WaveHoltz: Iterative Solution of the Helmholtz Equation via the Wave Equation

Daniel Appelö,Fortino García,Olof Runborg

WaveHoltz: Iterative Solution of the Helmholtz Equation via the Wave Equation

2020

Daniel Appelö
Fortino García
Olof Runborg

A new iterative method, the WaveHoltz iteration, for solution of the Helmholtz equation is presented. WaveHoltz is a fixed point iteration that filters the solution to the solution of a wave equati...

Keywords:

Mathematics
Helmholtz free energy
Iterative method
Positive-definite matrix
Wave equation
Helmholtz equation
Mathematical analysis
Fixed-point iteration

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