In this report we study several approaches of the discontinuous Galerkin finite element methods for elliptic problems. An important aspect in these formulations is the use of a lifting operator, for which we present an efficient numerical approximation technique. Numerical experiments for two different discontinuous Galerkin methods are presented for one dimensional problems and compared with exact results. In addition, the theoretical order of accuracy is verified numerically.
|Place of Publication||Enschede|
|Publisher||University of Twente, Department of Applied Mathematics|
|Number of pages||21|
|Publication status||Published - 2003|
|Publisher||Department of Applied Mathematics, University of Twente|
Janivita Joto Sudirham, J. J. S., Sudirham, J. J., van der Vegt, J. J. W., & van Damme, R. M. J. (2003). A study on discontinuous Galerkin finite element methods for elliptic problems. (Mathematical Communications; No. 1690). Enschede: University of Twente, Department of Applied Mathematics.