Robust error estimates for finite element discretizations of the heat equation with discontinuous coefficients
Stefano Berrone (2007)
ESAIM: Mathematical Modelling and Numerical Analysis
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In this work we derive error estimates based on equations residuals for the heat equation with discontinuous diffusivity coefficients. The estimates are based on a fully discrete scheme based on conforming finite elements in each time slab and on the A-stable -scheme with 1/2 ≤ ≤ 1. Following remarks of [Picasso, . (1998) 223–237; Verfürth, (2003) 195–212] it is easy to identify a time-discretization error-estimator and a space-discretization error-estimator. In...