Stability and interpolation properties of serendipity nodal virtual elements
L. Beirão da Veiga, Lorenzo Mascotto
Abstract
We discuss stability and interpolation properties of serendipity nodal virtual element spaces in two and three dimensions. Notably, we rigorously prove stability bounds for the “dofi-dofi” stabilization and show that the best interpolation error in serendipity nodal spaces is controlled, up to constants, by a best polynomial approximation term.
Topics & Concepts
SerendipityMathematicsInterpolation (computer graphics)NODALStability (learning theory)Pure mathematicsMathematical analysisComputer graphics (images)Computer scienceMachine learningMedicineEpistemologyAnatomyPhilosophyAnimationAdvanced Numerical Methods in Computational MathematicsNumerical methods in engineeringComputational Fluid Dynamics and Aerodynamics