An accelerated alternating procedure for the Cauchy problem for the Helmholtz equation
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Publication:2013738
DOI10.1016/j.camwa.2014.05.002zbMath1368.35075OpenAlexW2072505031MaRDI QIDQ2013738
Publication date: 9 August 2017
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2014.05.002
inverse problemCauchy problemHelmholtz equationill-posed problemconjugate gradient methodsalternating iterative method
Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)
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Cites Work
- Unnamed Item
- A potential function method for the Cauchy problem of elliptic operators
- Kozlov-Maz'ya iteration as a form of Landweber iteration
- A regularization method for solving the Cauchy problem for the Helmholtz equation
- An iterative method for solving the Cauchy problem for elliptic equations
- Wavelet moment method for the Cauchy problem for the Helmholtz equation
- Two regularization methods for the Cauchy problems of the Helmholtz equation
- Boundary element-minimal error method for the Cauchy problem associated with Helmholtz-type equations
- Accelerated Landweber iterations for the solution of ill-posed equations
- Variational methods for underwater acoustic problems
- An alternating iterative algorithm for the Cauchy problem associated to the Helmholtz equation
- Conjugate gradient-boundary element solution to the Cauchy problem for Helmholtz-type equations
- Method of fundamental solutions with regularization techniques for Cauchy problems of elliptic operators
- Modified Tikhonov regularization method for the Cauchy problem of the Helmholtz equation
- The Detection of the Source of Acoustical Noise in Two Dimensions
- A variational conjugate gradient method for determining the fluid velocity of a slow viscous flow
- The Cauchy problem for Laplace's equation via the conjugate gradient method
- The Minimal Error Conjugate Gradient Method is a Regularization Method
- A variational method for identifying a spacewise-dependent heat source
- An alternating method for the stationary Stokes system
- Approximate solution of a Cauchy problem for the Helmholtz equation
- An alternating iterative procedure for the Cauchy problem for the Helmholtz equation
