Flight vehicle aerodynamics calculated by a Galerkin finite element/finite difference method

A Multifunctional Interface Method for Coupling Finite Element and Finite Difference Methods: Two-Dimensional Scalar-Field Problems

“…Examples of methods that couple different independently discretized models include global/local approaches [1][2][3][4] and finite element coupling methods [5][6][7][8][9][10] . Examples of methods that couple different modeling methods include finite element and boundary element methods [11][12][13][14] , finite element and Rayleigh-Ritz approximations 15 , finite element and finite difference methods 16,17 , finite element and analytical solutions 18 , and finite element and equivalent plate solutions 19 . These interface methods facilitate the discretization of geometry by providing a capability to model independently the regions of interest, increasing the discretization fidelity or enhancing the mathematical approximation only in desired domains.…”