Results 61 to 70 of about 713 (182)
Um Esquema GMRES Precondicionado para Simulação de Reservatórios
Trends in Computational and Applied Mathematics, 2002 Descrevemos um método GMRES precondicionado para a resolução de sistemas lineares que aparecem em Simulação de Reservatórios de Petróleo. Três esquemas de precondicionamento são propostos.
L.M. CARVALHO +3 more
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On numerical solution of nonlinear parabolic multicomponent diffusion-reaction problems
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 This work continues our previous analysis concerning the numerical solution of the multi-component mass transfer equations. The present test problems are two-dimensional, parabolic, non-linear, diffusion- reaction equations. An implicit finite difference
Juncu Gh., Popa C., Sarbu Gh.
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Optimal Control Applications and Methods, Volume 47, Issue 2, Page 498-510, March/April 2026.Optimal control combines state and adjoint equations, which yield the state (x$$ x $$) and adjoint (lambda) variables as a function of the control variables (u$$ u $$). This structure allows us to design strategies for iteratively updating the control variable, based on conjugate gradient (CG) or GMRES algorithms.
N. Armengou‐Riera +4 more
wiley +1 more source
A Jacobian‐Free Newton‐Krylov Method for Cell‐Centred Finite Volume Solid Mechanics
International Journal for Numerical Methods in Engineering, Volume 127, Issue 3, 15 February 2026.ABSTRACT This study proposes a Jacobian‐free Newton‐Krylov approach for finite‐volume solid mechanics. Traditional Newton‐based approaches require explicit Jacobian matrix formation and storage, which can be computationally expensive and memory‐intensive.
Philip Cardiff +3 more
wiley +1 more source
The Upper Bound for GMRES on Normal Tridiagonal Toeplitz Linear System
Journal of Mathematical Extension, 2015 The Generalized Minimal Residual method (GMRES) is often used to solve a large and sparse system Ax = b. This paper establishes error bound for residuals of GMRES on solving an N × N normal tridiagonal Toeplitz linear system.
R. Doostaki∗, A. Hadian, S. Azizi
doaj
The Block Preconditioned SOR Method for Solving Indefinite Complex Linear Systems
Numerical Linear Algebra with Applications, Volume 33, Issue 1, February 2026.ABSTRACT In this paper we extend the theory of a block preconditioned SOR method studied by Hezari, Edalaptour, and Salkuyeh (2015) for the solution of indefinite complex linear systems. In particular, we consider the case where the key matrix S$$ S $$ has real eigenvalues which lie in (−∞,+∞)$$ \left(-\infty, +\infty \right) $$ and not only in [0,+∞)$$
M. A. Louka, N. M. Missirlis
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气体物理Although high-order unstructured grid finite volume methods based on variational reconstruction offer advantages like high accuracy and computational efficiency, their iterative convergence robustness and speed significantly lag behind second-order ...
Hanyu ZHOU, Yuxin REN
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An Adaptive Partitioning Parallel MLFMA for Simulating Radome‐Enclosed Antenna Arrays
IET Microwaves, Antennas &Propagation, Volume 20, Issue 1, January/December 2026.This study presents a parallel MLFMA framework for simulating the radiation problems of radome‐enclosed antenna arrays. To achieve load balancing in the near‐field and far‐field interactions, a multiple adaptive partitioning strategy is designed. Numerical results show that the efficiency of the parallel MLFMA exceeds 80% as the number of processes ...
Lei Yin +6 more
wiley +1 more source
International Journal for Numerical Methods in Engineering, Volume 126, Issue 24, 30 December 2025.ABSTRACT Solid oxide fuel cells (SOFCs) are a promising technology for producing clean energy in the future. To enhance the efficiency and the lifetime of SOFCs and SOFC stacks, novel materials and innovative material compositions for the constituent layers—namely the cathode, anode, and electrolyte—must be developed.
Eric Langner +4 more
wiley +1 more source
International Journal for Numerical Methods in Biomedical Engineering, Volume 41, Issue 12, December 2025.Scheme of the cardiac fluid‐structure interaction model including valve‐wall interaction. ABSTRACT To accurately simulate all phases of the cardiac cycle, computational models of hemodynamics in heart chambers need to include a sufficiently faithful model of cardiac valves.
Michele Bucelli, Luca Dede
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