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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 …

We introduce a DPG method for convection-dominated diffusion problems. The choice of a
test norm is shown to be crucial to achieving robust behavior with respect to the diffusion …

A combination of ideas in least-squares finite element methods with those of hybridized
methods recently led to discontinuous Petrov--Galerkin (DPG) finite element methods. They …

This monograph is based on my personal lecture notes for the graduate course on
Mathematical Theory of Finite Elements (EM394H) that I have been teaching at ICES (now …

This paper presents a new hybridizable discontinuous Galerkin (HDG) method for linear
elasticity on general polyhedral meshes, based on a strong symmetric stress formulation …

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

We study the properties of a novel discontinuous Petrov Galerkin (DPG) method for acoustic
wave propagation. The method yields Hermitian positive definite matrices and has good pre …

The moving discontinuous Galerkin finite element method with interface condition
enforcement is applied to the case of viscous flows. This method uses a weak formulation …