15 citations · 37 across the 19 of their papers we have counts for
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Towards coercive boundary element methods for the wave equation
Olaf Steinbach, Carolina Urzúa-Torres, Marco Zank
In this note, we discuss the ellipticity of the single layer boundary integral operator for the wave equation in one space dimension. This result not only generalizes the well-know…
A new approach to space-time boundary integral equations for the wave equation
Olaf Steinbach, Carolina Urzúa-Torres
We present a new approach for boundary integral equations for the wave equation with zero initial conditions. Unlike previous attempts, our mathematical formulation allows us to pr…
Numerical results for an unconditionally stable space-time finite element method for the wave equation
Richard Löscher, Olaf Steinbach, Marco Zank
In this work, we introduce a new space-time variational formulation of the second-order wave equation, where integration by parts is also applied with respect to the time variable,…
Robust discretization and solvers for elliptic optimal control problems with energy regularization
Ulrich Langer, Olaf Steinbach, Huidong Yang
We consider the finite element discretization and the iterative solution of singularly perturbed elliptic reaction-diffusion equations in three-dimensional computational domains. T…
A generalized inf-sup stable variational formulation for the wave equation
Olaf Steinbach, Marco Zank
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…