4 papers
Practical tensor calculus on embedded submanifolds of arbitrary codimension
Vladimir Yushutin
We present a fully extrinsic, parametrization-free variant of tensor calculus on embedded, possibly evolving, submanifolds with boundary in arbitrary dimension and codimension. The…
Continuous data assimilation for problems with limited regularity using non-interpolant observables
Vladimir Yushutin
Continuous data assimilation addresses time-dependent problems with unknown initial conditions by incorporating observations of the solution into a nudging term. For the prototypic…
Inf-Sup Stability of Parabolic TraceFEM
Lucas Bouck, Ricardo H. Nochetto, Mansur Shakipov +1
We develop a parabolic inf-sup theory for a modified TraceFEM semi-discretization in space of the heat equation posed on a stationary surface embedded in . We conside…
An adaptive stabilized trace finite element method for surface PDEs
Timo Heister, Maxim A. Olshanskii, Vladimir Yushutin
The paper introduces an adaptive version of the stabilized Trace Finite Element Method (TraceFEM) designed to solve low-regularity elliptic problems on level-set surfaces using a s…