Kernel free boundary integral method for 3D incompressible flow and linear elasticity equations on irregular domains

A second-order accurate kernel-free boundary integral method is presented for Stokes and Navier value problems on three-dimensional irregular domains. It solves equations in the framework of equations, whose corresponding discrete forms are well-conditioned solved by GMRES method. notable feature this approach that or volume integrals encountered BIEs indirectly evaluated a Cartesian grid-based method, which includes discretizing simple interface with MAC scheme, correcting linear systems to reduce large local truncation errors near interface, solving modified system CG together an FFT-based Poisson solver. No extra work special quadratures required deal singular hyper-singular dependence analytical expressions Green's functions kernels completely eliminated. Numerical results given demonstrate efficiency accuracy