Search Results - "LAPLACE'S equation"

Electromagnetic field of the stator winding of a non-salient-pole synchronous machine.

Authors: Mustafakulova, Gulzoda Seitimbetov, Reipnazar Kenesbayev, Rinat et al.

Source: AIP Conference Proceedings. 2025, Vol. 3331 Issue 1, p1-5. 5p.

Subject Terms: *ELECTROMAGNETIC fields, *LAPLACE'S equation, *SYNCHRONOUS generators, *QUANTITATIVE research, *SEPARATION of variables, *ALTERNATING currents, *ELECTRIC machinery

Anisotropic Gauss Reconstruction and Global Orientation with Octree‐based Acceleration.

Authors: Ma, Yueji Shen, Jialu Meng, Yanzun et al.

Source: Computer Graphics Forum. Aug2025, Vol. 44 Issue 5, p1-16. 16p.

Subject Terms: *THREE-dimensional modeling, COMPUTER graphics, LAPLACE'S equation, SPATIAL data structures, CUDA (Computer architecture)

Local behaviour of the second order derivatives of solutions to p-Laplace equations.

Authors: Iandoli, Felice Vuono, Domenico

Source: Calculus of Variations & Partial Differential Equations. Dec2025, Vol. 64 Issue 9, p1-17. 17p.

Subject Terms: *LAPLACE'S equation, *LAPLACIAN operator, *MATHEMATICAL analysis, *HESSIAN matrices

The infinity-potential in the square.

Authors: Brustad, Karl K.¹ (AUTHOR) karl.brustad@momentumtechnologies.com

Source: Advances in Calculus of Variations. Nov2025, p1. 17p.

Subject Terms: *LAPLACE'S equation, *HEAT equation, *SQUARE, *GEOMETRIC shapes, *THETA functions, *BOUNDARY value problems

The Fourier Regularization for Solving a Cauchy Problem for the Laplace Equation with Uncertainty.

Authors: Liu, Xiaoya He, Yiliang Yang, Hong

Source: Axioms (2075-1680). Nov2025, Vol. 14 Issue 11, p805. 22p.

Subject Terms: *LAPLACE'S equation, *CAUCHY problem, *NUMERICAL solutions to equations, *TIKHONOV regularization, *PROBLEM solving, *UNCERTAINTY (Information theory), *FUZZY numbers, *SMOOTHNESS of functions

Analyticity and Stable Computation of Dirichlet–Neumann Operators for Laplace's Equation Under Quasiperiodic Boundary Conditions in Two and Three Dimensions.

Authors: Nicholls, David P. Wilkening, Jon Zhao, Xinyu

Source: Studies in Applied Mathematics. May2025, Vol. 154 Issue 5, p1-23. 23p.

Subject Terms: LAPLACE'S equation, WATER waves, BOUNDARY value problems, STABILITY (Mechanics), NUMERICAL analysis, NEUMANN boundary conditions

Generalized Hyers–Ulam Stability of Laplace Equation With Neumann Boundary Condition in the Upper Half‐Space.

Authors: Kang, Dongseung Kim, Hoewoon B. Kim, Dojin

Source: Mathematical Methods in the Applied Sciences. Sep2025, p1. 10p. 3 Illustrations.

Subject Terms: *LAPLACE'S equation, *NEUMANN boundary conditions, *GREEN'S functions, *FOURIER transforms, *STABILITY theory, *BOUNDARY value problems

Analysis of the Laplace Equation on a Circular Sector With a Stochastic Boundary Condition.

Authors: Calatayud, Julia¹ (AUTHOR) calatayj@uji.es

Source: Mathematical Methods in the Applied Sciences. Sep2025, p1. 7p.

Subject Terms: *LAPLACE'S equation, *STOCHASTIC partial differential equations, *STOCHASTIC processes, *ROOT-mean-squares, *RANDOM noise theory

*-η-Ricci-Yamabe Solitons on α-Cosymplectic Manifolds with a Quarter-Symmetric Metric Connection.

Authors: ROY, SOUMENDU DEY, SANTU BHATTACHARYYA, ARINDAM et al.

Source: Kyungpook Mathematical Journal. Sep2025, Vol. 65 Issue 3, p535-552. 18p.

Subject Terms: *CURVATURE, *LAPLACE'S equation, *VECTOR fields, *SYMPLECTIC manifolds, *MANIFOLDS (Mathematics)

Thermal Field Reconstruction on Microcontrollers: A Physics-Informed Digital Twin Using Laplace Equation and Real-Time Sensor Data.

Authors: Benitez, Victor H. Pacheco, Jesus Brau, Agustín

Source: Sensors (14248220). Aug2025, Vol. 25 Issue 16, p5130. 24p.

Subject Terms: *LAPLACE'S equation, *EMBEDDED computer systems, *DIGITAL twin, *FINITE differences, *TEMPERATURE distribution, *THERMAL analysis, *DETECTORS

A moving mesh method for pitting corrosion of heterogeneous materials.

