Paul Houston Paul.Houston@nottingham.ac.uk
Discontinuous Galerkin methods for problems with Dirac delta source
Houston, Paul; Wihler, Thomas P.
Thomas P. Wihler firstname.lastname@example.org
In this article we study discontinuous Galerkin finite element discretizations of linear second-order elliptic partial differential equations with Dirac delta right-hand side. In particular, assuming that the underlying computational mesh is quasi-uniform, we derive an a priori bound on the error measured in terms of the L^2-norm. Additionally, we develop residual-based a posteriori error estimators that can be used within an adaptive mesh refinement framework. Numerical examples for the symmetric interior penalty scheme are presented which confirm the theoretical results.
|Journal Article Type||Article|
|Journal||ESAIM: Mathematical Modelling and Numerical Analysis|
|Peer Reviewed||Not Peer Reviewed|
|APA6 Citation||Houston, P., & Wihler, T. P. Discontinuous Galerkin methods for problems with Dirac delta source. Manuscript submitted for publication|
|Copyright Statement||Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf|
|Additional Information||Copyright EDP Sciences.|
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf
You might also like
Automatic symbolic computation for discontinuous Galerkin finite element methods
Output feedback control of flow separation over an aerofoil using plasma actuators