Asymptotically exact a posteriori LDG error estimates for one-dimensional transient convection-diffusion problems
From MaRDI portal
Publication:505777
DOI10.1016/j.amc.2013.10.026zbMath1354.65186OpenAlexW2109637694MaRDI QIDQ505777
Publication date: 26 January 2017
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2013.10.026
projectionssuperconvergencea posteriori error estimationlocal discontinuous Galerkin methodRadau pointstransient convection-diffusion problems
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)
Related Items (28)
A superconvergent local discontinuous Galerkin method for the second-order wave equation on Cartesian grids ⋮ Superconvergence and a posteriori error estimates for the LDG method for convection-diffusion problems in one space dimension ⋮ Asymptotically exact a posteriori local discontinuous Galerkin error estimates for the one-dimensional second-order wave equation ⋮ A posteriori error analysis of the discontinuous Galerkin method for two-dimensional linear hyperbolic conservation laws on Cartesian grids ⋮ Superconvergence and \textit{a posteriori} error estimates of the DG method for scalar hyperbolic problems on Cartesian grids ⋮ A posteriori error estimates and adaptivity for the discontinuous Galerkin solutions of nonlinear second-order initial-value problems ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ An adaptive local discontinuous Galerkin method for nonlinear two-point boundary-value problems ⋮ A Posteriori Error Estimates for a Local Discontinuous Galerkin Approximation of Semilinear Second-Order Elliptic Problems on Cartesian Grids ⋮ The local discontinuous Galerkin method for the fourth-order Euler-Bernoulli partial differential equation in one space dimension. II: A posteriori error estimation ⋮ Optimal error estimates and superconvergence of an ultra weak discontinuous Galerkin method for fourth-order boundary-value problems ⋮ The discontinuous Galerkin method for general nonlinear third-order ordinary differential equations ⋮ A posteriori local discontinuous Galerkin error estimates for the one-dimensional sine-Gordon equation ⋮ Superconvergence of the local discontinuous Galerkin method for the sine-Gordon equation in one space dimension ⋮ Superconvergence of the discontinuous Galerkin method for nonlinear second-order initial-value problems for ordinary differential equations ⋮ A superconvergent local discontinuous Galerkin method for nonlinear two-point boundary-value problems ⋮ Superconvergence of the semi-discrete local discontinuous Galerkin method for nonlinear KdV-type problems ⋮ Optimal energy-conserving local discontinuous Galerkin method for the one-dimensional sine-Gordon equation ⋮ Asymptotically exact posteriori error estimates for the local discontinuous Galerkin method applied to nonlinear convection-diffusion problems ⋮ Superconvergence of the local discontinuous Galerkin method for the sine-Gordon equation on Cartesian grids ⋮ A posteriori local discontinuous Galerkin error estimation for two-dimensional convection-diffusion problems ⋮ A Superconvergent Local Discontinuous Galerkin Method for Nonlinear Fourth-Order Boundary-Value Problems ⋮ A posteriori error analysis of the local discontinuous Galerkin method for the sine-Gordon equation in one space dimension
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Guaranteed a posteriori error estimator for mixed finite element methods of elliptic problems
- Error analysis of a modified discontinuous Galerkin recovery scheme for diffusion problems
- A local discontinuous Galerkin method for the second-order wave equation
- Superconvergence of discontinuous finite element solutions for transient convection-diffusion problems
- The discontinuous Galerkin method for two-dimensional hyperbolic problems. II: A posteriori error estimation
- Superconvergence of discontinuous Galerkin methods for convection-diffusion problems
- A uniformly convergent continuous-discontinuous Galerkin method for singularly perturbed problems of convection-diffusion type
- Discontinuous Galerkin error estimation for hyperbolic problems on unstructured triangular meshes
- A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
- A discontinuous Galerkin method for higher-order ordinary differential equations
- Superconvergence of rectangular finite element with interpolated coefficients for semilinear elliptic problem
- Asymptotically exact a posteriori error estimates for a one-dimensional linear hyperbolic problem
- TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
- A discontinuous \(hp\) finite element method for convection-diffusion problems
- Parallel, adaptive finite element methods for conservation laws
- A posteriori error estimation and adaptive mesh-refinement techniques
- A posteriori error estimation for discontinuous Galerkin solutions of hyperbolic problems
- \(hp\)-version discontinuous Galerkin methods for hyperbolic conservation laws
- A superconvergence result for discontinuous Galerkin methods applied to elliptic problems.
- A posteriori error estimator for finite volume methods
- A posteriori error estimates, stopping criteria, and adaptivity for two-phase flows
- A posteriori error estimates for a discontinuous Galerkin method applied to elliptic problems
- A posteriori discontinuous finite element error estimation for two-dimensional hyperbolic problems.
- Superconvergence in Galerkin finite element methods
- A parallel \(hp\)-adaptive discontinuous Galerkin method for hyperbolic conservation laws
- Parallel adaptive \(hp\)-refinement techniques for conservation laws
- A superconvergent local discontinuous Galerkin method for elliptic problems
- Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. I
- Error analysis of a discontinuous Galerkin method for systems of higher-order differential equations
- Superconvergence of discontinuous Galerkin solutions for a nonlinear scalar hyperbolic problem
- The discontinuous Galerkin method for two-dimensional hyperbolic problems. I: Superconvergence error analysis
- A posteriori local discontinuous Galerkin error estimation for two-dimensional convection-diffusion problems
- An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems
- Superconvergence of the Local Discontinuous Galerkin Method for Elliptic Problems on Cartesian Grids
- Optimal a priori error estimates for the $hp$-version of the local discontinuous Galerkin method for convection--diffusion problems
- Superconvergence of Discontinuous Galerkin and Local Discontinuous Galerkin Schemes for Linear Hyperbolic and Convection-Diffusion Equations in One Space Dimension
- Superconvergence of the numerical traces of discontinuous Galerkin and Hybridized methods for convection-diffusion problems in one space dimension
- ENERGY NORM A POSTERIORI ERROR ESTIMATION OF hp-ADAPTIVE DISCONTINUOUS GALERKIN METHODS FOR ELLIPTIC PROBLEMS
- Error Estimates and Adaptive Time-Step Control for a Class of One-Step Methods for Stiff Ordinary Differential Equations
- TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
- Discontinuous Galerkin Methods for Ordinary Differential Equations
- An Elliptic Collocation-Finite Element Method with Interior Penalties
- The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
- Adaptive Discontinuous Galerkin Finite Element Methods for Nonlinear Hyperbolic Conservation Laws
- Time Discretization of Parabolic Problems by the HP-Version of the Discontinuous Galerkin Finite Element Method
- hp‐version discontinuous Galerkin methods for hyperbolic conservation laws: A parallel adaptive strategy
- Error Estimates for Finite Element Methods for Scalar Conservation Laws
- Adaptivity and Error Estimation for Discontinuous Galerkin Methods
- Superconvergence of the local discontinuous galerkin method applied to the one‐dimensional second‐order wave equation
- The generalized finite element method
This page was built for publication: Asymptotically exact a posteriori LDG error estimates for one-dimensional transient convection-diffusion problems
