Abstract
We present a postprocessing technique applied to a class of eigenvalue problems on a convex polygonal domain Ω in the plane, with nonlocal Dirichlet or Neumann boundary conditions on \(\Gamma_1 \subset \partial \Omega\). Such kind of problems arise for example from magnetic field computations in electric machines. The postprocessing strategy accelerates the convergence rate for the approximate eigenpair. By introducing suitable finite element space as well as solving a simple additional problem, we obtain good approximations on a coarse mesh. Numerical results illustrate the efficiency of the proposed method.
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Andreev, A.B., Racheva, M.R. (2008). Superconvergent Finite Element Postprocessing for Eigenvalue Problems with Nonlocal Boundary Conditions. In: Lirkov, I., Margenov, S., Waśniewski, J. (eds) Large-Scale Scientific Computing. LSSC 2007. Lecture Notes in Computer Science, vol 4818. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78827-0_74
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DOI: https://doi.org/10.1007/978-3-540-78827-0_74
Publisher Name: Springer, Berlin, Heidelberg
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