Interpolation and stability properties of low-order face and edge virtual element spaces
L. Beirão da Veiga, Lorenzo Mascotto
Abstract
We analyse the interpolation properties of two-dimensional and three-dimensional low-order virtual element (VE) face and edge spaces, which generalize Nédélec and Raviart–Thomas polynomials to polygonal-polyhedral meshes. Moreover, we investigate the stability properties of the associated L2discrete bilinear forms, which typically appear in the VE discretization of problems in electromagnetism.
Topics & Concepts
MathematicsBilinear interpolationDiscretizationInterpolation (computer graphics)Polygon meshStability (learning theory)Element (criminal law)Face (sociological concept)Enhanced Data Rates for GSM EvolutionMathematical analysisGeometryPure mathematicsComputer graphics (images)Computer scienceArtificial intelligenceSocial scienceLawAnimationMachine learningPolitical scienceSociologyStatisticsAdvanced Numerical Methods in Computational MathematicsNumerical methods in engineeringElectromagnetic Simulation and Numerical Methods