28 citations · 136 across the 22 of their papers we have counts for
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math.NA2015★ 28 cited
Approximation of the high-frequency Helmholtz kernel by nested directional interpolation
Steffen Börm, Jens Markus Melenk
We present and analyze an approximation scheme for a class of highly oscillatory kernel functions, taking the 2D and 3D Helmholtz kernels as examples. The scheme is based on polyno…
math.NA2015★ 4 cited
Directional H2-matrix compression for high-frequency problems
Steffen Börm
Standard numerical algorithms like the fast multipole method or -matrix schemes rely on low-rank approximations of the underlying kernel function. For high-frequency p…
math.NA2015
Adaptive compression of large vectors
Steffen Börm
Numerical algorithms for elliptic partial differential equations frequently employ error estimators and adaptive mesh refinement strategies in order to reduce the computational cos…