A Posteriori Error Estimates and Adaptive Mesh Refinement for the Coupling of the Finite Volume Method and the Boundary Element Method

摘要: We consider the coupling of finite volume method and boundary element Erath [SIAM J. Numer. Anal., 50 (2012), pp. 574--594] in two three dimensions. This can be used, for example, to approximate a solution transport concentration fluid, where no conditions are available. derive residual-based posteriori estimates (also an upwind version). These upper lower bounds measure error energy (semi)norm between exact numerical solution. The bound is robust sense that it does not depend on variation model data. bound, however, depends additionally local Peclet number. contributions used steer adaptive mesh-refining algorithm. strategy turns out very suitable treatment transmission problems, which have singularities or boundary/internal layers. Several examples illustrate effectivenes...