arXiv:2212.04134 Abstract | arXiv Analytics

arXiv:2212.04134 [math.NA]Abstract References Reviews Resources

Interpolation Operators for parabolic Problems

Published 2022-12-08Version 1

We introduce interpolation operators with approximation and stability properties suited for parabolic problems in primal and mixed formulations. We derive localized error estimates for tensor product meshes (occurring in classical time-marching schemes) as well as locally in space-time refined meshes.

Categories: math.NA, cs.NA

Subjects: 65D05, 65M12, 65M15, 65M60

Keywords: parabolic problems, interpolation operators, tensor product meshes, stability properties, space-time refined meshes

Related articles: Most relevant | Search more

arXiv:1903.06809 [math.NA] (Published 2019-03-15)

Energy-corrected FEM and explicit time-stepping for parabolic problems

Piotr Swierczynski, Barbara Wohlmuth

arXiv:2012.02759 [math.NA] (Published 2020-12-04)

Optimal local approximation spaces for parabolic problems

Julia Schleuß, Kathrin Smetana

arXiv:2102.05910 [math.NA] (Published 2021-02-11)

Higher-order generalized-$α$ methods for parabolic problems