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math.NA2021
Sixth Order Compact Finite Difference Method for 2D Helmholtz Equations with Singular Sources and Reduced Pollution Effect
Qiwei Feng, Bin Han, Michelle Michelle
Due to its highly oscillating solution, the Helmholtz equation is numerically challenging to solve. To obtain a reasonable solution, a mesh size that is much smaller than the recip…
math.AP2021
Sharp Stability Wavenumber-explicit Bounds for 2D Helmholtz Equations
Bin Han, Michelle Michelle
Numerically solving the 2D Helmholtz equation is widely known to be very difficult largely due to its highly oscillatory solution, which brings about the pollution effect. A very f…