The Hodge Laplacian on Axisymmetric Domains

11/20/2019
by   Minah Oh, et al.
0

We study the mixed formulation of the abstract Hodge Laplacian on axisymmetric domains with general data through Fourer-finite-element-methods in weighted functions spaces. Closed Hilbert complexes and commuting projectors are used through a family of finite element spaces recently introduced for general axisymmetric problems. In order to get stability results and error estimates for the discrete mixed formulation, we construct commuting projectors that can be applied to functions with low regularity.

READ FULL TEXT
POST COMMENT

Comments

There are no comments yet.

Authors

page 1

page 2

page 3

page 4

01/09/2021

Analysis of an abstract mixed formulation for viscoelastic problems

This study provides an abstract framework to analyze mixed formulations ...
06/01/2021

On the Stability of Mixed Finite-Element Formulations for High-Temperature Superconductors

In this work, we present and analyze the numerical stability of two coup...
11/21/2019

Multigrid in H(div) on Axisymmetric Domains

In this paper, we will construct and analyze a multigrid algorithm that ...
08/02/2020

Conforming Discrete Gradgrad-Complexes in Three Dimensions

In this paper, the first family of conforming discrete three dimensional...
09/28/2020

A hybrid H1xH(curl) finite element formulation for a planar relaxed micromorphic continuum

One approach for the simulation of metamaterials is to extend an associa...
01/03/2021

A p-adaptive, implicit-explicit mixed finite element method for reaction-diffusion problems

A new class of implicit-explicit (IMEX) methods combined with a p-adapti...
07/30/2021

On the finite element approximation of a semicoercive Stokes variational inequality arising in glaciology

Stokes variational inequalities arise in the formulation of glaciologica...
This week in AI

Get the week's most popular data science and artificial intelligence research sent straight to your inbox every Saturday.