The local projection $P^0-P^1$-discontinuous-Galerkin finite element method for scalar conservation laws
نویسندگان
چکیده
منابع مشابه
The 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 کاملTVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
This is the second paper in a series in which we construct and analyze a class of TVB (total variation bounded) discontinuous Galerkin finite element methods for solving conservation laws ut + Ed I(fi(u))xi = 0. In this paper we present a general framework of the methods, up to any order of formal accuracy, using scalar one-dimensional initial value and initial-boundary problems as models. In t...
متن کاملThe Runge-kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws Iv: the Multidimensional Case
In this paper we study the two-dimensional version of the RungeKutta Local Projection Discontinuous Galerkin (RKDG) methods, already defined and analyzed in the one-dimensional case. These schemes are defined on general triangulations. They can easily handle the boundary conditions, verify maximum principles, and are formally uniformly high-order accurate. Preliminary numerical results showing ...
متن کاملThe Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case Author(s):
In this paper we study the two-dimensional version of the RungeKutta Local Projection Discontinuous Galerkin (RKDG) methods, already defined and analyzed in the one-dimensional case. These schemes are defined on general triangulations. They can easily handle the boundary conditions, verify maximum principles, and are formally uniformly high-order accurate. Preliminary numerical results showing ...
متن کاملTVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws III: One- Dimensional Systems
This is the third paper in a series in which we construct and analyze a class of TVB (total variation bounded) discontinuous Galerkin finite element methods for solving conservation laws II, + zy= ,(f,(u)), = 0. In this paper we present the method in a system of equations, stressing the point of how to use the weak form in the component spaces, but to use the local projection limiting in the ch...
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: ESAIM: Mathematical Modelling and Numerical Analysis
سال: 1989
ISSN: 0764-583X,1290-3841
DOI: 10.1051/m2an/1989230405651