Search Results - sequential Dirichlet–Neumann algorithm

New algorithm based on Hermite wavelets and Green's function to solve Thomas-Fermi type differential equations.

Authors: Vivek Kumar, Manoj Shahni, Julee

Source: Numerical Heat Transfer: Part B -- Fundamentals; 2025, Vol. 86 Issue 9, p3138-3157, 20p

Subject Terms: GREEN'S functions, DIFFERENTIAL equations, ALGORITHMS, HERMITE polynomials, COLLOCATION methods, NEWTON-Raphson method, BOUNDARY value problems

Reviews & Products: MATLAB (Computer software)

Perturbation analysis of eigenvalues for second Dirichlet-Neumann tridiagonal Toeplitz matrices.

Authors: Jiang, Zhaolin Chu, Hongxiao Miao, Qiaoyun et al.

Source: AIMS Mathematics; 2025, Vol. 10 Issue 10, p1-18, 18p

Subject Terms: EIGENVALUES, TOEPLITZ matrices, SPECTRAL sensitivity, PERTURBATION theory, MATHEMATICAL optimization, NEUMANN boundary conditions

Dirichlet–Neumann waveform relaxation methods for parabolic and hyperbolic problems in multiple subdomains.

Authors: Gander, Martin J. Kwok, Felix Mandal, Bankim C.

Source: BIT: Numerical Mathematics; Mar2021, Vol. 61 Issue 1, p173-207, 35p

Subject Terms: DOMAIN decomposition methods, WAVE equation, HEAT equation, SPACETIME, INFORMATION sharing, ALGORITHMS

Greedy Algorithm for Neural Networks for Indefinite Elliptic Problems.

Authors: Hong, Qingguo Jia, Jiwei Lee, Young Ju et al.

Source: Journal of Scientific Computing; Sep2025, Vol. 104 Issue 3, p1-26, 26p

Linear and nonlinear Dirichlet–Neumann methods in multiple subdomains for the Cahn–Hilliard equation.

Authors: Garai, Gobinda Mandal, Bankim C.

Source: International Journal of Computer Mathematics; Dec2023, Vol. 100 Issue 12, p2157-2183, 27p

Subject Terms: EQUATIONS, SCHWARZ function, PARALLEL programming, CAHN-Hilliard-Cook equation

Domain decomposition method with hybrid approximations applied to solve problems of elasticity.

Authors: Grigorenko, A. Dyyak, I. Prokopyshin, I.

Source: International Applied Mechanics; Nov2008, Vol. 44 Issue 11, p1213-1222, 10p, 3 Charts, 11 Graphs

Subject Terms: RESEARCH, ELASTICITY, ALGORITHMS, DECOMPOSITION method, PROPERTIES of matter

DOMAIN DECOMPOSITION LEARNING METHODS FOR SOLVING ELLIPTIC PROBLEMS.

Authors: QI SUN XUEJUN XU HAOTIAN YI

Source: SIAM Journal on Scientific Computing; 2024, Vol. 46 Issue 4, pA2445-A2474, 30p

Subject Terms: DOMAIN decomposition methods, MACHINE learning, RITZ method, BOUNDARY value problems, DECOMPOSITION method, DEEP learning

A deep learning approach: physics-informed neural networks for solving a nonlinear telegraph equation with different boundary conditions: A deep learning approach: physics-informed neural networks...: A. T. Deresse, A. S. Bekela.

Authors: Deresse, Alemayehu Tamirie Bekela, Alemu Senbeta

Source: BMC Research Notes; 2/19/2025, Vol. 18 Issue 1, p1-21, 21p

Subject Terms: ARTIFICIAL neural networks, MACHINE learning, BOUNDARY value problems, PARTIAL differential equations, NONLINEAR equations, DEEP learning, FEEDFORWARD neural networks

An Improved Causal Physics-Informed Neural Network Solution of the One-Dimensional Cahn–Hilliard Equation.

Authors: Hu, Jinyu Huang, Jun-Jie

Source: Applied Sciences (2076-3417); Aug2025, Vol. 15 Issue 16, p8863, 30p

Subject Terms: PARTIAL differential equations, MACHINE learning, CAHN-Hilliard-Cook equation, CAUSATION (Philosophy), STABILITY (Mechanics), ADAPTIVE sampling (Statistics), DYNAMICAL systems

Parallel Computation Using Non-Overlapping Domain Decomposition Coupled with Compact Local Integrated RBF for Navier–Stokes Equations.

Authors: Pham-Sy, Nam Tran, Canh-Dung

Source: International Journal of Computational Fluid Dynamics; Dec2022, Vol. 36 Issue 10, p835-856, 22p

Subject Terms: DOMAIN decomposition methods, NAVIER-Stokes equations, RADIAL basis functions, PARALLEL algorithms, FLUID flow, NATURAL heat convection

GPU parallel computation strategy for electrothermal coupling problems using improved assembly-free FEM.

