equation, *NUMERICAL analysis

Optimal Polynomial Smoothers and One‐Sided V‐Cycles for Poisson Problems.

Authors: Phillips, Malachi Fischer, Paul

Source: Numerical Linear Algebra with Applications. Aug2025, Vol. 32 Issue 4, p1-26. 26p.

Subject Terms: *POISSON'S equation, *SMOOTHING (Numerical analysis), *ALGEBRAIC multigrid methods, *ALGORITHMS, *OPTIMIZATION algorithms, *FINITE differences

Existence and nonlinear stability of steady state solutions of the 3-D Navier–Stokes–Poisson equations with non-flat doping profile of large variations in exterior domains.

Authors: Du, Yingzhi Liu, Hairong

Source: Journal of Mathematical Physics. Aug2025, Vol. 66 Issue 8, p1-26. 26p.

Subject Terms: *NAVIER-Stokes equations, *POISSON'S equation, *BOUNDARY value problems, *DOPING agents (Chemistry), *EQUILIBRIUM

High-entanglement capabilities for variational quantum algorithms: the Poisson equation case.

Authors: Ayoub, Fouad Baeder, James D.

Source: Quantum Information Processing. Aug2025, Vol. 24 Issue 8, p1-22. 22p.

Subject Terms: *QUANTUM computing, *POISSON'S equation, *NUMERICAL solutions for linear algebra, *MATHEMATICAL optimization, *QUANTUM entanglement

A new numerical strategy for the drift-diffusion equations based on bridging the hybrid mixed and exponential fitted methods.

Authors: Rocha, Aline C. da¹ (AUTHOR) alinerocha@utfpr.edu.br

Source: Computers & Mathematics with Applications. Jul2025, Vol. 190, p185-205. 21p.

Subject Terms: *POISSON'S equation, *PARTIAL differential equations, *FINITE element method, *REACTION-diffusion equations, *SEMICONDUCTOR devices

A Quasi-Convex RKPM for 3D Steady-State Thermomechanical Coupling Problems.

Authors: Zhang, Lin Li, D. M. Liao, Cen-Ying et al.

Source: Mathematics (2227-7390). Jul2025, Vol. 13 Issue 14, p2259. 30p.

Subject Terms: *POISSON'S equation, *THERMAL stresses, *STATISTICAL accuracy, *ITERATIVE methods (Mathematics), *THERMOMECHANICAL properties of metals, *MESHFREE methods

Numerical simulations on DC-driven low-temperature plasmas by physics-informed neural networks.

Authors: Li, Wen-Kai Zhang, Yuan-Tao

Source: Journal of Applied Physics; 5/28/2025, Vol. 137 Issue 20, p1-10, 10p

Subject Terms: ARTIFICIAL neural networks, AUTOMATIC differentiation, DISCRETIZATION methods, ARTIFICIAL intelligence, COMPUTER simulation, POISSON'S equation

Analytical solutions of fractional Poisson’s Equation with Riesz Derivatives

Authors: Somvanshi, Piyusha

Source: International Journal of Science and Research Archive. 16:1595-1600

Subject Terms: Riesz Fractional Derivative, Fractional Calculus, Fractional Poisson's Equation, Fourier Transform Method, Fractional Dimensional Space

The p-Laplacian as a framework for generalizing Newtonian gravity and Milgromian gravitation.

Authors: Scherer, D. Pflamm-Altenburg, J. Kroupa, P. et al.

Source: Astronomy & Astrophysics / Astronomie et Astrophysique. 2025, Vol. 698, p1-12. 12p.

Subject Terms: *GALAXY clusters, *POISSON'S equation, *NEWTON'S law of gravitation, *DENSITY, *MILKY Way, *DWARF galaxies

Conformal deformations of initial data sets to the strict dominant energy condition using a spacetime Poisson equation.

Authors: Jaracz, Jaroslaw S.¹ (AUTHOR) jaracz@txstate.edu

Source: International Journal of Geometric Methods in Modern Physics. May2025, p1. 20p.

Subject Terms: *EINSTEIN field equations, *POISSON'S equation, *PARTIAL differential equations, *CONFORMAL mapping, *BOUNDARY value problems

Error propagation of direct pressure gradient integration and a Helmholtz–Hodge decomposition-based pressure field reconstruction method for image velocimetry.

Authors: Li, Lanyu McClure, Jeffrey Wright, Grady B. et al.

Source: Experiments in Fluids. May2025, Vol. 66 Issue 5, p1-24. 24p.

Subject Terms: *RADIAL basis functions, *POISSON'S equation, *COMPRESSIBILITY, *FLUID dynamics, *ERROR analysis in mathematics, *VELOCIMETRY, *FLOW visualization

Adaptive Error-Bounded Hierarchical Matrix Compression for Efficient and Accurate Physics-Informed Neural Networks.

Authors: Mango, John M. Katende, Ronald Kasumba, Henry

Source: Engineering Letters. May2025, Vol. 33 Issue 5, p1605-1622. 18p.

Subject Terms: *BURGERS' equation, *POISSON'S equation, *PARTIAL differential equations, *HEAT equation, *COMPUTATIONAL complexity

ULTRA-WEAK LEAST SQUARES DISCRETIZATIONS FOR UNIQUE CONTINUATION AND CAUCHY PROBLEMS.

Authors: MONSUUR, HARALD STEVENSON, ROB

Source: SIAM Journal on Numerical Analysis. 2025, Vol. 63 Issue 3, p1344-1368. 25p.

Subject Terms: *CAUCHY problem, *POISSON'S equation, *MEASUREMENT uncertainty (Statistics), *VARIATIONAL approach (Mathematics), *LEAST squares, *CONTINUATION methods, *NUMERICAL solutions to equations

Impact of band edge energy on interface traps and electrostatics of ultra-thin-body silicon-on-insulator devices.

Authors: Mishra, Nalin Vilochan Medury, Aditya Sankar

Source: Journal of Applied Physics. May2023, Vol. 133 Issue 17, p1-13. 13p.

Subject Terms: *SILICON-on-insulator technology, *POISSON'S equation, *PASSIVATION, *ELECTROSTATICS, *SURFACE passivation, *ENERGY bands, *ELECTROSTATIC interaction, *ELECTRON traps

Multiscale statistical quantum transport in porous media and random alloys with vacancies.

Authors: Sharafedini, Elham Hamzehpour, Hossein Alidoust, Mohammad

Source: Journal of Applied Physics. 1/21/2023, Vol. 133 Issue 3, p1-10. 10p.

Subject Terms: *POROUS materials, *POISSON'S equation, *DISTRIBUTION (Probability theory), *ALLOYS, *SCHRODINGER equation