A CutFEM is developed and analyzed for convection-diffusion on hierarchical mixed-dimensional manifolds, with a priori error estimates in energy and L2 norms that hold for reduced regularity solutions.
Finite elements for scalar convection-dominated equations and incompressible flow problems: a never ending story?Comput
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A residual-based a posteriori error estimator is proposed for the Oseen problem that is robust in the convection-dominated regime when using SUPG/PSPG/grad-div stabilization, with robustness proved under hypotheses on errors and supported by numerical studies.
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Cut Finite Element Methods for Convection-Diffusion in Mixed-Dimensional Domains
A CutFEM is developed and analyzed for convection-diffusion on hierarchical mixed-dimensional manifolds, with a priori error estimates in energy and L2 norms that hold for reduced regularity solutions.
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A robust a posteriori error estimator for the Oseen problem
A residual-based a posteriori error estimator is proposed for the Oseen problem that is robust in the convection-dominated regime when using SUPG/PSPG/grad-div stabilization, with robustness proved under hypotheses on errors and supported by numerical studies.