Finite Element Approximation of the Levi-Civita Connection and Its Curvature in Two Dimensions
Yakov Berchenko-Kogan, Evan S. Gawlik
Topics & Concepts
MathematicsConnection (principal bundle)PiecewiseCurvatureMathematical analysisRiemann curvature tensorFinite element methodSobolev spaceTensor (intrinsic definition)PolynomialMetric tensorCurvature formProjection (relational algebra)Pure mathematicsGeometryMean curvatureMean curvature flowAlgorithmThermodynamicsGeodesicPhysicsModel Reduction and Neural NetworksNumerical methods in engineeringAdvanced Numerical Methods in Computational Mathematics