The local discontinuous Galerkin finite element method for Burger’s equation
نویسندگان
چکیده
منابع مشابه
The local discontinuous Galerkin finite element method for Burger's equation
In this paper, we study the local discontinuous Galerkin (LDG) finite element method for solving a nonlinear Burger’s equation with Dirichlet boundary conditions. Based on the Hopf–Cole transformation, we transform the original problem into a linear heat equation with Neumann boundary conditions. The heat equation is then solved by the LDG finite element method with special chosen numerical flu...
متن کاملA local discontinuous Galerkin method for the Burgers-Poisson equation
In this work, we design, analyze and test a local discontinuous Galerkin method for solving the Burgers–Poisson equation. This model, proposed by Whitham [Linear and Nonlinear Waves, John Wiley & Sons, New York, 1974] as a simplified model for shallow water waves, admits conservation of both momentum and energy as two invariants. The proposed numerical method is high order accurate and preserve...
متن کاملDiscontinuous Galerkin Finite Element Method for the Wave Equation
The symmetric interior penalty discontinuous Galerkin finite element method is presented for the numerical discretization of the second-order wave equation. The resulting stiffness matrix is symmetric positive definite and the mass matrix is essentially diagonal; hence, the method is inherently parallel and leads to fully explicit time integration when coupled with an explicit timestepping sche...
متن کاملMixed Discontinuous Galerkin Finite Element Method for the Biharmonic Equation
In this paper, we first split the biharmonic equation !2u = f with nonhomogeneous essential boundary conditions into a system of two second order equations by introducing an auxiliary variable v = !u and then apply an hp-mixed discontinuous Galerkin method to the resulting system. The unknown approximation vh of v can easily be eliminated to reduce the discrete problem to a Schur complement sys...
متن کاملNumerical Simulation for Porous Medium Equation by Local Discontinuous Galerkin Finite Element Method
In this paper we will consider the simulation of the local discontinuous Galerkin (LDG) finite element method for the porous medium equation (PME), where we present an additional nonnegativity preserving limiter to satisfy the physical nature of the PME. We also prove for the discontinuous P0 finite element that the average in each cell of the LDG solution for the PME maintains nonnegativity if...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematical and Computer Modelling
سال: 2011
ISSN: 0895-7177
DOI: 10.1016/j.mcm.2011.07.016