Finite element approximation for time-dependent diffusion with measure-valued source

Abstract

The convergence of finite element methods for elliptic and parabolic partial differential equations is well-established if source terms are sufficiently smooth. Noting that finite element computation is easily implemented even when the source terms are measure-valued — for instance, modeling point sources by Dirac delta distributions — we prove new… (More)
DOI: 10.1007/s00211-012-0474-8

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