Authors: Wu, Shaowen Wang, Youyuan Hou, Jinhong et al.

Source: Journal of Computational Design & Engineering; Apr2024, Vol. 11 Issue 2, p269-284, 16p

Subject Terms: PARALLEL algorithms, GRAPHICS processing units, FINITE element method, DEGREES of freedom

On the number of subproblem iterations per coupling step in partitioned fluid‐structure interaction simulations.

Authors: Spenke, Thomas Delaissé, Nicolas Degroote, Joris et al.

Source: International Journal for Numerical Methods in Engineering; Apr2024, Vol. 125 Issue 7, p1-28, 28p

Subject Terms: FLUID-structure interaction, PARALLEL algorithms

Convergence of the domain decomposition finite element–boundary element coupling methods: Convergence of the domain decomposition finite element--boundary element coupling methods

Authors: Mohamed A. El-Gebeily Wael Elleithy Husain J. Al-Gahtani

Source: Computer Methods in Applied Mechanics and Engineering. 191:4851-4867

Subject Terms: Schwarz Dirichlet-Neumann scheme, Multigrid methods, domain decomposition for boundary value problems involving PDEs, convergence, iterative algorithms, finite element method, Boundary element methods for boundary value problems involving PDEs, 02 engineering and technology, Stability and convergence of numerical methods for boundary value problems involving PDEs, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Schwarz Neumann-Neumann scheme, 01 natural sciences, boundary element method, domain decomposition, Boundary value problems for second-order elliptic equations, 0203 mechanical engineering, coupling, 0101 mathematics

File Description: application/xml

Access URL: https://ui.adsabs.harvard.edu/abs/2002CMAME.191.4851E/abstract
https://www.sciencedirect.com/science/article/abs/pii/S004578250200405X

Quantum Physics-Informed Neural Networks.

Authors: Trahan, Corey Loveland, Mark Dent, Samuel

Source: Entropy; Aug2024, Vol. 26 Issue 8, p649, 17p

Subject Terms: QUANTUM computing, PARTIAL differential equations, MACHINE learning, ALGORITHMS, PHYSICS

On a new computational algorithm for impacts of elastic bodies.

Authors: Štekbauer, Hynek Němec, Ivan Lang, Rostislav et al.

Source: Applications of Mathematics; Dec2022, Vol. 67 Issue 6, p775-804, 30p

Subject Terms: NONLINEAR analysis, ALGORITHMS, APPLIED mechanics, ENGINEERING mathematics

Solving the one dimensional vertical suspended sediment mixing equation with arbitrary eddy diffusivity profiles using temporal normalized physics-informed neural networks.

Authors: Zhang, Shaotong Deng, Jiaxin Li, Xi'an et al.

Source: Physics of Fluids; Jan2024, Vol. 36 Issue 1, p1-16, 16p

Subject Terms: SUSPENDED sediments, APPROXIMATION algorithms, OCEAN engineering, EQUATIONS, ANALYTICAL solutions

On the stability of loose and strong partitioned algorithms for thermal coupling of domains using higher order implicit time integation schemes

Authors: Kazemi Kamyab, V. (author) Van Zuijlen, A.H. (author) Bijl, H. (author)

Index Terms: high order implicit time integratio, conjugate heat, partitioned algorithm, stability, conference paper, Text

URL: http://resolver.tudelft.nl/uuid:da1014eb-4425-4902-a4e6-c3882c5c056c
WCCM 2012: Proceedings of 10th World Congress on Computational Mechanics, São Paulo, Brazil, 8-13 Juli 2012

A Robin‐Neumann scheme with quasi‐Newton acceleration for partitioned fluid‐structure interaction.

Authors: Spenke, Thomas Make, Michel Hosters, Norbert

Source: International Journal for Numerical Methods in Engineering; 2/28/2023, Vol. 124 Issue 4, p979-997, 19p

Subject Terms: FLUID-structure interaction, QUASI-Newton methods, PRICES

A Class of Iterative Solvers for the Helmholtz Equation: Factorizations, Sweeping Preconditioners, Source Transfer, Single Layer Potentials, Polarized Traces, and Optimized Schwarz Methods.

Authors: Gander, Martin J. Hui Zhang

Source: SIAM Review; 2019, Vol. 61 Issue 1, p3-76, 74p

Subject Terms: YANG-Baxter equation, DOMAIN decomposition methods, HELMHOLTZ equation, ELLIPTIC operators, THEORY of wave motion, ALGORITHMS

Stability analysis and energy-preserved schemes for coupled diffusion equations with interface conditions.

Authors: Munir, Taj Kang, Can Wu, Licheng et al.

Source: International Journal of Numerical Methods for Heat & Fluid Flow; 2025, Vol. 35 Issue 4, p1264-1296, 33p

Subject Terms: FINITE difference method, HEAT equation, FINITE element method, HEAT flux, ENERGY conservation