7 citations · 16 across the 5 of their papers we have counts for
6 papers
Unified Analysis for Variational Time Discretizations of Higher Order and Higher Regularity Applied to Non-stiff ODEs
Simon Becher, Gunar Matthies
We present a unified analysis for a family of variational time discretization methods, including discontinuous Galerkin methods and continuous Galerkin-Petrov methods, applied to n…
Variational Time Discretizations of Higher Order and Higher Regularity
Simon Becher, Gunar Matthies
We consider a family of variational time discretizations that are generalizations of discontinuous Galerkin (dG) and continuous Galerkin-Petrov (cGP) methods. The family is charact…
Galerkin-collocation approximation in time for the wave equation and its post-processing
Mathias Anselmann, Markus Bause, Simon Becher +1
We introduce and analyze a class of Galerkin-collocation discretization schemes in time for the wave equation. Its conceptual basis is the establishment of a direct connection betw…
Uniform error estimates for general semilinear turning point problems on layer-adapted meshes
Simon Becher
We consider a singularly perturbed semilinear boundary value problem of a general form that allows various types of turning points. A solution decomposition is derived that separat…
Analysis of Galerkin and streamline-diffusion FEMs on piecewise equidistant meshes for turning point problems exhibiting an interior layer
Simon Becher
We consider singularly perturbed boundary value problems with a simple interior turning point whose solutions exhibit an interior layer. These problems are discretised using higher…
FEM-analysis on graded meshes for turning point problems exhibiting an interior layer
Simon Becher
We consider singularly perturbed boundary value problems with a simple interior turning point whose solutions exhibit an interior layer. These problems are discretised using higher…