Superconvergence of a Galerkin FEM for Higher-Order Elements in Convection-Diffusion Problems. Issue 3 (August 2014)
- Record Type:
- Journal Article
- Title:
- Superconvergence of a Galerkin FEM for Higher-Order Elements in Convection-Diffusion Problems. Issue 3 (August 2014)
- Main Title:
- Superconvergence of a Galerkin FEM for Higher-Order Elements in Convection-Diffusion Problems
- Authors:
- Franz, Sebastian
Roos, H.-G. - Abstract:
- Abstract: In this paper we present a first supercloseness analysis for higher-order Galerkin FEM applied to a singularly perturbed convection-diffusion problem. Using a solution decomposition and a special representation of our finite element space, we are able to prove a supercloseness property of p + 1/4 in the energy norm where the polynomial order p ≥ 3 is odd.
- Is Part Of:
- Numerical mathematics. Volume 7:Issue 3(2014)
- Journal:
- Numerical mathematics
- Issue:
- Volume 7:Issue 3(2014)
- Issue Display:
- Volume 7, Issue 3 (2014)
- Year:
- 2014
- Volume:
- 7
- Issue:
- 3
- Issue Sort Value:
- 2014-0007-0003-0000
- Page Start:
- 356
- Page End:
- 373
- Publication Date:
- 2014-08
- Subjects:
- 65N12, -- 65N30, -- 65N50
Singular perturbation, -- layer-adapted meshes, -- superconvergence, -- postprocessing
Numerical analysis -- Periodicals
Numerical analysis
Periodicals
518.05 - Journal URLs:
- http://journals.cambridge.org/action/displayJournal?jid=TMA ↗
http://www.global-sci.org/nmtma/ ↗ - DOI:
- 10.1017/S1004897900000155 ↗
- Languages:
- English
- ISSNs:
- 1004-8979
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD Digital store
- Ingest File:
- 5783.xml