Hermite-Discontinuous Galerkin Overset Grid Methods for the Scalar Wave Equation
نویسندگان
چکیده
منابع مشابه
Plane Wave Discontinuous Galerkin Methods
Standard low order Lagrangian finite element discretization of boundary value problems for the Helmholtz equation −∆u−ωu = f are afflicted with the so-called pollution phenomenon: though for sufficiently small hω an accurate approximation of u is possible, the Galerkin procedure fails to provide it. Attempts to remedy this have focused on incorporating extra information in the form of plane wav...
متن کاملOptimal Discontinuous Galerkin Methods for Wave Propagation
We have developed and analyzed a new class of discontinuous Galerkin methods (DG) which can be seen as a compromise between standard DG and the finite element (FE) method in the way that it is explicit like standard DG and energy conserving like FE. In the literature there are many methods that achieve some of the goals of explicit time marching, unstructured grid, energy conservation, and opti...
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 کاملPlane Wave Discontinuous Galerkin Methods for the 2D Helmholtz Equation: Analysis of the p-Version
Plane wave discontinuous Galerkin (PWDG) methods are a class of Trefftz-type methods for the spatial discretization of boundary value problems for the Helmholtz operator −∆− ω, ω > 0. They include the so-called ultra weak variational formulation from [O. Cessenat and B. Després, SIAM J. Numer. Anal., 35 (1998), pp. 255–299]. This paper is concerned with the a priori convergence analysis of PWDG...
متن کاملDiscontinuous Galerkin Methods for the Radiative Transport Equation
This notes presents some recent results regarding the approximation of the linear radiative transfer equation using discontinuous Galerkin methods. The locking effect occurring in the diffusion limit with the upwind numerical flux is investigated and a correction technique is proposed.
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: Communications on Applied Mathematics and Computation
سال: 2020
ISSN: 2096-6385,2661-8893
DOI: 10.1007/s42967-020-00075-5