MARIE 2.0: A Perturbation Matrix Based Patient-Specific MRI Field Simulator. [PDF]
IEEE Trans Biomed Eng, 2023 Guryev GD +6 more
europepmc +1 more source
Mesh-free high-resolution simulation of cerebrocortical oxygen supply with fast Fourier preconditioning. [PDF]
Int J Numer Method Biomed Eng, 2023 Ventimiglia T, Linninger AA.
europepmc +1 more source
An augmented IIM-level set method for Stokes equations with discontinuous viscosity
Electronic Journal of Differential Equations, 2007 A finite difference method is proposed for incompressible Stokes equations with discontinuous viscosity. The method combines the augmented immersed interface method with a level set representation of the interface on a uniform Cartesian grid.
Zhilin Li, Sharon R. Lubkin, Xiaohai Wan
doaj
Going Beyond the Limits of Classical Atomistic Modeling of Plasmonic Nanostructures. [PDF]
J Phys Chem C Nanomater Interfaces, 2021 Lafiosca P +3 more
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A Global Krylov Subspace Method for the Sylvester Quaternion Matrix Equation
Journal of New TheoryThis study concerns the Sylvester matrix equation in the quaternion setting when the coefficient matrices as well as the unknown matrix have quaternion entries.
Sinem Şimşek
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How to Best Choose the Outer Coarse Mesh in the Domain Decomposition Method of Bank and Jimack. [PDF]
Vietnam J Math, 2022 Ciaramella G, Gander MJ, Mamooler P.
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基于区域分解求解多尺度HVDC地电流场的广义极小残量迭代算法
Gaoya dianqi, 2018 为准确求解高压直流输电（HVDC）单极运行或故障状态下的入地电流场,需要建立更加贴近实际的计算模型。文中在建模时将接地极的具体尺寸考虑在内,并且将大地模型尺寸增大到上千公里,使得模型更加贴近实际,可以得到更准确的计算结果。考虑到接地极和大地区域尺寸的差距,模型属于多尺度模型。针对多尺度模型,文中采用重叠型的区域分解法,将包含接地极在内的小区域从整体模型中分解出来,独立建模求解。选取虚拟边界上的电位为迭代变量,将整个问题最终转化为非对称实数线性方程组。针对区域分解的迭代 ...
陶瑞祥, 王泽忠
doaj
The algorithmic resolution of spectral-element discretization for the time-dependent Stokes problem
Boundary Value ProblemsWe consider two algorithms for the resolution of the time-dependent Stokes problem with nonstandard boundary conditions by the domain-decomposition spectral-element method.
Henda Ouertani, Mohamed Abdelwahed
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The convergence of the GMRES linear solver is notoriously hard to predict. A particularly enlightening result by [Greenbaum, Pták, Strakoš, 1996] is that, given any convergence curve, one can build a linear system for which GMRES realizes that convergence curve. What is even more extraordinary is that the eigenvalues of the problem matrix can be chosen
Matalon, Pierre, Spillane, Nicole
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A Hybrid Volume-Surface Integral Equation Method for Rapid Electromagnetic Simulations in MRI. [PDF]
IEEE Trans Biomed Eng, 2023 Giannakopoulos II +8 more
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