Name
Abstract | ||
|---|---|---|
Three different high-order finite element methods are used to solve the advection problem-two implementations of a discontinuous Galerkin and a spectral element (high-order continuous Galerkin) method. The three methods are tested using a 2D Gaussian hill as a test function, and the relative L"2 errors are compared. Using an explicit Runge-Kutta time stepping scheme, all three methods can be parallelized using a straightforward domain decomposition and are shown to be easily and efficiently scaled across multiple-processor distributed memory machines. The effect of a monotonic limiter on a DG scheme is demonstrated for a non-smooth solution. Additionally, the necessary geometry for implementing these methods on the surface of a sphere is discussed. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1016/j.cageo.2006.12.004 | Computers & Geosciences |
Keywords | Field | DocType |
atmospheric modeling,monotonic limiter,high-order galerkin method,discontinuous galerkin,scalable global atmospheric model,advection problem-two implementation,transport equation,different high-order finite element,explicit runge-kutta time,gaussian hill,memory machine,spectral element methods,discontinuous galerkin methods,cubed sphere,high-order methods,spectral element,dg scheme,high-order continuous galerkin,domain decomposition,finite element method,galerkin method,runge kutta,spectral element method,discontinuous galerkin method | Discontinuous Galerkin method,Data mining,Monotonic function,Applied mathematics,Mathematical optimization,Computer science,Test functions for optimization,Galerkin method,Distributed memory,Finite element method,Gaussian,Domain decomposition methods | Journal |
Volume | Issue | ISSN |
33 | 8 | Computers and Geosciences |
Citations | PageRank | References |
6 | 0.73 | 5 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Michael N. Levy | 1 | 29 | 1.79 |
| Ramachandran D. Nair | 2 | 82 | 7.77 |
| Henry M. Tufo | 3 | 113 | 13.95 |