Finite volume stiffness matrix for solving anisotropic cardiac propagation in 2-D and 3-D unstructured meshes
Finite volume stiffness matrix for solving anisotropic cardiac propagation in 2-D and 3-D unstructured meshes
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DOI：
10.1109/tbme.2005.851459
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发表时间：
2005-08-01
影响因子：
4.6
通讯作者：
Henriquez, CS
中科院分区：
文献类型：
--
作者：
Jacquemet, V;Henriquez, CS
最近，有限体积法 (FVM) 已被证明是离散控制各向异性心脏组织中波前传播的反应扩散方程的有效方法，因为它可以自然地处理复杂的几何形状和无通量边界条件，而无需使用鬼节点。本次交流提出了使用对偶基础概念的三角形和四面体网格的 FVM 替代公式。给出了基于这种形式的算法，该算法可以有效计算刚度矩阵，有助于将空间自适应方案和随时间变化的材料属性纳入心脏动力学的数值模拟中。
The finite volume method (FVM) has been shown recently to be an effective method for discretizing the reaction-diffusion equations that govern wavefront propagation in anisotropic cardiac tissue, as it can naturally handle both complex geometries and no flux boundary conditions without the use of ghost nodes. This communication presents an alternative formulation of FVM for triangle and tetrahedral meshes using the concept of dual basis. An algorithm based on this form is given that leads to an efficient computation of the stiffness matrix, facilitating the incorporation of space adaptive schemes and time varying material properties into numerical simulations of cardiac dynamics.