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math.NA2014★ 40 cited
Robust exponential convergence of -FEM in balanced norms for singularly perturbed reaction-diffusion equations
Jens Markus Melenk, Christos Xenophontos
The -version of the finite element method is applied to a singularly perturbed reaction-diffusion equation posed in one- and two-dimensional domains with analytic boundary. On…
math.NA2014★ 8 cited
Simultaneous quasi-optimal convergence in FEM-BEM coupling
Jens Markus Melenk, Dirk Praetorius, Barbara Wohlmuth
We consider the symmetric FEM-BEM coupling that connects two linear elliptic second order partial differential equations posed in a bounded domain and its complement, where the…