mesh elements with trivial topology. The new DDR complex is used to design a numerical scheme for the approximation of biharmonic problems, for which we provide detailed stability and convergence analyses. [3/3 of https://t.co/54aNODeRz8]
whose components are attached to mesh entities and 2) on discrete operators obtained mimicking integration by parts formulas. We provide an in-depth study of the algebraic properties of the local complex, showing that it is exact on [2/3 of https://t.co…
In this work, following the Discrete de Rham (DDR) paradigm, we develop an arbitrary-order discrete divdiv complex on general polyhedral meshes. The construction rests 1) on discrete spaces that are spanned by vectors of polynomials [1/3 of https://t.co…
Daniele A. Di Pietro, Marien-Lorenzo Hanot: A discrete three-dimensional divdiv complex on polyhedral meshes with application to a mixed formulation of the biharmonic problem https://t.co/MvTdXPkBL8 https://t.co/TKw8vKj2mK