Nodal discontinuous Galerkin methods on graphics processors
نویسندگان
چکیده
منابع مشابه
Nodal discontinuous Galerkin methods on graphics processors
Discontinuous Galerkin (DG) methods for the numerical solution of partial differential equations have enjoyed considerable success because they are both flexible and robust: They allow arbitrary unstructured geometries and easy control of accuracy without compromising simulation stability. Lately, another property of DG has been growing in importance: The majority of a DG operator is applied in...
متن کاملPolymorphic nodal elements and their application in discontinuous Galerkin methods
In this work we discuss two different but related aspects of the development of efficient discontinuous Galerkin methods on hybrid element grids for the computational modeling of gas dynamics in complex geometries or with adapted grids. In the first part, a recursive construction of different nodal sets for hp finite elements is presented. The different nodal elements are evaluated by computing...
متن کاملOn Discontinuous Galerkin Multiscale Methods
In this thesis a new multiscale method, the discontinuous Galerkin multiscale method, is proposed. The method uses localized fine scale computations to correct a global coarse scale equation and thereby takes the fine scale features into account. We show a priori error bounds for convection dominated convection-diffusion-reaction problems with variable coefficients. We present an posteriori err...
متن کاملDiscontinuous Galerkin methods
This paper is a short essay on discontinuous Galerkin methods intended for a very wide audience.We present the discontinuous Galerkin methods and describe and discuss their main features. Since the methods use completely discontinuous approximations, they produce mass matrices that are block-diagonal. This renders the methods highly parallelizable when applied to hyperbolic problems. Another co...
متن کاملNodal discontinuous Galerkin methods for fractional diffusion equations on 2D domain with triangular meshes
This paper, as the sequel to previous work, develops numerical schemes for fractional diffusion equations on a two-dimensional finite domain with triangular meshes. We adopt the nodal discontinuous Galerkin methods for the full spatial discretization by the use of high-order nodal basis, employing multivariate Lagrange polynomials defined on the triangles. Stability analysis and error estimates...
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: Journal of Computational Physics
سال: 2009
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2009.06.041