A High-Order Kernel-Free Boundary Integral Method for the Biharmonic Equation on Irregular Domains - Xie, Yaning; Ying, Wenjun; Wang, Wei-Cheng (Journal of scientific computing, 2019)
Keywords: Accuracy; Algorithms; Biharmonic equations; Boundary conditions; Boundary integral method; Boundary value problems; Cartesian coordinates; Computational Mathematics and Numerical Analysis; Decomposition; Fast Fourier transformations; Finite difference method; Fluid mechanics; Fourier transforms; Free boundaries; Green's functions; Integral equations; Mathematical analysis; Mathematical and Computational Engineering; Mathematical and Computational Physics; Mathematics; Mathematics and Statistics; Methods; Numerical analysis; Operators (mathematics); Poisson equation; Theoretical; Biharmonic equation; Boundary integral method; Interface problem; Cartesian grid method; Nine-point compact finite difference scheme