We consider divergence-based high order discretizations of an L 2-based first order system
least squares formulation of a second order elliptic equation with Robin boundary …

We present a mixed finite element method with triangular and parallelogram meshes for the
Kirchhoff–Love plate bending model. Critical ingredient is the construction of low …

We present a discontinuous Petrov–Galerkin method with optimal test functions for the
Reissner–Mindlin plate bending model. Our method is based on a variational formulation …

The classical continuous mixed formulation of linear elasticity with pointwise symmetric
stresses allows for a conforming finite element discretization with piecewise polynomials of …

We consider the approximation properties of primal discontinuous Petrov-Galerkin (DPG)
method on quadrilateral meshes. We show how the previous convergence results as well as …

We study a fourth-order div problem and its approximation by the discontinuous Petrov–
Galerkin method with optimal test functions. We present two variants, based on first and …

We derive an ultraweak variational formulation of the quad-curl problem in two and three
dimensions. We present a discontinuous Petrov–Galerkin (DPG) method for its …

In this work, we propose the finite element method (FEM) coupled implicit/explicit time
difference schemes for the two-dimensional three-component (2D-3C) shallow shell surface …

Since its start more than a decade ago [2, 3], the discontinuous Petrov–Galerkin (DPG)
method with optimal test functions has itself established as a well-understood and useful …

Stress concentrations may occur in structural engineering eg in the vicinity of concentrated
loads, abrupt transitions between materials or sharp re-entrant corners. Whether the local …