CAJ | 학술논문

提出局部共形完全匹配层在高阶有限元中的实现方法,用于分析三维电磁散射问题.基于定义在局部高阶单元上的实坐标、复坐标以及参数坐标三者之间的映射关系,局部共形完全匹配层不仅能够贴近复杂结构散射体的外廓形状设置截断区域,有效地缩减有限元分析区域,而且由于保证了较高的几何拟合精度,可以有效地提高数值计算结果的准确性.利用这种结合局部共形完全匹配层的高阶有限元方法分析不同目标的电磁散射特性,数值结果表明方法的正确性和有效性.
제출국부공형완전필배층재고계유한원중적실현방법,용우분석삼유전자산사문제.기우정의재국부고계단원상적실좌표、복좌표이급삼수좌표삼자지간적영사관계,국부공형완전필배층불부능구첩근복잡결구산사체적외곽형상설치절단구역,유효지축감유한원분석구역,이차유우보증료교고적궤하의합정도,가이유효지제고수치계산결과적준학성.이용저충결합국부공형완전필배층적고계유한원방법분석불동목표적전자산사특성,수치결과표명방법적정학성화유효성.
Locally conformal perfectly matched layer (PML) is extended to a high order FEM combined with curvilinear elements and high order basis functions, which proves accuracy and efficiency. It is able to handle challenging geometries with arbitrary curvatures with few unknown numbers, especially those with curvature discontinuities. Validity of the proposed method is demonstrated.