Abstract
This study deals with adaptive meshes for boundary element analysis with a nonlinear mixed boundary condition such as heat radiation. A local iteration scheme is used to solve the nonlinear equation system arising from the nonlinear boundary condition. Local reanalysis, which measures approximately the sensitivity of the boundary element solution to local mesh changes, is employed for error estimation. The L1-norm is used to measure both local and global errors. To test the applicability of the proposed scheme, an h-version mesh refinement strategy is described and applied to two-dimensional potential problems.
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