On the finite-element approximation of ∞-harmonic functions

被引：4

作者：

Pryer, Tristan ^{[1
]}

机构：

[1] Univ Reading, Dept Math & Stat, Reading RG6 6AX, Berks, England

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2018年 / 148卷 / 04期

关键词：

Galerkin methods; infinity-Laplacian; viscosity solutions; VISCOSITY SOLUTIONS; P-LAPLACIAN; CONSTRUCTION; CONVERGENCE; UNIQUENESS; NORM;

D O I：

10.1017/S0308210517000294

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we show that conforming Galerkin approximations for p-harmonic functions tend to infinity-harmonic functions in the limit p -> 0 and h -> 0, where h denotes the Galerkin discretization parameter.

引用

页码：819 / 834

页数：16

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