Convergence of a fourth-order singular perturbation of then-dimensional radially symmetric Monge–Ampère equation

DOI10.1080/00036811.2013.842228zbMath1295.35237arXiv1212.5617OpenAlexW2005759547WikidataQ58242229 ScholiaQ58242229MaRDI QIDQ2875562

Xiaobing Feng, Michael Neilan

Publication date: 8 August 2014

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.5617

zbMATH Keywords

singular perturbationMonge-Ampère equationvanishing moment methodconvergence and rate of convergence

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) A priori estimates in context of PDEs (35B45) Perturbations in context of PDEs (35B20) Viscosity solutions to PDEs (35D40) Monge-Ampère equations (35J96)

Related Items (7)

A least-squares method for the solution of the non-smooth prescribed Jacobian equation ⋮ Isogeometric Method for the Elliptic Monge-Ampère Equation ⋮ Pseudo transient continuation and time marching methods for Monge-Ampère type equations ⋮ Taylor-Hood like finite elements for nearly incompressible strain gradient elasticity problems ⋮ A priori error estimates for finite element approximations of regularized level set flows in higher norms ⋮ A recovery-based linear \(C^0\) finite element method for a fourth-order singularly perturbed Monge-Ampère equation ⋮ Spline element method for Monge-Ampère equations

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