# FEM inization in 3D and time,

**URL:** https://community.freefem.org/t/fem-inization-in-3d-and-time/2248
**Category:** General Discussion
**Created:** [January 25, 2023, 5:53pm UTC](https://community.freefem.org/t/fem-inization-in-3d-and-time/2248 "2023-01-25T17:53:12Z")
**Posts on this page:** 1
**Page:** 1

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### Author: ![marchywka](https://avatars.discourse-cdn.com/v4/letter/m/ee59a6/32.png) [@marchywka](https://community.freefem.org/u/marchywka)
#### Post date: [January 25, 2023, 5:53pm UTC](https://community.freefem.org/t/fem-inization-in-3d-and-time/2248/1 "2023-01-25T17:53:12Z")

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I was browsing the literature on weak formulations and came across this[1]  
which seems to doe FEM along time which has crossed my mind before.  
Any facility for doing 3 spatial plus time with FF? Is it practical? Thanks. `

[1]An Ultra-Weak Space-Time Variational Formulation for the Schr{\o}dinger Equation, {Hain}, Stefan and {Urban}, Karsten; arXiv e-prints. 2022

> **[An Ultra-Weak Space-Time Variational Formulation for the Schrödinger Equation](https://arxiv.org/abs/2212.14398)**
>
> We present a well-posed ultra-weak space-time variational formulation for the
> time-dependent version of the linear Schrödinger equation with an
> instationary Hamiltonian. We prove optimal inf-sup stability and introduce a
> space-time Petrov-Galerkin...

`[1]An Ultra-Weak Space-Time Variational Formulation for the Schr{\o}dinger Equation, {Hain}, Stefan and {Urban}, Karsten; arXiv e-prints. 2022

> **[An Ultra-Weak Space-Time Variational Formulation for the Schrödinger Equation](https://arxiv.org/abs/2212.14398)**
>
> We present a well-posed ultra-weak space-time variational formulation for the
> time-dependent version of the linear Schrödinger equation with an
> instationary Hamiltonian. We prove optimal inf-sup stability and introduce a
> space-time Petrov-Galerkin...