Trott, David W.Gobbert, Matthias K.2018-10-242018-10-242011http://hdl.handle.net/11603/11666COMSOL Conference 2011, Boston, MA, 2011.The FEM theory provides the basis for quantification on the accuracy and reliability of a numerical solution by the a priori error estimates on the FEM error vs. the mesh spacing of the FEM mesh. This paper presents information on the techniques needed in COMSOL 4.2 to enable computational studies that demonstrate this theory for time-dependent problems, in extension of previous work on stationary problems. These techniques can be used in many general settings, including when the analytic PDE solution is not known.6 pagesen-USThis item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author.Heat equationa priori error estimateconvergence studymesh refinementUMBC High Performance Computing Facility (HPCF)Text