1 edition of A priori error estimates for an hp-version of the discontinuous Galerkin method for hyperbolic conservation laws found in the catalog.
Published 1993 by Administrator in National Aeronautics and Space Administration, Langley Research Center
Distributed to depository libraries in microfiche.Shipping list no.: 93-1346-M.Microfiche. [Washington, D.C. : National Aeronautics and Space Administration, 1993] 1 microfiche.
|Statement||National Aeronautics and Space Administration, Langley Research Center|
|Publishers||National Aeronautics and Space Administration, Langley Research Center|
|The Physical Object|
|Pagination||xvi, 98 p. :|
|Number of Pages||49|
|2||NASA technical memorandum -- 108993.|
|3||NASA technical memorandum -- 108993.|
nodata File Size: 8MB.
Numerical results for a selection of one- and two-dimensional scalar and system conservation laws are presented.
1 We can prove every conclusion in this lemma along the same way. Besides, it is also observed that it is better to refine further around shocks rather than use sharper shock capturing terms, which usually yield stiffer nonlinear problems.
The a posteriori error estimates are tested on several linear and nonlinear problems to show their efficiency and accuracy under mesh refinement for smooth and discontinuous solutions. Complex spatial group patterns result from different animal communication mechanisms. TVB Runge-Kutta local projection discontinuous Galerkin finite element method for scalar conservation laws II: General framework.
In this paper we present an error estimate for the explicit Runge-Kutta discontinuous Galerkin method to solve a linear hyperbolic equation in one dimension with discontinuous but piecewise smooth initial data. The role of a proper extension and transport of embedded solutions to a common background is analyzed in detail. : TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws III: One dimensional systems.
: Discontinuous Galerkin Methods Theory, Computation and Applications. Computational results indicate that the theoretical order of convergence is sharp. : Finite element methods for linear hyperbolic problems. : A posteriori error analysis for numerical approximations of Friedrichs systems. In addition, a new refinement criterion has been proposed. 5 Cockburn B, Shu C W. 5 which will be proved later. Each term on the right-hand side can be easily estimated by the weighted Cauchy-Schwarz inequality and the inverse properties in Lemma 3.
: Stability analysis and a priori error estimates to the third order explicit Runge-Kutta discontinuous Galerkin method for scalar conservation laws. : Efficient implementation of essentially non-oscillatory shock capturing schemes.
The proposed criterion is based on the graph Laplacian used in the definition of the stabilization method.
An optimal-order error estimate for the discontinuous Galerkin method.
The oscillations which are caused by the inherent properties of the immersed boundary method cannot be avoided, while effective methods can be employed to suppress them, including refining the meshes and applying a proper discrete delta function.