Authors: Sarker, Abu Naser Haynes, Ronald D. Robertson, Michael

Source: Computers & Mathematics with Applications. Aug2025, Vol. 191, p48-59. 12p.

Subject Terms: *LAPLACE'S equation, *PITTING corrosion, *INHOMOGENEOUS materials, *PARTIAL differential equations, *CRYSTALLOGRAPHY

The unified transform method: beyond circular or convex domains.

Authors: Hulse, Jesse J. Lanzani, Loredana Llewellyn Smith, Stefan G. et al.

Source: Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences. 8/1/2025, Vol. 481 Issue 2319, p1-18. 18p.

Subject Terms: *LAPLACE'S equation, *BOUNDARY value problems, *CONVEX domains, *ANALYTIC functions

Vortex equilibria using least-squares methods.

Authors: Harris, Samuel J. McDonald, N. R

Source: Theoretical & Computational Fluid Dynamics. Aug2025, Vol. 39 Issue 4, p1-17. 17p.

Subject Terms: *LAPLACE'S equation, *VORTEX methods, *VORTEX motion, *EQUILIBRIUM, *VELOCITY

Iterative Method for Solving 2D Laplace'S Equation With a Polynomial Boundary Condition.

Authors: Benameur, Jamel Elhechmi, Chokri

Source: Mathematical Methods in the Applied Sciences. Aug2025, Vol. 48 Issue 12, p11906-11914. 9p.

Subject Terms: *LAPLACE'S equation, *ITERATIVE methods (Mathematics), *ELLIPTIC equations, *MATHEMATICAL domains, *NONLINEAR boundary value problems, *UNIQUENESS (Mathematics), *BOUNDARY value problems, *NONLINEAR estimation

Identifying Common Properties of Coefficient Matrices Appearing in Conventional or Invariant Scheme of Method of Fundamental Solutions.

Authors: Yaji, Kohei¹ (AUTHOR) yaji@kagoshima-ct.ac.jp

Source: IEEJ Transactions on Electrical & Electronic Engineering. Jul2025, Vol. 20 Issue 7, p991-997. 7p.

Subject Terms: *LAPLACE'S equation, *DIRICHLET problem, *COMMONS, *AEROSPACE planes, *ELECTRICAL engineers

Application of Quadrature Formulas for a Single-Layer Potential for an Exterior Neumann Problem.

Authors: Krutitskii, P. A. Reznichenko, I. O.

Source: Computational Mathematics & Mathematical Physics. Jul2025, Vol. 65 Issue 7, p1520-1534. 15p.

Subject Terms: *NEUMANN problem, *LAPLACE'S equation, *NUMERICAL integration, *GAUSSIAN quadrature formulas, *ERROR analysis in mathematics, *ELLIPSOIDS, *POTENTIAL functions, *SIMULATION methods & models

Thermocapillary and Photocapillary Effects on a Spherical Droplet Embedded in a Brinkman Medium.

Authors: Aamer, A. S. Ahmed, Baraa A. Mahrous, Samar A.

Source: European Journal of Pure & Applied Mathematics. Jul2025, Vol. 18 Issue 3, p1-39. 39p.

Subject Terms: *LAPLACE'S equation, *STOKES equations, *HYDRODYNAMICS, *POROUS materials, *CAPILLARY flow, *THERMAL gradient measurment

A meshfree method with overlapping domain decomposition for elliptic boundary value problems.

Authors: Valtchev, Svilen S. Marin, Liviu

Source: AIP Conference Proceedings. 2025, Vol. 3315 Issue 1, p1-4. 4p.

Subject Terms: *BOUNDARY value problems, *LAPLACE'S equation, *MESHFREE methods, *NUMERICAL analysis, *ITERATIVE methods (Mathematics), *DOMAIN decomposition methods

ON THE NOETHERNESS OF ONE MIXED BOUNDARY VALUE PROBLEM FOR LAPLACE EQUATION IN THE WEIGHTED SOBOLEV SPACE.

Authors: Gasymov, Telman B. Sadigova, Sabina R. Feyzullayev, Ilkin Q.

Source: Journal of Mathematical Sciences. May2025, Vol. 290 Issue 3, p428-439. 12p.

Subject Terms: *LAPLACE'S equation, *BOUNDARY value problems, *DIRICHLET problem, *SOBOLEV spaces, *MATHEMATICAL symmetry

Potentials for Solenoidal Fields Using the Three-Dimensional φ-Harmonic Cyclic Algebra.

Authors: Díaz-Marín, Homero G. López-González, Elifalet Osuna, Osvaldo

Source: Ukrainian Mathematical Journal. Apr2025, Vol. 76 Issue 11, p1778-1798. 21p.

Subject Terms: *LAPLACE'S equation, *PARTIAL differential equations, *AFFINE transformations, *GEOMETRIC approach, *ASSOCIATIVE algebras, *DIFFERENTIABLE functions, *VECTOR fields