3 papers
math.NA2021
Space-time hexahedral finite element methods for parabolic evolution problems
Ulrich Langer, Andreas Schafelner
We present locally stabilized, conforming space-time finite element methods for parabolic evolution equations on hexahedral decompositions of the space-time cylinder. Tensor-produc…
math.NA2021
Simultaneous space-time finite element methods for parabolic optimal control problems
Ulrich Langer, Andreas Schafelner
This work presents, analyzes and tests stabilized space-time finite element methods on fully unstructured simplicial space-time meshes for the numerical solution of space-time trac…
math.NA2020
Adaptive space-time finite element methods for non-autonomous parabolic problems with distributional sources
Ulrich Langer, Andreas Schafelner
We consider locally stabilized, conforming finite element schemes on completely unstructured simplicial space-time meshes for the numerical solution of parabolic initial-boundary v…