Gudi, Thirupathi (2010) Some nonstandard error analysis of discontinuous Galerkin methods for elliptic problems. In: CALCOLO - A Quarterly on Numerical Analysis and Theory of Computation, 47 (4). pp. 239-261.
Some.pdf - Published Version
Restricted to Registered users only
Download (530Kb) | Request a copy
An a priori error analysis of discontinuous Galerkin methods for a general elliptic problem is derived under a mild elliptic regularity assumption on the solution. This is accomplished by using some techniques from a posteriori error analysis. The model problem is assumed to satisfy a GAyenrding type inequality. Optimal order L (2) norm a priori error estimates are derived for an adjoint consistent interior penalty method.
|Item Type:||Journal Article|
|Additional Information:||Copyright of this article belongs to Springer.|
|Keywords:||Finite element; Discontinuous Galerkin; Error estimate|
|Department/Centre:||Division of Physical & Mathematical Sciences > Mathematics|
|Date Deposited:||13 Dec 2010 10:35|
|Last Modified:||13 Dec 2010 10:35|
Actions (login required)