Interior Penalty Discontinuous Galerkin FEM for the $p(x)$-Laplacian

DOI10.1137/110820324zbMath1264.65094arXiv1009.2063OpenAlexW3105542547MaRDI QIDQ4903767

Ariel L. Lombardi, Leandro M. Del Pezzo, Sandra R. Martinez

Publication date: 24 January 2013

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.2063

zbMATH Keywords

numerical experimentsminimizationvariable exponent spaces\(p(x)\)-Laplacianfinite element method (FEM)``interior penalty discontinuous Galerkin method

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (9)

An equilibrated a posteriori error estimator for an interior penalty discontinuous Galerkin approximation of the \(p\)-Laplace problem ⋮ Quasi-Newton minimization for the \(p(x)\)-Laplacian problem ⋮ Numerical analysis of nonlinear parabolic problems with variable exponent and L^1 data ⋮ Effective numerical computation of p ( x )–Laplace equations in 2D ⋮ Existence, multiplicity and numerical examples for Schrödinger systems with nonstandard \(p(x)\)-growth conditions ⋮ \(H^2\) regularity for the \(p(x)\)-Laplacian in two-dimensional convex domains ⋮ Coiflet solution of strongly nonlinear \(p\)-Laplacian equations ⋮ Finite Element Approximation of the $p(\cdot)$-Laplacian ⋮ Minimization techniques for p(x)-Laplacian problem using WEB-Spline based mesh-free method

This page was built for publication: Interior Penalty Discontinuous Galerkin FEM for the $p(x)$-Laplacian