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Optimization-based, property-preserving finite element methods for scalar advection equations and their connection to Algebraic Flux Correction

Pavel Bochev, Denis Ridzal, Marta D’Elia, Mauro Perego, Kara Peterson

2020Computer Methods in Applied Mechanics and Engineering15 citationsDOIOpen Access PDF

Topics & Concepts

DiscretizationMathematicsScalar (mathematics)Applied mathematicsFinite element methodMathematical optimizationFinite volume methodOptimization problemScalar fieldFlux limiterMathematical analysisGeometryMechanicsPhysicsMathematical physicsThermodynamicsAdvanced Numerical Methods in Computational MathematicsComputational Fluid Dynamics and AerodynamicsLattice Boltzmann Simulation Studies