Contributions to Books:
M. Feischl, M. Page, D. Praetorius:
"Convergence and quasi-optimality of adaptive FEM with inhomogeneous Dirichlet data (GAMM 2011)";
in: "ASC Report 16/2011",
issued by: Institute for Analysis and Scientific Computing;
Vienna University of Technology,
We consider an adaptive mesh-refining algorithm for a lowest-order finite element method (AFEM). Contrary to prior works,
where the Poisson equation with homogeneous Dirichlet data is analyzed, our focus is on the case of inhomogeneous Dirichlet
data g 6= 0. As is usually done in practice, we use nodal interpolation to discretize g. Besides convergence of AFEM, which
is proven by means of an appropriate contraction quantity, we also discuss quasi-optimality of the proposed algorithm.
Electronic version of the publication:
Created from the Publication Database of the Vienna University of Technology.