Results 81 to 90 of about 14,331 (187)
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
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.
doaj +1 more source
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
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
doaj +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
wiley +1 more source
Preconditioned iterative solution of the 2D Helmholtz equation [PDF]
, 2002 Using a finite element method to solve the Helmholtz equation leads to a sparse system of equations which in three dimensions is too large to solve directly.
Giles, M. B., Laird, Alistair L.
core
A Comparison of Coupling Strategies for 1D–3D Simulations of Coronary Hemodynamics
International Journal for Numerical Methods in Biomedical Engineering, Volume 41, Issue 12, December 2025.Various 1D–3D coupling strategies combining a one‐dimensional (1D) pulse wave propagation model with three‐dimensional (3D) computational fluid dynamics (CFD) were evaluated for numerous types of complex synthetic coronary lesion geometries. Steady‐state simulations driven by mean flow showed no discrepancy with transient simulations in predicting ...
P. L. J. Hilhorst +6 more
wiley +1 more source
International Journal for Numerical Methods in Fluids, Volume 97, Issue 12, Page 1609-1622, December 2025.In this paper, we consider the concept of discretely divergence‐free finite elements (DDFFE) based on the Rannacher–Turek finite element pair to efficiently solve the three‐dimensional incompressible Navier–Stokes equations. For this purpose, we first define a spanning set of DDFFE functions and then characterize a set of basis functions for arbitrary ...
Christoph Lohmann
wiley +1 more source
Low synchronization GMRES algorithms
, 2018 Communication-avoiding and pipelined variants of Krylov solvers are critical for the scalability of linear system solvers on future exascale architectures. We present low synchronization variants of iterated classical (CGS) and modified Gram-Schmidt (MGS) algorithms that require one and two global reduction communication steps.
Swirydowicz, Kasia +4 more
openaire +2 more sources