AI 中文总结
该研究提出一种新型双主元有限元撕裂与对接区域分解方法，采用双通道传输条件求解麦克斯韦方程，可显著减少迭代次数并保持精度、并行性与可扩展性。
AI 中文摘要
本文提出一种新型双主元有限元撕裂与对接（FETI-DP）区域分解方法（DDM），用于求解麦克斯韦方程。该方法基于双通道传输条件（TC）构建，强制子域界面上的切向场和法向通量连续。两个界面通道分别由法拉第定律和安培-麦克斯韦方程构建，同时强制切向场和法向通量连续，相比广泛使用的罗宾传输条件，可将界面跳跃降低数个数量级，所得全局界面方程的迭代收敛性显著提升。针对不同分区策略、子域数量与体积、网格分辨率及几何形状的数值实验表明，迭代次数大幅减少，同时保持了精度、大规模并行性和可扩展性。
英文摘要
A novel dual-primal finite element tearing and interconnecting (FETI-DP) domain decomposition method (DDM) is introduced for solving Maxwell's equations. The proposed method is built upon a two-channel transmission condition (TC) enforcing both tangential-field and normal-flux continuity across subdomain interfaces. Two interface channels are separately constructed from the Faraday and Ampere-Maxwell equations. Simultaneously enforcing tangential-field and normal-flux continuity reduces interface jumps by several orders of magnitude relative to the widely used Robin TC. The resulting global interface equation exhibits markedly improved iterative convergence. Numerical experiments across different partitioning strategies, subdomain counts and volumes, mesh resolutions, and geometries demonstrate drastic reductions in iteration counts, while accuracy, massive parallelism, and scalability are preserved.
Comments9 pages, 4 figures
