A Posteriori Error Estimates for the Allen--Cahn Problem
DOI10.1137/19M1277540zbMath1453.65312arXiv1907.12264MaRDI QIDQ4970512
Konstantinos Chrysafinos, Dimitra Plaka, Emmanuil H. Georgoulis
Publication date: 14 October 2020
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.12264
a posteriori error estimatesAllen-Cahn equationphase fieldconditional estimatesdiscontinuous time-stepping scheme
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
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Cites Work
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- Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows
- A posteriori error analysis for time-dependent Ginzburg-Landau type equations
- A posteriori error analysis for higher order dissipative methods for evolution problems
- A posteriori error estimates and an adaptive finite element method for the Allen-Cahn equation and the mean curvature flow
- Numerical Approximation of Partial Differential Equations
- On a posteriori error control for the Allen-Cahn problem
- Adaptive discontinuous Galerkin methods for nonstationary convection-diffusion problems
- Robust A Priori and A Posteriori Error Analysis for the Approximation of Allen–Cahn and Ginzburg–Landau Equations Past Topological Changes
- A Posteriori Error Control for Discontinuous Galerkin Methods for Parabolic Problems
- Quasi-optimal and robust a posteriori error estimates in $L^{\infty}(L^{2})$ for the approximation of Allen-Cahn equations past singularities
- The phase field method for geometric moving interfaces and their numerical approximations
- Elliptic reconstruction and a posteriori error estimates for fully discrete linear parabolic problems
- Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
- Spectrum for the allen-chan, chan-hillard, and phase-field equations for generic interfaces
- Pointwise a Posteriori Error Estimates for Elliptic Problems on Highly Graded Meshes
- Elliptic Reconstruction and a Posteriori Error Estimates for Parabolic Problems
- A posteriori error estimates for variable time-step discretizations of nonlinear evolution equations
- Geometrical Evolution of Developed Interfaces
- Pointwise a Posteriori Error Control for Discontinuous Galerkin Methods for Elliptic Problems
- Maximum Norm Error Estimators for Three-Dimensional Elliptic Problems
- Stability analysis and best approximation error estimates of discontinuous time-stepping schemes for the Allen–Cahn equation
- A posteriorierror control for the Allen–Cahn problem: circumventing Gronwall's inequality
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