Finite Element Convergence for Time-Dependent PDEs with a Point Source in COMSOL 4.2
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Type of Work6 pages
conference paper pre-print
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a priori error estimate
High Performance Computing Facility (HPCF)
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.