Virtual element approximation of eigenvalue problems

12/31/2020
by   Daniele Boffi, et al.
0

We discuss the approximation of eigenvalue problems associated with elliptic partial differential equations using the virtual element method. After recalling the abstract theory, we present a model problem, describing in detail the features of the scheme, and highligting the effects of the stabilizing parameters. We conlcude the discussion with a survey of several application examples.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
01/05/2020

Approximation of PDE eigenvalue problems involving parameter dependent matrices

We discuss the solution of eigenvalue problems associated with partial d...
research
08/04/2020

A general approach for constructing robust virtual element methods for fourth order problems

We present a class of nonconforming virtual element methods for general ...
research
04/07/2021

A review on arbitrarily regular conforming virtual element methods for elliptic partial differential equations

The Virtual Element Method is well suited to the formulation of arbitrar...
research
05/05/2021

Arbitrary-order intrinsic virtual element method for elliptic equations on surfaces

We develop a geometrically intrinsic formulation of the arbitrary-order ...
research
12/25/2021

On arbitrarily regular conforming virtual element methods for elliptic partial differential equations

The Virtual Element Method (VEM) is a very effective framework to design...
research
07/13/2022

On the matching of eigensolutions to parametric partial differential equations

In this paper a novel numerical approximation of parametric eigenvalue p...
research
10/05/2021

Deep Learning for the Approximation of a Shape Functional

Artificial Neuronal Networks are models widely used for many scientific ...

Please sign up or login with your details

Forgot password? Click here to reset