We propose and analyse new space-time Galerkin-Bubnov-type finite element formulations
of parabolic and hyperbolic second-order partial differential equations in finite time intervals. …

We consider a space–time variational formulation Space–time variational formulation of the
wave equation Wave equation by including integration by parts also in the time variable. A …

In this paper, we consider a variational formulation for the Dirichlet problem of the wave
equation with zero boundary and initial conditions, where we use integration by parts in space …

For the second–order wave equation, we compare the Newmark Galerkin method with a
stabilised space–time finite element method for tensor–product space–time discretisations with …

We present quadrature schemes to calculate matrices where the so-called modified Hilbert
transformation is involved. These matrices occur as temporal parts of Galerkin finite element …

We consider a space-time variational formulation of parabolic initial-boundary value problems
in anisotropic Sobolev spaces in combination with a Hilbert-type transformation. This …

We present different possibilities of realizing a modified Hilbert type transformation as it is
used for Galerkin–Bubnov discretizations of space-time variational formulations for parabolic …

We consider a space-time variational formulation of the second-order wave equation, where
integration by parts is also applied with respect to the time variable. Conforming tensor-…

For simplicity, we only consider homogeneous boundary and initial conditions, but inhomogeneous
data or other types of boundary conditions can be handled as well. To compute an …

We introduce a space-time finite element method for the linear time-dependent Schr\"odinger
equation with Dirichlet conditions in a bounded Lipschitz domain. The proposed …