Regularity for quasilinear vectorial elliptic systems through an iterative scheme with numerical applications

04/19/2021
by   Lukas Koch, et al.
0

We consider an iterative procedure to solve quasilinear elliptic systems with p-growth. The scheme was first considered by Koshelev in the quadratic case p=2. We present numerical applications as well as applications to higher regularity properties.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
08/18/2021

A Carleman-based numerical method for quasilinear elliptic equations with over-determined boundary data and applications

We propose a new iterative scheme to compute the numerical solution to a...
research
06/12/2023

Analytic and Gevrey class regularity for parametric elliptic eigenvalue problems

We investigate a class of parametric elliptic eigenvalue problems with h...
research
02/06/2018

The nonparametric LAN expansion for discretely observed diffusions

Consider a scalar reflected diffusion (X_t)_t≥ 0, where the unknown drif...
research
11/24/2019

Analysis of hybridized discontinuous Galerkin methods without elliptic regularity assumptions

In this paper we present new stability and optimal error analyses of hyb...
research
11/27/2020

HMG – Homogeneous multigrid for HDG

We introduce a homogeneous multigrid method in the sense that it uses th...
research
07/31/2019

An efficient algorithm for solving elliptic problems on percolation clusters

We present an efficient algorithm to solve elliptic Dirichlet problems d...
research
04/10/2020

A Simple Method for Computing Some Pseudo-Elliptic Integrals in Terms of Elementary Functions

We introduce a method for computing some pseudo-elliptic integrals in te...

Please sign up or login with your details

Forgot password? Click here to reset