[01805] A priori error estimates for parabolic interface problems with measure data
Session Time & Room : 3C (Aug.23, 13:20-15:00) @F312
Type : Contributed Talk
Abstract : This talk aims to present a priori error analysis for linear parabolic interface problems with measure data in time in a bounded convex polygonal domain in $R^2$. Both the spatially discrete and the fully discrete approximations are analyzed. Due to the low regularity of the solution, the convergence analysis of such problems become challenging. A priori error bounds in the $L^2(L^2(\Omega))$-norm for both the spatially discrete and the fully discrete schemes are derived under the minimal regularity assumption the solution together with the $L^2$-projection operator and the duality argument. Numerical results are reported to support the theoretical analysis.
