Search Results - parallel Neumann–Neumann algorithm~

New Time Domain Decomposition Methods for Parabolic Optimal Control Problems II: Neumann–Neumann Algorithms: New time domain decomposition methods for parabolic optimal control problems. II: Neumann-Neumann algorithms

Authors: Martin J. Gander Liu-Di Lu

Source: SIAM Journal on Numerical Analysis. 62:2588-2610

Subject Terms: Finite difference methods for boundary value problems involving PDEs, Controllability, parallel in time, time domain decomposition, 65M12, 65M55, 65Y05, Parallel numerical computation, parabolic optimal control problems, Numerical Analysis (math.NA), PDE constrained optimization (numerical aspects), 01 natural sciences, convergence analysis, Neumann-Neumann algorithm, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, Optimization and Control (math.OC), Approximation by arbitrary linear expressions, Finite difference methods for initial value and initial-boundary value problems involving PDEs, 0103 physical sciences, FOS: Mathematics, Mathematics - Numerical Analysis, 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Mathematics - Optimization and Control

File Description: application/xml

Access URL: http://arxiv.org/abs/2401.15522
https://zbmath.org/7957568
https://doi.org/10.1137/24m1634424

NEW TIME DOMAIN DECOMPOSITION METHODS FOR PARABOLIC OPTIMAL CONTROL PROBLEMS II: NEUMANN-NEUMANN ALGORITHMS.

Authors: GANDER, MARTIN J. LIU-DI LU

Source: SIAM Journal on Numerical Analysis; 2024, Vol. 62 Issue 6, p2588-2610, 23p

Subject Terms: DOMAIN decomposition methods, PARALLEL algorithms, NUMERICAL analysis, ALGORITHMS

A Neumann-Neumann Domain Decomposition Algorithm for Solving Plate and Shell Problems

Authors: Le Tallec, Patrick Mandel, Jan Vidrascu, Marina

Source: SIAM Journal on Numerical Analysis, 1998 Apr 01. 35(2), 836-867.

Access URL: https://www.jstor.org/stable/2587158

A Neumann-Neumann algorithm for a mortar discretization of elliptic problems with discontinuous coefficients

Authors: Maksymilian Dryja

Source: Numerische Mathematik. 99:645-656

Subject Terms: Multigrid methods, domain decomposition for boundary value problems involving PDEs, PDEs with low regular coefficients and/or low regular data, Neumann-Neumann algorithm, convergence, Boundary value problems for second-order elliptic equations, mortar finite element, additive Schwarz methods, Parallel numerical computation, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, 0101 mathematics, parallel computation, discontinuous coefficients, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/2155990
https://doi.org/10.1007/s00211-004-0573-2
https://link.springer.com/content/pdf/10.1007%2Fs00211-004-0573-2.pdf
https://link.springer.com/article/10.1007%2Fs00211-004-0573-2

A Neumann--Neumann Domain Decomposition Algorithm for Solving Plate and Shell Problems: A Neumann-Neumann domain decomposition algorithm for solving plate and shell problems

Authors: Patrick Le Tallec Marina Vidrascu Jan Mandel

Source: SIAM Journal on Numerical Analysis. 35:836-867

Subject Terms: Iterative numerical methods for linear systems, Multigrid methods, domain decomposition for boundary value problems involving PDEs, Membranes, preconditioner, Finite element methods applied to problems in solid mechanics, substructuring, coarse problem, balancing, 01 natural sciences, parametric variational principles, large-scale linear systems, parallel scalability, 0101 mathematics, Plates

File Description: application/xml

Access URL: https://hal.inria.fr/inria-00077196/file/RR-2635.pdf
https://hal.inria.fr/inria-00077196/document
https://epubs.siam.org/doi/abs/10.1137/S0036142995291019
https://hal.inria.fr/inria-00077196

Analysis of two new parareal algorithms based on the Dirichlet-Neumann/Neumann-Neumann waveform relaxation method for the heat equation.

