Short Note: Artificial boundary conditions for axisymmetric slow viscous flow
Journal of Computational Physics
A second-order method for three-dimensional particle simulation
Journal of Computational Physics
Determining Planar Multiple Sound-Soft Obstacles from Scattered Acoustic Fields
Journal of Mathematical Imaging and Vision
Three-dimensional approximate local DtN boundary conditions for prolate spheroid boundaries
Journal of Computational and Applied Mathematics
A comparison of NRBCs for PUFEM in 2D Helmholtz problems at high wave numbers
Journal of Computational and Applied Mathematics
Journal of Computational Physics
Journal of Computational Physics
Efficient enforcement of far-field boundary conditions in the Transformed Field Expansions method
Journal of Computational Physics
Towards an optimal substructuring method for model reduction
PARA'04 Proceedings of the 7th international conference on Applied Parallel Computing: state of the Art in Scientific Computing
Computers & Mathematics with Applications
Hi-index | 31.48 |
An exact non-reflecting boundary condition is devised for use in solving the reduced wave equation in an infinite domain. The domain is made finite by the introduction of an artificial boundary on which this exact condition is imposed. In the finite domain a finite element method is employed. Although the boundary condition is non-local, that does not affect the efficiency of the computational scheme. Numerical examples are presented which show that the use of the exact non-local boundary condition yields results which are much more accurate than those obtained with various approximate local conditions. The method can also be used to solve problems in large finite domains by reducing them to smaller domains, and it can be adapted to other differential equations.