AN EXTENDED FINITE ELEMENT METHOD FOR 2D EDGE ELEMENTS

作者：Lefevre Francois^*; Lohrengel Stephanie; Nicaise Serge

来源：International Journal of Numerical Analysis and Modeling, 2011, 8(4): 641-666.

• Maxwell's equations
• domains with cracks
• XFEM
• singularities of solutions

A new eXtended Finite Element Method based on two-dimensional edge elements is presented and applied to solve the time-harmonic Maxwell equations in domains with cracks. Error analysis is performed and shows the method to be convergent with an order of at least O(h(1/2-eta)). The implementation of the method is discussed and numerical tests illustrate its performance.

• 出版日期2011