We introduce and analyze a penalty-free formulation of the Shifted Boundary Method (SBM), inspired by the asymmetric version of the Nitsche method. We prove its stability and convergence for arbitrary order finite element interpolation spaces and we test its performance with a number of numerical experiments. Moreover, while the SBM was previously believed to be only asymptotically consistent (in the sense of Galerkin orthogonality), we prove here that it is indeed exactly consistent.

翻译：我们提出并分析了一种无惩罚形式的移位边界方法（SBM），其灵感来源于Nitsche方法的非对称形式。我们证明了该方法在任意阶有限元插值空间中的稳定性和收敛性，并通过一系列数值实验对其性能进行了测试。此外，尽管先前认为SBM仅具有渐近一致性（在伽辽金正交性意义下），但本文证明其实际上是精确一致的。