Semi-discrete and fully discrete HDG methods for Burgers' equation
DOI10.3934/cpaa.2021132OpenAlexW3184302762MaRDI QIDQ2699510
Xiaoping Xie, Gang Chen, Zimo Zhu
Publication date: 19 April 2023
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.00613
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) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)
Cites Work
- Unnamed Item
- A new mixed finite element method based on the Crank-Nicolson scheme for Burgers' equation.
- Analysis of a family of HDG methods for second order elliptic problems
- A robust weak Galerkin finite element method for linear elasticity with strong symmetric stresses
- A robust multilevel method for hybridizable discontinuous Galerkin method for the Helmholtz equation
- The local discontinuous Galerkin finite element method for Burger's equation
- The new numerical method for solving the system of two-dimensional Burgers equations
- Extended HDG methods for second order elliptic interface problems
- A new mixed finite element method for Burgers' equation
- An implicit high-order hybridizable discontinuous Galerkin method for linear convection-diffusion equations
- An implicit high-order hybridizable discontinuous Galerkin method for nonlinear convection-diffusion equations
- Continuous and discontinuous finite element methods for Burgers' equation
- A finite element approach to Burgers' equation
- A collocation solution for Burgers' equation using cubic B-spline finite elements
- Infinite-dimensional dynamical systems in mechanics and physics.
- A finite element approach for solution of Burgers' equation
- A weak Galerkin finite element method for Burgers' equation
- Numerical solutions of the Burgers' equation by the least-squares quadratic B-spline finite element method
- A characteristics-mixed finite element method for Burgers' equation.
- A Galerkin finite element approach to Burgers' equation
- Weak Galerkin finite element method for solving one-dimensional coupled Burgers' equations
- A new low order least squares nonconforming characteristics mixed finite element method for Burgers' equation
- A numerical solution of Burgers' equation by finite element method constructed on the method of discretization in time
- Analysis of HDG methods for Stokes flow
- Error estimates for forward Euler shock capturing finite element approximations of the one-dimensional Burgers' equation
- Finite-Element Approximation of the Nonstationary Navier–Stokes Problem. Part IV: Error Analysis for Second-Order Time Discretization
- Improvement of MacCormack's scheme for Burgers' equation. Using a finite element method
- Diagonally Implicit Runge–Kutta Methods for Stiff O.D.E.’s
- A finite element method for Burgers' equation in hydrodynamics
- p‐version least‐squares finite element formulation of Burgers' equation
- An HDG method for linear elasticity with strong symmetric stresses
- WO-GRID METHOD FOR BURGERS’ EQUATION BY A NEW MIXED FINITE ELEMENT SCHEME
- Operator splitting for numerical solution of the modified Burgers' equation using finite element method
- Numerical Conservation Properties of H(div)-Conforming Least-Squares Finite Element Methods for the Burgers Equation
- Convergence of Adaptive Discontinuous Galerkin Approximations of Second‐Order Elliptic Problems
- The Mathematical Theory of Finite Element Methods
This page was built for publication: Semi-discrete and fully discrete HDG methods for Burgers' equation