3 papers
math.NA2025
Do locking-free finite element schemes lock for holey Reissner-Mindlin plates with mixed boundary conditions?
Mark Ainsworth, Charles Parker
We revisit finite element discretizations of the Reissner-Mindlin plate in the case of non-simply connected (holey) domains with mixed boundary conditions. Guided by the de Rham co…
math.NA2023
Computing -conforming finite element approximations without having to implement -elements
Mark Ainsworth, Charles Parker
We develop a method to compute the -conforming finite element approximation to planar fourth order elliptic problems without having to implement elements. The algorithm…
math.NA2023
Uniform Preconditioners for High Order Finite Element Approximations of Planar Linear Elasticity
Mark Ainsworth, Charles Parker
A new preconditioner is developed for high order finite element approximation of linear elastic problems on triangular meshes in two dimensions. The new preconditioner results in a…