Derives matching upper and lower bounds on absolute and relative discretization errors for centered FD on 1D Helmholtz via Fourier analysis under stated assumptions on k and h.
Finite element solution of the Helmholtz equation with high wave number Part II: theh−pversion of the FEM.SIAM Journal on Numerical Analysis, 34(1):315–358
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.NA 1years
2025 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Fourier Analysis of Finite Difference Schemes for the Helmholtz Equation in 1D with Dirichlet Conditions: Sharp Estimates and Relative Errors
Derives matching upper and lower bounds on absolute and relative discretization errors for centered FD on 1D Helmholtz via Fourier analysis under stated assumptions on k and h.