Search Results - "DOMAIN decomposition methods"

Domain Decomposition for Integer Optimal Control with Total Variation Regularization.

Authors: Baraldi, Robert Manns, Paul

Source: SIAM Journal on Control & Optimization. 2025, Vol. 63 Issue 6, p3825-3855. 31p.

Subject Terms: *INTEGER programming, *MATHEMATICAL optimization, DOMAIN decomposition methods, MATHEMATICAL regularization, VARIATIONAL approach (Mathematics), OPTIMIZATION algorithms

Analysis of the spectral harmonically enriched multiscale coarse space (SHEM) in 2D.

Authors: Gander, Martin J. Loneland, Atle Rahman, Talal

Source: Computers & Mathematics with Applications. Dec2025, Vol. 200, p243-259. 17p.

Subject Terms: *DOMAIN decomposition methods, *NUMERICAL analysis, *EIGENVALUES

GenEO spectral coarse spaces in SPD domain decomposition.

Authors: Spillane, Nicole¹ (AUTHOR) nicole.spillane@polytechnique.edu

Source: Numerical Algorithms. Dec2025, Vol. 100 Issue 4, p1987-2020. 34p.

Subject Terms: *DOMAIN decomposition methods, *COARSE structure, *KRYLOV subspace, *OPERATOR functions, *EIGENVALUES

Optimized Schwarz waveform relaxation methods for wave-heat coupling in one dimensional bounded domains.

Authors: Chouly, Franz Gander, Martin J. Martin, Véronique

Source: Numerical Algorithms. Dec2025, Vol. 100 Issue 4, p1739-1763. 25p.

Subject Terms: *DOMAIN decomposition methods, *PARTIAL differential equations, *NUMERICAL analysis, *SIMULATION methods & models, *THEORY of wave motion, *PARALLEL processing, *BOUNDARY value problems

A posteriori error estimates for the DD+L2 jumps method on the neutron diffusion equations.

Authors: Ciarlet, Patrick Do, Minh Hieu Gervais, Mario et al.

Source: Computers & Mathematics with Applications. Oct2025, Vol. 195, p349-365. 17p.

Subject Terms: *NEUTRON transport theory, *DOMAIN decomposition methods, *APPROXIMATION error, *MATHEMATICAL variables, *DISCRETIZATION methods, *LAGRANGE multiplier, *ITERATIVE methods (Mathematics)

Domain decomposition based physics and equality constrained neural networks for the Helmholtz equation.

Authors: Won, Sungmin Olson, Evan Tu, Xuemin

Source: Electronic Research Archive. 2025, Vol. 33 Issue 10, p1-25. 25p.

Subject Terms: *DOMAIN decomposition methods, *HELMHOLTZ equation, *SCALABILITY, *LOSS functions (Statistics), *SIMULATION methods & models, *WAVENUMBER

Spillover effects of economic policy uncertainty among the US and BRIC countries: based on time and frequency domain perspectives.

Authors: Guo, Junjie Yang, Yingce He, Ruihong

Source: Applied Economics. May2025, Vol. 57 Issue 25, p3412-3426. 15p.

Subject Terms: *ECONOMIC policy, *INVESTORS, DOMAIN decomposition methods, ECONOMIC uncertainty, TIME perspective

Cross-time causal physics-informed neural networks for dynamic time-dependent problems.

Authors: Chen, Hengjie Chen, Wenjie Ye, Qi

Source: International Journal of Wavelets, Multiresolution & Information Processing. Sep2025, p1. 18p.

Subject Terms: *PARTIAL differential equations, *DOMAIN decomposition methods, *CAUSATION (Philosophy), *MACHINE learning, *DYNAMICAL systems

A domain decomposing reduced-order method for solving the multi-domain transient heat conduction problems.

Authors: Liang, Yu Liu, Hua-Yu Gao, Xiao-Wei

Source: Numerical Heat Transfer: Part B -- Fundamentals. 2025, Vol. 86 Issue 9, p2856-2878. 23p.

Subject Terms: *DOMAIN decomposition methods, *REDUCED-order models, *BOUNDARY value problems, *HEAT conduction, *FINITE element method, *PROPER orthogonal decomposition

An extension of the approximate component mode synthesis method to the heterogeneous Helmholtz equation Open Access.

Authors: Giammatteo, Elena Heinlein, Alexander Schlottbom, Matthias

Source: IMA Journal of Numerical Analysis. Sep2025, Vol. 45 Issue 5, p2844-2879. 36p.

Subject Terms: *HELMHOLTZ equation, *DOMAIN decomposition methods, *ITERATIVE methods (Mathematics), *EMPIRICAL research, *ERROR analysis in mathematics, *MATHEMATICAL analysis, *EIGENFUNCTIONS, *ELLIPTIC differential equations

On the linear convergence of additive Schwarz methods for the p-Laplacian Open Access.

