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.

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.

Persistent Identifier

http://archives.pdx.edu/ds/psu/10610

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