Numerical analysis of the unconditionally stable discontinuous Galerkin schemes for the nonstationary conduction-convection problem
DOI10.1016/j.camwa.2020.07.008zbMath1452.65233OpenAlexW3047339640MaRDI QIDQ2210591
Feifei Jing, Yuanyuan Hou, Wen-Jing Yan
Publication date: 7 November 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2020.07.008
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) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) 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 (3)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Primal discontinuous Galerkin methods for time-dependent coupled surface and subsurface flow
- A defect-correction method for unsteady conduction-convection problems. II: Time discretization
- A strongly conservative finite element method for the coupling of Stokes and Darcy flow
- TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
- The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
- A discontinuous \(hp\) finite element method for convection-diffusion problems
- Discontinuous Galerkin methods for a stationary Navier-Stokes problem with a nonlinear slip boundary condition of friction type
- Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. I
- Discontinuous Galerkin methods for the incompressible flow with nonlinear leak boundary conditions of friction type
- Optimal multigrid solutions of two-dimensional convection-conduction problems
- A least squares Galerkin-Petrov nonconforming mixed finite element method for the stationary conduction-convection problem
- Vorticity and Incompressible Flow
- Partitioned Time Stepping Method for Fully Evolutionary Stokes--Darcy Flow with Beavers--Joseph Interface Conditions
- Error analysis for finite element methods for steady natural convection problems
- The Runge-Kutta local projection $P^1$-discontinuous-Galerkin finite element method for scalar conservation laws
- The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
- An analysis of the finite element method for natural convection problems
- Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
- An optimizing reduced PLSMFE formulation for non-stationary conduction-convection problems
- TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
- An Elliptic Collocation-Finite Element Method with Interior Penalties
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- Local Discontinuous Galerkin Methods for the Stokes System
- Locally Conservative Coupling of Stokes and Darcy Flows
- A discontinuous Galerkin method with nonoverlapping domain decomposition for the Stokes and Navier-Stokes problems
- A Discontinuous Subgrid Eddy Viscosity Method for the Time-Dependent Navier--Stokes Equations
- Galerkin Finite Element Methods for Parabolic Problems
- A splitting method using discontinuous Galerkin for the transient incompressible Navier-Stokes equations
This page was built for publication: Numerical analysis of the unconditionally stable discontinuous Galerkin schemes for the nonstationary conduction-convection problem