Two numerical methods for a Cauchy problem for modified Helmholtz equation
From MaRDI portal
Publication:651692
DOI10.1016/j.apm.2011.04.001zbMath1228.65216OpenAlexW1972360299WikidataQ112880195 ScholiaQ112880195MaRDI QIDQ651692
Xiaoyan Fan, Wanxia Shi, Xiang-Tuan Xiong
Publication date: 18 December 2011
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apm.2011.04.001
Related Items
A mollification regularization method with the Dirichlet kernel for two Cauchy problems of three-dimensional Helmholtz equation, Landweber iterative regularization method for identifying the unknown source of the modified Helmholtz equation, On regularization and error estimates for the Cauchy problem of the modified inhomogeneous Helmholtz equation, An a posteriori truncation method for some Cauchy problems associated with Helmholtz-type equations, Landweber iterative regularization method for reconstructing the unknown source of the modified Helmholtz equation, An order optimal regularization method for the Cauchy problem of a Laplace equation in an annulus domain, A regularization method for the cauchy problem of the modified Helmholtz equation
Cites Work
- Unnamed Item
- Unnamed Item
- The plane wave method for inverse problems associated with Helmholtz-type equations
- Bounds in the Cauchy problem for the Laplace equation
- The method of fundamental solutions for inverse boundary value problems associated with the two-dimensional biharmonic equation
- Boundary element-minimal error method for the Cauchy problem associated with Helmholtz-type equations
- Quasi-reversibility and truncation methods to solve a Cauchy problem for the modified Helmholtz equation
- A mathematical procedure for solving the inverse potential problem of electrocardiography. Analysis of the time-space accuracy from in vitro experimental data
- 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
- A meshless method for the numerical solution of the Cauchy problem associated with three-dimensional Helmholtz-type equations
- Method of fundamental solutions with regularization techniques for Cauchy problems of elliptic operators
- Tikhonov type regularization method for the Cauchy problem of the modified Helmholtz equation
- BEM solution for the Cauchy problem associated with Helmholtz-type equations by the Landweber method
- On solving boundary value problems of modified Helmholtz equations by plane wave functions
- A regularization method for a Cauchy problem of the Helmholtz equation
- Backus-Gilbert algorithm for the Cauchy problem of the Laplace equation
- Relaxation of Alternating Iterative Algorithms for the Cauchy Problem Associated with the Modified Helmholtz Equation
- A Fourth-Order Modified Method for the Cauchy Problem of the Modified Helmholtz Equation
- Unique continuation on a line for harmonic functions
- A comparison of regularizations for an ill-posed problem
- Stability and Regularization of a Discrete Approximation to the Cauchy Problem for Laplace's Equation
- Optimality for ill-posed problems under general source conditions
- Stability results for the Cauchy problem for the Laplace equation in a strip
- One new strategy for a priori choice of regularizing parameters in Tikhonov's regularization
- The Cauchy problem for Laplace's equation via the conjugate gradient method
- A spectral method for solving the sideways heat equation
