An alternating iterative algorithm for the Cauchy problem associated to the Helmholtz equation
From MaRDI portal
Publication:1400240
DOI10.1016/S0045-7825(02)00592-3zbMath1022.78012OpenAlexW2089816835MaRDI QIDQ1400240
Publication date: 13 August 2003
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0045-7825(02)00592-3
Ill-posed problems for PDEs (35R25) Boundary element methods applied to problems in optics and electromagnetic theory (78M15) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)
Related Items
Solvability of a non-linear Cauchy problem for an elliptic equation, Boundary particle method for Cauchy inhomogeneous potential problems, Numerical boundary identification for Helmholtz-type equations, Stability analysis of the Fourier–Bessel method for the Cauchy problem of the Helmholtz equation, An operator marching method for inverse problems in range-dependent waveguides, A meshless method for some inverse problems associated with the Helmholtz equation, Appropriate implementation of an invariant MFS for inverse boundary determination problem, Spectral Galerkin method and its application to a Cauchy problem of Helmholtz equation, A simple Trefftz method for solving the Cauchy problems of three-dimensional Helmholtz equation, A regularization method for a Cauchy problem of the Helmholtz equation, On a quasi-reversibility regularization method for a Cauchy problem of the Helmholtz equation, An a posteriori truncation method for some Cauchy problems associated with Helmholtz-type equations, Regularization of the Cauchy problem for the Helmholtz equation by using Meyer wavelet, Modified method of fundamental solutions for the Cauchy problem connected with the Laplace equation, The dual reciprocity boundary element method for solving Cauchy problems associated to the Poisson equation, Analysis of Dirichlet-Robin iterations for solving the Cauchy problem for elliptic equations, An efficient D-N alternating algorithm for solving an inverse problem for Helmholtz equation, On a neural network approach for solving potential control problem of the semiclassical Schrödinger equation, Robin-Dirichlet alternating iterative procedure for solving the Cauchy problem for Helmholtz equation in an unbounded domain, An effective relaxed alternating procedure for Cauchy problem connected with Helmholtz Equation, The inverse fundamental operator marching method for Cauchy problems in range-dependent stratified waveguides, Optimal error bound and a quasi-boundary value regularization method for a Cauchy problem of the modified Helmholtz equation, An optimal filtering method for the Cauchy problem of the Helmholtz equation, A regularization method for solving the Cauchy problem for the Helmholtz equation, A potential function method for the Cauchy problem of elliptic operators, The plane wave method for inverse problems associated with Helmholtz-type equations, An Inverse Diffraction Problem: Shape Reconstruction, A wavelet method for the Cauchy problem for the Helmholtz equation, A spectral regularization method for a Cauchy problem of the modified Helmholtz equation, Method of fundamental solutions with regularization techniques for Cauchy problems of elliptic operators, An iterative regularization method to solve the Cauchy problem for the Helmholtz equation, Two numerical methods for a Cauchy problem for modified Helmholtz equation, The method of fundamental solutions and condition number analysis for inverse problems of Laplace equation, A quasi-reversibility regularization method for the Cauchy problem of the Helmholtz equation, Low Regularity Primal-Dual Weak Galerkin Finite Element Methods for Ill-Posed Elliptic Cauchy Problems, Solution of Cauchy Problems by the Multiple Scale Method of Particular Solutions Using Polynomial Basis Functions, Artificial neural network approximations of Cauchy inverse problem for linear PDEs, An alternating iterative MFS algorithm for the Cauchy problem for the modified Helmholtz equation, Primal-dual weak Galerkin finite element methods for elliptic Cauchy problems, Modified regularization method for the Cauchy problem of the Helmholtz equation, Two regularization methods for the Cauchy problems of the Helmholtz equation, BEM solution for the Cauchy problem associated with Helmholtz-type equations by the Landweber method, Iterative Tikhonov regularization for the Cauchy problem for the Helmholtz equation, An accelerated alternating procedure for the Cauchy problem for the Helmholtz equation, A Bayesian inference approach to the ill-posed Cauchy problem of steady-state heat conduction, Detection of cavities in Helmholtz-type equations using the boundary element method, Boundary knot method for the Cauchy problem associated with the inhomogeneous Helmholtz equation, The Fourier regularization for solving the Cauchy problem for the Helmholtz equation, A meshless method for the numerical solution of the Cauchy problem associated with three-dimensional Helmholtz-type equations, Parameter identification in Helmholtz-type equations with a variable coefficient using a regularized DRBEM, The Fourier-Bessel method for solving the Cauchy problem connected with the Helmholtz equation, Calculation of the heat flux near the liquid-gas-solid contact line, Modified Tikhonov regularization method for the Cauchy problem of the Helmholtz equation, Numerical solution of an elliptic 3-dimensional Cauchy problem by the alternating method and boundary integral equations, Iterative methods for solving a nonlinear boundary inverse problem in glaciology, Boundary element-minimal error method for the Cauchy problem associated with Helmholtz-type equations, A coupled complex boundary method for the Cauchy problem, An alternating iterative procedure for the Cauchy problem for the Helmholtz equation, A numerical study on the solution of the Cauchy problem in elasticity, DRBEM for Cauchy convection-diffusion problems with variable coefficients, Robin–Dirichlet algorithms for the Cauchy problem for the Helmholtz equation, A meshless fading regularization algorithm for solving the Cauchy problem for the three-dimensional Helmholtz equation, Comparative analysis of methods for regularizing an initial boundary value problem for the Helmholtz equation, A data completion algorithm using an integral representation of the Steklov-Poincaré operator, Nonparametric regression in a statistical modified Helmholtz equation using the Fourier spectral regularization
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An iterative method for solving the Cauchy problem for elliptic equations
- A new approach to free vibration analysis using boundary elements
- Three-dimensional structural vibration analysis by the dual reciprocity BEM
- The Detection of the Source of Acoustical Noise in Two Dimensions
- On the integral equation method for the plane mixed boundary value problem of the Laplacian
- A simplified integral equation method for the calculation of the eigenvalues of Helmholtz equation
- Helmholtz Eigenvalue Analysis By Boundary Element Method
- Mixed problems in the theory of bending of elastic plates with transverse shear deformation
- Some comments on the use of radial basis functions in the dual reciprocity method
