Opening book details…
Can I read Coupling Local Discontinuous and Continuous Galerkin Methods for Flow Problems on EtoBox?
Coupling Local Discontinuous and Continuous Galerkin Methods for Flow Problems by Clint Dawson is a Environmental Science article available to read on EtoBox.
What is Coupling Local Discontinuous and Continuous Galerkin Methods for Flow Problems about?
In this paper, we discuss the local discontinuous Galerkin (LDG) method applied to elliptic flow problems and give details on its implementation, focusing specifically on the case of piecewise linear approximating functions. The LDG method is one a family of discontinuous Galerkin (DG) methods proposed for diffusion models. These DG methods allow for very general hp finite element meshes, and produce locally conservative fluxes which can be used in coupling flow with transport. The drawback to DG methods, when compared to their continuous counterparts, is the number of degrees of freedom required to compute the solution. This motivates a coupled approach, discussed herein, where the solution is allowed to be continuous or discontinuous on a node-by-node basis. This coupled approximation is locally conservative in regions where the numerical solution is discontinuous. Numerical results for fully discontinuous, continuous and coupled discontinuous/continuous solutions are given, where we compare solution accuracy, matrix condition numbers and mass balance errors for the various approaches.
Who reads Coupling Local Discontinuous and Continuous Galerkin Methods for Flow Problems?
It is typically read by researchers, students, and practitioners in Environmental Science.
- Author
- Clint Dawson
- Publisher
- Elsevier Science; Elsevier ; Elsevier Ltd.; Elsevier BV (ISSN 0309-1708)
- Published
- 2005
- Language
- EN
- Field
- Environmental Science (Physical Sciences)