Well-conditioned boundary integral equations for two-dimensional sound-hard scattering problems in domains with corners
We present several well-posed, well-conditioned direct and indirect integral equation
formulations for the solution of two-dimensional acoustic scattering problems with Neumann
boundary conditions in domains with corners. We focus mainly on Direct Regularized
Combined Field Integral Equation (DCFIE-R) formulations whose name reflects that (1) they
consist of combinations of direct boundary integral equations of the second-kind and first-
kind integral equations which are preconditioned on the left by coercive boundary single …
formulations for the solution of two-dimensional acoustic scattering problems with Neumann
boundary conditions in domains with corners. We focus mainly on Direct Regularized
Combined Field Integral Equation (DCFIE-R) formulations whose name reflects that (1) they
consist of combinations of direct boundary integral equations of the second-kind and first-
kind integral equations which are preconditioned on the left by coercive boundary single …
[PDF][PDF] Well conditioned boundary integral equations for two-dimensional sound-hard scattering problems in domains with corners
C Turc, J Ovall, A Anand - 2010 - mis.mpg.de
We present several well-posed, well-conditioned integral equation formulations for the
solution of two-dimensional acoustic scattering problems with Neumann boundary
conditions in domains with corners. We call these integral equations Direct Regularized
Combined Field Integral Equations (DCFIE-R) formulations because (1) they consist of
combinations of direct boundary integral equations of the second-kind and first-kind integral
equations which are preconditioned on the left by coercive boundary single-layer operators …
solution of two-dimensional acoustic scattering problems with Neumann boundary
conditions in domains with corners. We call these integral equations Direct Regularized
Combined Field Integral Equations (DCFIE-R) formulations because (1) they consist of
combinations of direct boundary integral equations of the second-kind and first-kind integral
equations which are preconditioned on the left by coercive boundary single-layer operators …
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