Matrix analysis
A proposal for toeplitz matrix calculations
Studies in Applied Mathematics
A fast algorithm for particle simulations
Journal of Computational Physics
Multilevel matrix multiplication and fast solution of integral equations
Journal of Computational Physics
Computational frameworks for the fast Fourier transform
Computational frameworks for the fast Fourier transform
Numerical recipes in C (2nd ed.): the art of scientific computing
Numerical recipes in C (2nd ed.): the art of scientific computing
An Accelerated Kernel-Independent Fast Multipole Method in One Dimension
SIAM Journal on Scientific Computing
Parallel black box $$\mathcal {H}$$-LU preconditioning for elliptic boundary value problems
Computing and Visualization in Science
A precorrected-FFT method for electrostatic analysis of complicated 3-D structures
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Hi-index | 7.29 |
The paper is concerned with the new iteration algorithm to solve boundary integral equations arising in boundary value problems of mathematical physics. The stability of the algorithm is demonstrated on the problem of a flow around bodies placed in the incompressible inviscid fluid. With a discrete numerical treatment, we approximate the exact matrix by a certain Toeplitz one and then apply a fast algorithm for this matrix, on each iteration step. We illustrate the convergence of this iteration scheme by a number of numerical examples, both for hard and soft boundary conditions. It appears that the method is highly efficient for hard boundaries, being much less efficient for soft boundaries.