A hierarchical direct solver for QBX-discretized boundary integral equations using HSS matrices, proxy-based far-field approximations, and ID compression with an error model for automatic parameter selection.
SIAM Journal on Scientific Computing 36, A427–A451 (2014)
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An encoder-decoder neural network trained on boundary element method data designs and compares layered cloaks for 2D Helmholtz scattering, showing object-fitted layers reduce scattering more than circular ones for circular, star, and kite objects.
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A Fast Direct Solver for Boundary Integral Equations Using Quadrature By Expansion
A hierarchical direct solver for QBX-discretized boundary integral equations using HSS matrices, proxy-based far-field approximations, and ID compression with an error model for automatic parameter selection.
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Solving forward and inverse wave scattering via boundary integral equations and deep learning. Applications to cloaking design
An encoder-decoder neural network trained on boundary element method data designs and compares layered cloaks for 2D Helmholtz scattering, showing object-fitted layers reduce scattering more than circular ones for circular, star, and kite objects.