An unfitted hybrid high-order method for the Stokes interface problem
Erik Burman, Guillaume Delay, Alexandre Ern
Abstract
Abstract We design and analyze a hybrid high-order method on unfitted meshes to approximate the Stokes interface problem. The interface can cut through the mesh cells in a very general fashion. A cell-agglomeration procedure prevents the appearance of small cut cells. Our main results are inf-sup stability and a priori error estimates with optimal convergence rates in the energy norm. Numerical simulations corroborate these results.
Topics & Concepts
Polygon meshMathematicsA priori and a posterioriNorm (philosophy)Convergence (economics)Stability (learning theory)Interface (matter)Rate of convergenceApplied mathematicsStokes problemMathematical optimizationComputer scienceGeometryFinite element methodEngineeringMachine learningBubbleEconomicsParallel computingLawMaximum bubble pressure methodPhilosophyComputer networkEpistemologyPolitical scienceStructural engineeringChannel (broadcasting)Economic growthAdvanced Numerical Methods in Computational MathematicsLattice Boltzmann Simulation StudiesComputational Fluid Dynamics and Aerodynamics