Analysis of Constants in Error Estimates for the Finite Element Approximation of Regularized Nonlinear Geometric Evolution Equations
DOI10.1137/18M1197163zbMath1451.65198OpenAlexW2979626242WikidataQ127128208 ScholiaQ127128208MaRDI QIDQ5235481
Publication date: 11 October 2019
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/18m1197163
Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Quasilinear elliptic equations with mean curvature operator (35J93) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)
Related Items (1)
Cites Work
- Motion of level sets by mean curvature. I
- On the parametric finite element approximation of evolving hypersurfaces in \(\mathbb R^3\)
- Nonlinear evolution by mean curvature and isoperimetric inequalities
- Anisotropic mean curvature flow for two-dimensional surfaces in higher codimension: A numerical scheme
- Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
- The inverse mean curvature flow and the Riemannian Penrose inequality
- Elliptic partial differential equations of second order
- Approximation rates for regularized level set power mean curvature flow
- Rate of convergence of regularization procedures and finite element approximations for the total variation flow
- Convergence of a finite element method for non-parametric mean curvature flow
- Error analysis of finite element approximations of the inverse mean curvature flow arising from the general relativity
- Convergent difference schemes for nonlinear parabolic equations and mean curvature motion
- Level Set Method for Motion by Mean Curvature
- On convergence rates for solutions of approximate mean curvature equations
- Computation of geometric partial differential equations and mean curvature flow
- ENERGY EXTRACTION*
- User’s guide to viscosity solutions of second order partial differential equations
- An Observation Concerning Ritz-Galerkin Methods with Indefinite Bilinear Forms
- Spectrum for the allen-chan, chan-hillard, and phase-field equations for generic interfaces
- Finite Element Approximation of Level Set Motion by Powers of the Mean Curvature
- Regularity of the Level Set Flow
- A deterministic‐control‐based approach motion by curvature
- Error bounds for a difference scheme approximating viscosity solutions of mean curvature flow
This page was built for publication: Analysis of Constants in Error Estimates for the Finite Element Approximation of Regularized Nonlinear Geometric Evolution Equations
