Discrete Hessian complexes in three dimensions

12/20/2020
by   Long Chen, et al.
0

One conforming and one non-conforming virtual element Hessian complexes on tetrahedral grids are constructed based on decompositions of polynomial tensor space. They are applied to discretize the linearized time-independent Einstein-Bianchi system.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
04/17/2022

New conforming finite element divdiv complexes in three dimensions

In this paper, the first family of conforming finite element divdiv comp...
research
02/05/2023

Discrete tensor product BGG sequences: splines and finite elements

In this paper, we provide a systematic discretization of the Bern­stein-...
research
06/16/2020

GO Hessian for Expectation-Based Objectives

An unbiased low-variance gradient estimator, termed GO gradient, was pro...
research
04/18/2023

Hessian and increasing-Hessian orderings of multivariate skew-elliptical random vectors

In this work, we establish some stochastic comparison results for multiv...
research
05/12/2023

Virtual Elements on polyhedra with a curved face

We revisit classical Virtual Element approximations on polygonal and pol...
research
07/29/2020

A new framework for the computation of Hessians

We investigate the computation of Hessian matrices via Automatic Differe...
research
08/24/2020

The Hessian Penalty: A Weak Prior for Unsupervised Disentanglement

Existing disentanglement methods for deep generative models rely on hand...

Please sign up or login with your details

Forgot password? Click here to reset