Search Results - "Algebraic multigrid methods"

Artificial intelligence-enhanced algebraic multigrid for 3D finite element simulations.

Authors: Goik, Damian Banaś, Krzysztof

Source: Computer Methods in Materials Science; 2026, Vol. 26 Issue 1, p43-47, 6p

Scalable multilevel Monte Carlo methods exploiting parallel redistribution on coarse levels.

Authors: Fairbanks, Hillary R. Kalchev, Delyan Z. Lee, Chak Shing et al.

Source: International Journal of High Performance Computing Applications. Jul2026, Vol. 40 Issue 4, p508-524. 17p.

Deep learning accelerated algebraic multigrid methods for polytopal discretizations of second-order differential problems.

Authors: Antonietti, Paola F. Caldana, Matteo Gentile, Lorenzo Bruno Donato et al.

Source: Mathematical Models & Methods in Applied Sciences. Jul2026, Vol. 36 Issue 8, p1649-1677. 29p.

Subjects: Algebraic multigrid methods, Deep learning, Numerical solutions to partial differential equations, Mathematical optimization, Partial differential equations, Galerkin methods

Modulus-Based Cascadic Multigrid Method for Quasi-variational Inequality Problems.

Authors: Gao, Ke-Yu Li, Chen-Liang

Source: Communications on Applied Mathematics & Computation. Oct2025, Vol. 7 Issue 5, p1977-1992. 16p.

Adaptive Block Algebraic Multigrid Method for Multiphysics Problems.

Authors: Konshin, I. N. Terekhov, K. M.

Source: Computational Mathematics & Mathematical Physics. Jul2025, Vol. 65 Issue 7, p1495-1519. 25p.

Subjects: Algebraic multigrid methods, Poroelasticity, Research methodology, Computational physics, Finite volume method

On improving the robustness and scalability of shared-memory AMG solvers for point-block problems.

Authors: Konshin, Igor N. Terekhov, Kirill M.

Source: Russian Journal of Numerical Analysis & Mathematical Modelling. Apr2026, Vol. 41 Issue 2, p119-149. 31p.

Subjects: Algebraic multigrid methods, Matrix multiplications, Interpolation, Benchmark problems (Computer science), Numerical analysis

Reaching the scalability of a distributed AMG solver.

Authors: Konshin, Igor N. Terekhov, Kirill M.

Source: Russian Journal of Numerical Analysis & Mathematical Modelling. Feb2026, Vol. 41 Issue 1, p45-67. 23p.

Subjects: Algebraic multigrid methods, Scalability, Parallel programming, Linear systems, Elliptic equations, High performance computing, Computational mathematics

Algebraic Multigrid Based Preconditioning Approaches for Generalized Continuum Models and Indirect Displacement Control Techniques.

Authors: Alkmim, Nasser Gamnitzer, Peter Dummer, Alexander et al.

Source: International Journal for Numerical Methods in Engineering. 3/30/2026, Vol. 127 Issue 6, p1-32. 32p.

Subjects: Algebraic multigrid methods, Continuum mechanics, Numerical analysis, Brittle materials

Linear Solvers in OpenFOAM: A Technical Review and SIMPLE Convergence Study.

Authors: El Abbassi, Mohamed Vuik, Cornelis

Source: Fluids; Jun2026, Vol. 11 Issue 6, p148, 21p

An Augmented Lagrangian Preconditioner for Navier–Stokes Equations With Runge–Kutta in Time.

Authors: Leveque, Santolo He, Yunhui Olshanskii, Maxim

Source: Numerical Linear Algebra with Applications; Jun2026, Vol. 33 Issue 3, p1-19, 19p

Chebyshev Smoothing With Adaptive Block‐FSAI Preconditioners for the Multilevel Solution of Higher‐Order Problems With the Partition of Unity Method.

Authors: Recio, Pablo Jiménez Schweitzer, Marc Alexander

Source: Numerical Linear Algebra with Applications; Jun2026, Vol. 33 Issue 3, p1-27, 27p

An Algebraic Preconditioner for the Exactly Divergence‐Free Discontinuous Galerkin Method for Stokes.

Authors: Rhebergen, Sander Southworth, Ben S.

Source: Numerical Methods for Partial Differential Equations. Mar2025, Vol. 41 Issue 2, p1-10. 10p.

Subjects: Algebraic multigrid methods, Stokes equations, Schur complement, Finite element method, Galerkin methods

Cost-optimal adaptive FEM with linearization and algebraic solver for semilinear elliptic PDEs.

Authors: Brunner, Maximilian Praetorius, Dirk Streitberger, Julian

Source: Numerische Mathematik. Apr2025, Vol. 157 Issue 2, p409-445. 37p.

A Simple, Scalable Large Deformation Solid Mechanics Implementation in the MOOSE Framework.

Authors: TIANCHEN HU MESSNER, MARK C.

Source: ACM Transactions on Mathematical Software. Mar2025, Vol. 51 Issue 1, p1-22. 22p.

Efficient Algebraic Multigrid Methods for Multilevel Overlapping Coclustering of User-Item Relationships.

Authors: Xu, Haifeng Kashef, Rasha F. De Sterck, Hans et al.

Source: INFORMS Journal on Computing. May/Jun2022, Vol. 34 Issue 3, p1587-1605. 19p.

Algebraic multigrid methods for uncertainty quantification of source-type flows through randomly heterogeneous porous media.

Authors: Schiano Di Cola, Vincenzo Cuomo, Salvatore Severino, Gerardo et al.

Source: Applied Numerical Mathematics. Dec2025, Vol. 218, p58-72. 15p.

Subjects: Algebraic multigrid methods, Finite volume method, Monte Carlo method, Porous materials, Random fields

Convergence Analysis of an Aggregation‐Based Two‐Grid Method, With Applications to Linear Elasticity.

Authors: Boukhris, Siham Napov, Artem Notay, Yvan

Source: Numerical Linear Algebra with Applications; Apr2026, Vol. 33 Issue 2, p1-23, 23p

Properties of the Graph Modularity Matrix and Its Applications.

Authors: Quiring, Benjamin Vassilevski, Panayot S.

Source: Computational Methods in Applied Mathematics; Apr2026, Vol. 26 Issue 2, p255-265, 11p

Algebraic Multigrid with Filtering: An Efficient Preconditioner for Interior Point Methods in Large-Scale Contact Mechanics Optimization.

Authors: Petrides, Socratis Hartland, Tucker Kolev, Tzanio et al.

Source: SIAM Journal on Scientific Computing; 2026, Vol. 48 Issue 2, pA828-A852, 25p

AN ALGEBRAIC MULTIGRID METHOD FOR OSEEN PROBLEMS.

Authors: NOTAY, YVAN¹ yvan.notay@ulb.be

Source: SIAM Journal on Scientific Computing. 2025, Vol. 47 Issue 5, pA2506-A2532. 27p.

Subjects: Algebraic multigrid methods, Multigrid methods (Numerical analysis), Incompressible flow, Numerical analysis, Numerical solutions to equations, Convective flow, Iterative methods (Mathematics)