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math.NA2019
Continuous time integration for changing type systems
Sebastian Franz
We consider variational time integration using continuous Galerkin Petrov methods applied to evolutionary systems of changing type. We prove optimal-order convergence of the error…
math.NA2019
Error estimates in balanced norms of finite element methods for higher order reaction-diffusion problems
Sebastian Franz, Hans-G. Roos
Error estimates of finite element methods for reaction-diffusion problems are often realised in the related energy norm. In the singularly perturbed case, however, this norm is not…