CONTINUOUS MESH FRAMEWORK PART II: VALIDATIONS AND APPLICATIONS - LOSEILLE, ADRIEN; ALAUZET, FRÉDÉRIC (SIAM journal on numerical analysis, 2011)
Keywords: Amplitude; Analysis of PDEs; Approximation; Approximations and expansions; Calculus of variations and optimal control; Convergence; Error analysis; Error rates; Errors; Euler equations; Exact sciences and technology; Interpolation; Linear interpolation; Mathematical analysis; Mathematical functions; Mathematical models; Mathematical sequences; Mathematics; Modeling; Norms; Numerical analysis; Numerical analysis. Scientific computation; Numerical approximation; Optimization; Partial differential equations; Sciences and techniques of general use; Strategy; Studies; Vertices; 65N15; Three-dimensional calculations; Metric space; Error estimation; anisotropic mesh adaptation; interpolation error; Duality; Adaptive control; Partial differential equation; Numerical approximation; 65N50; Variational calculus; 65L50; Analytical function; continuous mesh; Grid pattern; Riemannian metric space; Optimal convergence; optimal interpolation error bound; Interpolation; Numerical analysis; linear interpolate; 65D05; Optimal approximation; Two-dimensional calculations; unstructured mesh; optimal interpolation error bound AMS subject classifications. 65D05