The mathematization of all sciences, the fading of traditional scientific boundaries, the
impact of computer technology, the growing importance of computer modelling and the …

Abstract Discontinuous Petrov–Galerkin (DPG) methods are made easily implementable
using “broken” test spaces, ie, spaces of functions with no continuity constraints across mesh …

A spacetime discontinuous Petrov--Galerkin (DPG) method for the linear time-dependent
Schrödinger equation is proposed. The spacetime approach is particularly attractive for …

The article reviews fundamentals of Discontinuous Petrov-Galerkin (DPG) Method with
Optimal Test Functions. The main idea admits three different interpretations: a Petrov …

The use of “ideal” optimal test functions in a Petrov–Galerkin scheme guarantees the
discrete stability of the variational problem. However, in practice, the computation of the …

Least-squares (LS) and discontinuous Petrov–Galerkin (DPG) finite element methods are an
emerging methodology in the computational partial differential equations with unconditional …

At the fully discrete setting, stability of the discontinuous Petrov–Galerkin (DPG) method with
optimal test functions requires local test spaces that ensure the existence of Fortin operators …

This paper analyzes lowest-order discontinuous Petrov--Galerkin (dPG) finite element
methods (FEM) for the Navier--Lamé equations with different norms and side restrictions …

We develop and analyze an ultraweak variational formulation for a variant of the Kirchhoff–
Love plate bending model. Based on this formulation, we introduce a discretization of the …

Minimum residual methods such as the least-squares finite element method (FEM) or the
discontinuous Petrov--Galerkin (DPG) method with optimal test functions usually exclude …