Yuki Chiba, Norikazu Saito
Published 2019-05-05Version 1
We prove several optimal-order error estimates for the finite element method applied to an inhomogeneous Robin boundary value problem for the Poisson equation defined in a smooth bounded domain in $\mathbb{R}^n$, $n=2,3$. The boundary condition is imposed weakly by the Nische's method. We also study the symmetric interior penalty discontinuous Galerkin method and prove the same error estimates. Numerical examples to confirmed our results are also reported.
Comments: 16 pages, 7 figures
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