Authors: Song, Bo Jiang, Yao-Lin Wang, Xiaolong

Source: Numerical Algorithms; Apr2021, Vol. 86 Issue 4, p1685-1703, 19p

Subject Terms: HEAT equation, DOMAIN decomposition methods, ALGORITHMS, PROBLEM solving, PARALLEL algorithms, DIRICHLET principle

面向大规模并行计算的区域平衡PDE求解方法. (Chinese)

Alternate Title: Balancing domain decomposition method of solving PDE for massively parallel computing. (English)

Authors: 陈玉惠 黄诗杰 姚清河

Source: Acta Scientiarum Naturalium Universitatis Sunyatseni / Zhongshan Daxue Xuebao; Sep2025, Vol. 64 Issue 5, p50-58, 9p

Subject Terms: PARTIAL differential equations, DOMAIN decomposition methods, HEAT equation, POISSON'S equation, WAVE equation, FINITE element method, PARALLEL programming, CONJUGATE gradient methods

Pipeline implementations of Neumann-Neumann and Dirichlet-Neumann waveform relaxation methods.

Authors: Ong, Benjamin W. Mandal, Bankim C.

Source: Numerical Algorithms; May2018, Vol. 78 Issue 1, p1-20, 20p

Subject Terms: ALGORITHMS, ALGEBRA, FINITE differences, DIFFERENTIAL equations, PARTIAL differential equations

Coupling Parareal with Non-Overlapping Domain Decomposition Method ; Couplage du Pararéel avec Méthode de Décomposition de Domaine Sans Recouvrement

Authors: Guetat, Rim Université de Tunis El Manar (UTM) Département de mathématiques Tunis et al.

Contributors: Guetat, Rim Université de Tunis El Manar (UTM) Département de mathématiques Tunis et al.

Source: EISSN: 1638-5713 ; Revue Africaine de Recherche en Informatique et Mathématiques Appliquées ; https://hal.science/hal-01312528 ; Revue Africaine de Recherche en Informatique et Mathématiques Appliquées, 2016, Volume 23 - 2016 - Special issue for LEM2I 2016, ⟨10.46298/arima.1474⟩

Subject Terms: Parallel Algorithm, Parareal algorithm, Non-overlapping domain decomposition method, Schur complement, Neumann-Neumann method, Advection-Dominated Diffusion Poblem, GMRES, Preconditioner, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA], [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]

Relation: hal-01312528; https://hal.science/hal-01312528; https://hal.science/hal-01312528v2/document; https://hal.science/hal-01312528v2/file/ARIMA-Vol23-Guetat.pdf

Availability: https://hal.science/hal-01312528
https://hal.science/hal-01312528v2/document
https://hal.science/hal-01312528v2/file/ARIMA-Vol23-Guetat.pdf
https://doi.org/10.46298/arima.1474

Analysis of a New Accelerated Waveform Relaxation Method Based on the Time-Parallel Algorithm.

Authors: Li, Jun Jiang, Yaolin

Source: Journal of Scientific Computing; Sep2023, Vol. 96 Issue 3, p1-32, 32p

A Neumann–Neumann algorithm for a mortar finite element discretization of fourth‐order elliptic problems in 2D

Authors: Leszek Marcinkowski

Source: Numerical Methods for Partial Differential Equations. 25:1425-1442

Subject Terms: 0101 mathematics, 01 natural sciences

Access URL: https://www.onlinelibrary.wiley.com/doi/abs/10.1002/num.20406
https://onlinelibrary.wiley.com/doi/10.1002/num.20406

A Neumann-Neumann algorithm for a mortar discretization of elliptic problems with discontinuous coefficients.

Authors: Maksymilian Dryja

Source: Numerische Mathematik; Feb2005, Vol. 99 Issue 4, p645-656, 37p

Subject Terms: ALGORITHMS, VON Neumann algebras, BINOMIAL coefficients, FINITE element method

PARAOPT: A PARAREAL ALGORITHM FOR OPTIMALITY SYSTEMS.

