Abstract
AbstractWe propose a partially penalized P1/CR immersed finite element (IFE) method with midpoint values on edges as degrees of freedom for CR elements to solve planar elasticity interface problems. Optimal approximation errors in L2 norm and H1 semi‐norm are obtained for the P1/CR IFE spaces. Moreover, by adding some stabilization terms on the edges of interface elements, we derive an optimal error estimate for the P1/CR IFE method. Our method differs from the method with average values on edges as degrees of freedom for P1/CR elements in Qin et al.'s study, where no approximation theoretical result was presented. Numerical examples confirm our theoretical results.
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