A rigorous convergence proof showing that discrete Sommerfeld solutions on a square lattice converge to the continuous Sommerfeld solution in a discrete Sobolev norm as lattice spacing tends to zero, for damped incident waves.
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Continuum limit of discrete Sommerfeld problems on square lattice
A rigorous convergence proof showing that discrete Sommerfeld solutions on a square lattice converge to the continuous Sommerfeld solution in a discrete Sobolev norm as lattice spacing tends to zero, for damped incident waves.