Local on-surface radiation condition for multiple scattering of waves from convex obstacles

We propose a novel on-surface radiation condition to approximate the outgoing solution Helmholtz equation in exterior of several impenetrable convex obstacles. Based on local approximation Dirichlet-to-Neumann operator and formula for wave propagation, this new formulation simultaneously accounts behavior as well reflections arising from multiple The method involves tangential derivatives only, avoiding use integration over surfaces As consequence, leads sparse matrices O(N) complexity. Numerical results are presented illustrate performance limitations proposed formulation. Possible improvements extensions also discussed.