Some asymptotic error estimates for finite element approximation of minimal surfaces

DOI10.1051/m2an/1977110201811zbMath0356.35034OpenAlexW2586191343MaRDI QIDQ4129206

Rolf Rannacher

Publication date: 1977

Published in: RAIRO. Analyse numérique (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/193295

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Theoretical approximation in context of PDEs (35A35) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items

Pointwise accuracy of a finite element method for nonlinear variational inequalities, Finite element discretizations of nonlocal minimal graphs: Convergence, Some optimal error estimates of biharmonic problem using conforming finite element, Analysis of total variation flow and its finite element approximations, Convergence of finite element approximation to quasilinear initial boundary value problems, The discrete Plateau Problem: Algorithm and numerics

Cites Work

• Zur \(L^\infty\)-Konvergenz linearer finiter Elemente beim Dirichlet- Problem
• Über die punktweise Konvergenz finiter Elemente
• Lineare Spline-Funktionen und die Methoden von Ritz für elliptische Randwertprobleme
• Bounds for a class of linear functionals with applications to Hermite interpolation
• Error Estimates for a Finite Element Approximation of a Minimal Surface
• Optimal L ∞ Estimates for the Finite Element Method on Irregular Meshes
• On Pointwise Estimates for a Finite Element Solution of Nonlinear Boundary Value Problems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item