Results 51 to 60 of about 713 (182)
Breakdown-free GMRES for Singular Systems [PDF]
SIAM Journal on Matrix Analysis and Applications, 2005 The generalized minimal residual (GMRES) method is based on the Arnoldi process, which may suffer from benign or hard breakdown. First the authors investigate in which space the solution of the system (or the least squares solution in the case of an inconsistent system) \(Ax=b\) can be found.
Reichel, Lothar, Ye, Qiang
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Energy‐Efficient Microwave Sintering of Binder‐Jetted Alumina
Journal of the American Ceramic Society, Volume 109, Issue 4, April 2026.Flowchart showing the developed microwave (MW) method to rapidly (∼48x faster) and uniformly heat binder‐jet 3D‐printed Al2O3 complex geometries with ∼96% lower energy consumption over conventional sintering process. Multiphysics simulations investigated the effects of susceptor configurations for thermal‐field control.
Bashu Aman +6 more
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Preconditioning GMRES for discontinuous Galerkin approximations
Computer Assisted Methods in Engineering and Science, 2023 The paper presents an implementation and the performance of several preconditioners for the discontinuous Galerkin approximation of diffusion dominated and pure diffusion problems.
Krzysztof Banaś, Mary F. Wheeler
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Frontiers in Built Environment, 2018 In this paper a parallel iterative solver based on the Generalized Minimum Residual Method (GMRES) with complex-valued coefficients is explored, with applications to the Boundary Element Method (BEM).
Jorge Molina-Moya +2 more
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Stabilizing randomized GMRES through flexible GMRES
We explore the use of flexible GMRES as an outer wrapper for sketched GMRES. Building on a new bound for the residual of FGMRES in terms of the residual of the preconditioner, we derive a practical randomized solver that requires very little parameter tuning, while still being efficient and robust in the sense of generating non-increasing residual ...
Güttel, Stefan, Pearson, John W.
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International Journal for Numerical Methods in Engineering, Volume 127, Issue 6, 30 March 2026.ABSTRACT The contribution deals with algebraic multigrid (AMG) based preconditioning methods for the iterative solution of a coupled linear system of equations arising in numerical simulations of failure of quasi‐brittle materials using generalized continuum approaches.
Nasser Alkmim +4 more
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Comparison of different iterative schemes for ISPH based on Rankine source solution
International Journal of Naval Architecture and Ocean Engineering, 2017 Smoothed Particle Hydrodynamics (SPH) method has a good adaptability for the simulation of free surface flow problems. There are two forms of SPH. One is weak compressible SPH and the other one is incompressible SPH (ISPH).
Xing Zheng, Qing-wei Ma, Wen-yang Duan
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SoftwareX, 2022 This paper presents an overview of the functionalities and applications of Exasim, an open-source code for generating high-order discontinuous Galerkin codes to numerically solve parametrized partial differential equations (PDEs).
Jordi Vila-Pérez +3 more
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Accelerating Conjugate Gradient Solvers for Homogenization Problems With Unitary Neural Operators
International Journal for Numerical Methods in Engineering, Volume 127, Issue 5, 15 March 2026.ABSTRACT Rapid and reliable solvers for parametric partial differential equations (PDEs) are needed in many scientific and engineering disciplines. For example, there is a growing demand for composites and architected materials with heterogeneous microstructures.
Julius Herb, Felix Fritzen
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A Randomized Q-OR Krylov Subspace Method for Solving Nonsymmetric Linear Systems
MathematicsThe most popular iterative methods for solving nonsymmetric linear systems are Krylov methods. Recently, an optimal Quasi-ORthogonal (Q-OR) method was introduced, which yields the same residual norms as the Generalized Minimum Residual (GMRES) method ...
Gérard Meurant
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