Authors: Lee, Young-Ju Park, Jongho

Source: IMA Journal of Numerical Analysis. Sep2025, Vol. 45 Issue 5, p2655-2684. 30p.

Subject Terms: *BOUNDARY value problems, *DOMAIN decomposition methods, *EMPIRICAL research, *LAPLACIAN operator, *MATHEMATICAL inequalities

Neurons for Neutrons: A Transformer Model for Computation Load Estimation on Domain-Decomposed Neutron Transport Problems.

Authors: Mote, Alexander Palmer, Todd Chen, Lizhong

Source: Journal of Computational & Theoretical Transport. 2025, Vol. 54 Issue 5, p381-407. 27p.

Subject Terms: *DOMAIN decomposition methods, *TRANSFORMER models, *SIMULATION methods & models, *NUCLEAR reactors, *RESOURCE allocation, *NEUTRON transport theory

Convergence of the Dirichlet–Neumann Alternating Method for Semilinear Elliptic Equations.

Authors: Engström, Emil¹ (AUTHOR) emil.engstrom@math.lth.se

Source: SIAM Journal on Numerical Analysis. 2025, Vol. 63 Issue 5, p2133-2154. 22p.

Subject Terms: *SEMILINEAR elliptic equations, *DOMAIN decomposition methods, *ASYMPTOTIC expansions, *DECOMPOSITION method, *HILBERT space, *LIPSCHITZ continuity, *ITERATIVE methods (Mathematics)

Two-Grid Domain Decomposition Methods for the Steady-State Navier-Stokes-Darcy Model.

Authors: Hao Zheng Liyun Zuo

Source: Engineering Letters. Aug2025, Vol. 33 Issue 8, p3197-3203. 7p.

Subject Terms: *DOMAIN decomposition methods, *STEADY-state flow, *BOUNDARY value problems

Domain decomposition multiple scattering solvers by semi-infinite and infinite arrays of discrete identical scatterers in two dimensions.

Authors: Petropoulos, Peter G. Turc, Catalin

Source: Philosophical Transactions of the Royal Society A: Mathematical, Physical & Engineering Sciences. 8/1/2025, Vol. 383 Issue 2303, p1-29. 29p.

Subject Terms: *DOMAIN decomposition methods, *MULTIPLE scattering (Physics), *INTEGRAL operators, *NUMERICAL analysis, *SPECTRAL theory

Multiple Camera-Based Digital Twin Creation and Dynamic Earthquake Simulation of Historical Masonry Minarets.

Authors: Aslan, Tunahan Hacıefendioğlu, Kemal Duman, Cemile

Source: Journal of Computing in Civil Engineering. Jul2025, Vol. 39 Issue 4, p1-14. 14p.

Subject Terms: *STRUCTURAL health monitoring, *DOMAIN decomposition methods, *DIGITAL twin, *MODE shapes, *DISPLACEMENT (Mechanics), *VIDEO monitors

A nonoverlapping domain decomposition method for extreme learning machines: Elliptic problems.

Authors: Lee, Chang-Ock Lee, Youngkyu Ryoo, Byungeun

Source: Computers & Mathematics with Applications. Jul2025, Vol. 189, p109-128. 20p.

Subject Terms: *EXTREME learning machines, *DOMAIN decomposition methods, *PARTIAL differential equations, *SCHUR complement, *COMPLEMENT activation

ANALYSIS OF AN EFFICIENT PARAMETER UNIFORM DOMAIN DECOMPOSITION APPROACH FOR SINGULARLY PERTURBED GIERER-MEINHARDT TYPE NONLINEAR COUPLED SYSTEMS OF PARABOLIC PROBLEMS.

Authors: AAKANSHA KUMAR, SUNIL DAS, PRATIBHAMOY

Source: International Journal of Numerical Analysis & Modeling. 2025, Vol. 22 Issue 4, p459-482. 24p.

Subject Terms: *DOMAIN decomposition methods, *SINGULAR perturbations, *EULER method, *BOUNDARY layer (Aerodynamics), *NONLINEAR systems, *DIFFERENTIAL-difference equations

Neumann-Neumann type domain decomposition of elliptic problems on metric graphs

Authors: Kovacs, Mihaly Vaghy, Mihaly

Source: BIT Numerical Mathematics. 65(2)

Subject Terms: Quantum graphs, Nonoverlapping domain decomposition methods, Finite element methods, Elliptic partial differential equations

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Discrete least square method for nonmatching mesh problems.

Authors: Choi, Jae-Hoon Lee, Byung-Chai Sim, Gi-Dong

Source: Mathematics & Computers in Simulation. Jan2026, Vol. 239, p1-25. 25p.

Subject Terms: *LEAST squares, *DOMAIN decomposition methods, *SURFACE forces, *ALGORITHMS, *PARALLEL programming