Sponsor
This work was supported in part by the Department of Energy [National Nuclear Security Administration] under Award Number DE-FC52-08NA28615 and the NSF under DMS-1014817.
Published In
SIAM Journal on Numerical Analysis
Document Type
Post-Print
Publication Date
2011
Subjects
Error analysis (Mathematics), Galerkin methods, Heat equation -- Numerical solutions
Abstract
We give an error analysis of the recently developed DPG method applied to solve the Poisson equation and a convection-dffusion problem. We prove that the method is quasioptimal. Error estimates in terms of both the mesh size h and the polynomial degree p (for various element shapes) can be derived from our results. Results of extensive numerical experiments are also presented.
Persistent Identifier
http://archives.pdx.edu/ds/psu/10610
Citation Details
Demkowicz, Leszek and Gopalakrishnan, Jay, "Analysis of the DPG Method for the Poisson Equation" (2011). Mathematics and Statistics Faculty Publications and Presentations. 42.
https://pdxscholar.library.pdx.edu/mth_fac/42
Description
This is the author’s version of a work that was accepted for publication in SIAM Journal on Numerical Analysis. A definitive version was subsequently published in SIAM Journal on Numerical Analysis, 2011. Vol. 49 Issue 5/6, p1788-1809.