A priori and a posteriori error estimates of the weak Galerkin finite element method for parabolic problems
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Publication:2234870
DOI10.1016/j.camwa.2021.08.002OpenAlexW3194309593MaRDI QIDQ2234870
Publication date: 19 October 2021
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2021.08.002
a posteriori error estimateelliptic projectionelliptic reconstructionweak Galerkin finite element methodpriori error estimate
Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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
- A posteriori error estimates for weak Galerkin finite element methods for second order elliptic problems
- Weak Galerkin methods for time-dependent Maxwell's equations
- A weak Galerkin finite element method for second-order elliptic problems
- Primal-dual weak Galerkin finite element methods for elliptic Cauchy problems
- Superconvergence of numerical gradient for weak Galerkin finite element methods on nonuniform Cartesian partitions in three dimensions
- A SCR-based error estimation and adaptive finite element method for the Allen-Cahn equation
- Weak Galerkin method with implicit \(\theta \)-schemes for second-order parabolic problems
- A posteriori error analysis for implicit-explicit \textit{hp}-discontinuous Galerkin timestepping methods for semilinear parabolic problems
- Superconvergence of the gradient approximation for weak Galerkin finite element methods on nonuniform rectangular partitions
- Weak Galerkin based a posteriori error estimates for second order elliptic interface problems on polygonal meshes
- An a posteriori error estimator for the weak Galerkin least-squares finite-element method
- A priori and a posterior error estimate of new weak Galerkin finite element methods for second order elliptic interface problems on polygonal meshes
- Polynomial preserving recovery for a class of weak Galerkin finite element methods
- A weak Galerkin finite element method with polynomial reduction
- An efficient numerical scheme for the biharmonic equation by weak Galerkin finite element methods on polygonal or polyhedral meshes
- Weak Galerkin finite element methods for Parabolic equations
- On L<sup>2</sup> Error Estimate for Weak Galerkin Finite Element Methods for Parabolic Problems
- A posteriori error estimate for a modified weak Galerkin method solving elliptic problems
- A Posteriori Error Estimation Based on Potential and Flux Reconstruction for the Heat Equation
- A Posteriori Error Control for Discontinuous Galerkin Methods for Parabolic Problems
- A weak Galerkin mixed finite element method for second order elliptic problems
- Adaptive Finite Element Methods for Parabolic Problems I: A Linear Model Problem
- Elliptic reconstruction and a posteriori error estimates for fully discrete linear parabolic problems
- Elliptic Reconstruction and a Posteriori Error Estimates for Parabolic Problems
- A weak Galerkin finite element scheme for the Cahn-Hilliard equation
- An adaptive finite element algorithm with reliable and efficient error control for linear parabolic problems
- Adaptive Finite Element Methods for Parabolic Problems II: Optimal Error Estimates in $L_\infty L_2 $ and $L_\infty L_\infty $
- A Numerical Analysis of the Weak Galerkin Method for the Helmholtz Equation with High Wave Number
- The Weak Galerkin Method for Elliptic Eigenvalue Problems
- A comparison of duality and energy a posteriori estimates for $\mathrm {L}_{\infty }(0,T;\mathrm {L}_2(\varOmega ))$ in parabolic problems
- $hp$-Version Space-Time Discontinuous Galerkin Methods for Parabolic Problems on Prismatic Meshes
- A Priori $L_2 $ Error Estimates for Galerkin Approximations to Parabolic Partial Differential Equations
- A convergent time–space adaptive dG(s) finite element method for parabolic problems motivated by equal error distribution
- Long-time L∞(L2) a posteriori error estimates for fully discrete parabolic problems
- A weak Galerkin finite element method for the Navier-Stokes equations