Authors: GANDER, MARTIN J. KWOK, FELIX SALOMON, JULIEN

Source: SIAM Journal on Scientific Computing; 2020, Vol. 42 Issue 5, pA2773-A2802, 30p

Subject Terms: NONLINEAR differential equations, PARTIAL differential equations, PARALLEL algorithms, EVOLUTION equations, ALGORITHMS, CONSTRAINED optimization

Newton–Krylov-BDDC deluxe solvers for non-symmetric fully implicit time discretizations of the bidomain model.

Authors: Huynh, Ngoc Mai Monica

Source: Numerische Mathematik; Dec2022, Vol. 152 Issue 4, p841-879, 39p

Subject Terms: CONSTRAINT algorithms, NONLINEAR equations, NONLINEAR systems, PARALLEL algorithms

A SUPERLINEAR CONVERGENCE ESTIMATE FOR THE PARAREAL SCHWARZ WAVEFORM RELAXATION ALGORITHM.

Authors: GANDER, MARTIN J. YAO-LIN JIANG BO SONG

Source: SIAM Journal on Scientific Computing; 2019, Vol. 41 Issue 2, pA1148-A1169, 22p

Subject Terms: SCHWARZ function, DOMAIN decomposition methods, PARTIAL differential equations, PARALLEL algorithms, HEAT equation, NUMERICAL analysis, RELAXATION techniques

Parallel domain decomposition algorithms for solving plate and shell problems

Authors: Patrick Le Tallec Jan Mandel Marina Vidrascu et al.

Contributors: Patrick Le Tallec Jan Mandel Marina Vidrascu et al.

Source: http://www.ann.jussieu.fr/~frey/papers/domain decomposition/Le Tallec P., A Neumann-Neumann Domain Decomposition Algorithm for Solving Plate and Shell Problems.pdf.

Subject Terms: Key words. iterative methods, preconditioning, domain decomposition, substructuring, coarse problem, balancing, plates, shells, parametric variational principles

File Description: application/pdf

Relation: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.413.8736

Availability: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.413.8736
http://www.ann.jussieu.fr/~frey/papers/domain decomposition/Le Tallec P., A Neumann-Neumann Domain Decomposition Algorithm for Solving Plate and Shell Problems.pdf

Scalable domain decomposition preconditioner for Navier–Stokes equations coupled with the heat equation.

Authors: Aldbaissy, Rim Hecht, Frédéric Mansour, Gihane et al.

Source: International Journal of Computer Mathematics; Mar2022, Vol. 99 Issue 3, p591-606, 16p

Subject Terms: NAVIER-Stokes equations, HEAT equation, DOMAIN decomposition methods, THERMAL instability, PARALLEL algorithms, 3-D printers, PARTIAL differential equations

Hierarchical subspace evolution method for super large parallel computing: A linear solver and an eigensolver as examples.

Authors: Xu, Hui Liu, Bin

Source: International Journal for Numerical Methods in Engineering; 1/15/2023, Vol. 124 Issue 1, p5-39, 35p

Subject Terms: PARALLEL programming, LINEAR equations, SCIENTIFIC computing, DEGREES of freedom, ENGINEERING simulations

Preconditioning by Projectors in the Solution of Contact Problems: A Parallel Implementation.

Authors: Dostál, Z. Friedlander, A. Gomes, F. A. M. et al.

Source: Annals of Operations Research; Nov2002, Vol. 117 Issue 1-4, p117-129, 13p, 2 Diagrams, 3 Charts

Subject Terms: ALGORITHMS, MATHEMATICAL decomposition, CONVEX programming, QUADRATIC programming, MATHEMATICAL programming

FEM and BEM parallel processing: theory and applications - a bibliography (1996-2002).

Authors: Jaroslav Mackerle

Source: Engineering Computations; 2003, Vol. 20 Issue 4, p436, 49p

Subject Terms: BOUNDARY element methods, NUMERICAL analysis, ALGORITHMS, FOUNDATIONS of arithmetic, MATHEMATICS