Stationary Discrete Shock Profiles for Scalar Conservation Laws with a Discontinuous Galerkin Method
نویسندگان
چکیده
منابع مشابه
A hybridized discontinuous Petrov–Galerkin scheme for scalar conservation laws
We present a hybridized discontinuous Petrov–Galerkin (HDPG) method for the numerical solution of steady and time-dependent scalar conservation laws. The method combines a hybridization technique with a local Petrov–Galerkin approach in which the test functions are computed to maximize the inf-sup condition. Since the Petrov–Galerkin approach does not guarantee a conservative solution, we propo...
متن کاملMoving Mesh Discontinuous Galerkin Method for Hyperbolic Conservation Laws
In this paper, a moving mesh discontinuous Galerkin (DG) method is developed to solve the nonlinear conservation laws. In the mesh adaptation part, two issues have received much attention. One is about the construction of the monitor function which is used to guide the mesh redistribution. In this study, a heuristic posteriori error estimator is used in constructing the monitor function. The se...
متن کاملThe Runge-Kutta local projection P1-discontinuous-Galerkin finite element method for scalar conservation laws
In this work we introducé and analyze the model scheme of a new class of methods devised for numencally solving hyperbohc conservation laws The construction of the scheme is based on a Discontinuous Galerkin fïnite element space-discretization, combined suitably with a high-order accurate total variation diminishing Runge-Kutta time-discretization, and a local projection which enforces the glob...
متن کاملConvergence of the Space-Time Expansion Discontinuous Galerkin Method for Scalar Conservation Laws
In this paper we analyse a class of fully discrete Space-Time Expansion Discontinuous-Galerkin methods for scalar conservation laws. This method has been introduced in [11, 17, 18] for a speci c expansion relying on the Cauchy-Kovaleskaya technique. We introduce a general concept of admissible expansions which in particular allows us to prove an error estimate for smooth solutions. The result a...
متن کاملThe Runge–Kutta Discontinuous Galerkin Method for Conservation Laws V
This is the fifth paper in a series in which we construct and study the so-called Runge–Kutta discontinuous Galerkin method for numerically solving hyperbolic conservation laws. In this paper, we extend the method to multidimensional nonlinear systems of conservation laws. The algorithms are described and discussed, including algorithm formulation and practical implementation issues such as the...
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: SIAM Journal on Numerical Analysis
سال: 2015
ISSN: 0036-1429,1095-7170
DOI: 10.1137/14097906x