Optimal merging of 2 elements with n elements

In this paper, an improved superconvergence analysis is presented for both the Crouzeix-Raviart element and the Morley element. The main idea of the analysis is to employ a discrete Helmholtz decomposition of the difference between the canonical ...

For both the Poisson model problem and the Stokes problem in any dimension, this paper proves that the enriched Crouzeix---Raviart elements are actually identical to the first order Raviart---Thomas elements in the sense that they produce the same ...

We establish a mortar boundary element scheme for hypersingular boundary integral equations representing elliptic boundary value problems in three dimensions. We prove almost quasi-optimal convergence of the scheme in broken Sobolev norms of order $1/2$...