TY - GEN A1 - Kornhuber, Ralf A1 - Roitzsch, Rainer T1 - On Adaptive Grid Refinement in the Presence of Internal or Boundary Layers. N2 - We propose an anisotropic refinement strategy which is specially designed for the efficient numerical resolution of internal and boundary layers. This strategy is based on the directed refinement of single triangles together with adaptive multilevel grid orientation. It is demonstrated by several numerical examples that compared to usual methods, the new anisotropic refinement ends up in more stable and more accurate solutions at much less computational cost. {\bf Keywords:} Adaptive finite elements, directed refinement, adaptive grid orientation, convection diffusion equation, internal and boundary layers. T3 - ZIB-Report - SC-89-05 KW - adaptive finite elements KW - directed refinement KW - adaptive grid orientation KW - convection diffusion equation KW - internal and boundary layers Y1 - 1989 UR - https://opus4.kobv.de/opus4-zib/frontdoor/index/index/docId/23 UR - https://nbn-resolving.org/urn:nbn:de:0297-zib-230 ER -