An adaptive staggered discontinuous Galerkin method for the steady state convection-diffusion equation
From MaRDI portal
Publication:1633510
DOI10.1007/s10915-018-0695-9zbMath1407.65286OpenAlexW2790884857MaRDI QIDQ1633510
Publication date: 20 December 2018
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-018-0695-9
convection-diffusion equationa posteriori error estimateadaptive refinementerror indicatorstaggered discontinuous Galerkin method
PDEs in connection with fluid mechanics (35Q35) Diffusion (76R50) 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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)
Related Items (11)
A uniformly robust staggered DG method for the unsteady Darcy-Forchheimer-Brinkman problem ⋮ Maximum-principle-preserving local discontinuous Galerkin methods for Allen-Cahn equations ⋮ A staggered cell-centered DG method for the biharmonic Steklov problem on polygonal meshes: a priori and a posteriori analysis ⋮ A new staggered DG method for the Brinkman problem robust in the Darcy and Stokes limits ⋮ High order asymptotic preserving discontinuous Galerkin methods for gray radiative transfer equations ⋮ Physics-informed neural networks with parameter asymptotic strategy for learning singularly perturbed convection-dominated problem ⋮ Finite Element Analysis in Fluid Mechanics ⋮ Online conservative generalized multiscale finite element method for highly heterogeneous flow models ⋮ A Discontinuous Galerkin Method by Patch Reconstruction for Convection-Diffusion Problems ⋮ Uniform high-order convergence of multiscale finite element computation on a graded recursion for singular perturbation ⋮ ANALYSIS OF A DG METHOD FOR SINGULARLY PERTURBED CONVECTION-DIFFUSION PROBLEMS
Cites Work
- Unnamed Item
- Unnamed Item
- The staggered DG method is the limit of a hybridizable DG method. II: The Stokes flow
- A-posteriori error analysis for a staggered discontinuous Galerkin discretization of the time-harmonic Maxwell's equations
- An HDG method for convection diffusion equation
- An adaptive SDG method for the Stokes system
- Discontinuous Galerkin time stepping with local projection stabilization for transient convection-diffusion-reaction problems
- Stabilization of local projection type applied to convection-diffusion problems with mixed boundary conditions
- Guaranteed and robust discontinuous Galerkin a posteriori error estimates for convection-diffusion-reaction problems
- An implicit high-order hybridizable discontinuous Galerkin method for linear convection-diffusion equations
- Two families of mixed finite elements for second order elliptic problems
- A posteriori error estimation and adaptive mesh-refinement techniques
- Theory and practice of finite elements.
- A staggered discontinuous Galerkin method for wave propagation in media with dielectrics and meta-materials
- Convergence and superconvergence of staggered discontinuous Galerkin methods for the three-dimensional Maxwell's equations on Cartesian grids
- A priori and computable a posteriori error estimates for an HDG method for the coercive Maxwell equations
- Staggered discontinuous Galerkin methods for the incompressible Navier-Stokes equations
- Optimality of a standard adaptive finite element method
- Numerical study of SUPG and LPS methods combined with higher order variational time discretization schemes applied to time-dependent linear convection-diffusion-reaction equations
- Robusta posteriorierror estimates for HDG method for convection–diffusion equations
- A staggered discontinuous Galerkin method for the convection–diffusion equation
- Adaptive discontinuous Galerkin methods for nonstationary convection-diffusion problems
- Optimal Discontinuous Galerkin Methods for the Acoustic Wave Equation in Higher Dimensions
- A Hybridizable Discontinuous Galerkin Method for Steady-State Convection-Diffusion-Reaction Problems
- An a posteriori error indicator for discontinuous Galerkin discretizations of H(curl)-elliptic partial differential equations
- Continuous interior penalty $hp$-finite element methods for advection and advection-diffusion equations
- Raviart–Thomas and Brezzi–Douglas–Marini finite‐element approximations of the shallow‐water equations
- A Posteriori Error Estimates for Lowest-Order Mixed Finite Element Discretizations of Convection-Diffusion-Reaction Equations
- Discontinuous Galerkin Methods for Advection-Diffusion-Reaction Problems
- The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
- A Posteriori Error Estimates for a Discontinuous Galerkin Approximation of Second-Order Elliptic Problems
- Data Oscillation and Convergence of Adaptive FEM
- Convergence of Adaptive Finite Element Methods
- A Convergent Adaptive Algorithm for Poisson’s Equation
- Two-Level Overlapping Schwarz Algorithms for a Staggered Discontinuous Galerkin Method
- An analysis of HDG methods for convection-dominated diffusion problems
- A Sub-Grid Structure Enhanced Discontinuous Galerkin Method for Multiscale Diffusion and Convection-Diffusion Problems
- A Staggered Discontinuous Galerkin Method for the Stokes System
- Optimal Discontinuous Galerkin Methods for Wave Propagation
- A Unified Analysis for Conforming and Nonconforming Stabilized Finite Element Methods Using Interior Penalty
- The Staggered DG Method is the Limit of a Hybridizable DG Method
This page was built for publication: An adaptive staggered discontinuous Galerkin method for the steady state convection-diffusion equation
