Residual‐based a posteriori error estimates for nonconforming finite element approximation to parabolic interface problems
DOI10.1002/num.22994OpenAlexW4319834393MaRDI QIDQ6066566
Tanushree Ray, Rajen Kumar Sinha
Publication date: 13 December 2023
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/num.22994
Variational methods applied to PDEs (35A15) 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) Numerical interpolation (65D05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
Cites Work
- Unnamed Item
- A posteriori error analysis of two-step backward differentiation formula finite element approximation for parabolic interface problems
- Finite element methods and their convergence for elliptic and parabolic interface problems
- Adaptive finite element methods for elliptic equations with non-smooth coefficients
- Adaptive finite elements for a linear parabolic problem
- A posteriori error estimates for nonconforming finite element methods
- The finite element method for elliptic equations with discontinuous coefficients
- Residual-based a posteriori error estimate for interface problems: Nonconforming linear elements
- New interpolation error estimates anda posteriorierror analysis for linear parabolic interface problems
- Recovery-Based Error Estimators for Interface Problems: Mixed and Nonconforming Finite Elements
- Discontinuous Galerkin Finite Element Methods for Interface Problems: A Priori and A Posteriori Error Estimations
- Robusta posteriorierror estimates for finite element discretizations of the heat equation with discontinuous coefficients
- A posterioriError Estimates with Post-Processing for Nonconforming Finite Elements
- Data Oscillation and Convergence of Adaptive FEM
- On the Efficiency of Adaptive Finite Element Methods for Elliptic Problems with Discontinuous Coefficients
- An adaptive finite element algorithm with reliable and efficient error control for linear parabolic problems
- Error Estimators for Nonconforming Finite Element Approximations of the Stokes Problem
- Element-oriented and edge-oriented local error estimators for nonconforming finite element methods
- A posteriori error estimators for nonconforming finite element methods
- New development in freefem++
- A posteriorierror estimates for a nonconforming finite element discretization of the heat equation
- Robust A Posteriori Error Estimation for Nonconforming Finite Element Approximation
- A posteriori error estimators for elliptic equations with discontinuous coefficients
