On numerical resolution of an inverse Cauchy problem modeling the airflow in the bronchial tree
DOI10.1007/s40314-021-01420-xzbMath1473.65269OpenAlexW3122347369MaRDI QIDQ2027722
Publication date: 28 May 2021
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-021-01420-x
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Ill-posed problems for PDEs (35R25) Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Physiological flows (76Z05) 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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- Iterated quasi-reversibility method applied to elliptic and parabolic data completion problems
- Recovering boundary data: the Cauchy Stokes system
- A control type method for solving the Cauchy-Stokes problem
- Misfit functional for recovering data in 2D electrocardiography problems
- A regularization method for solving the Cauchy problem for the Helmholtz equation
- An iterative method for the Cauchy problem in linear elasticity with fading regularization effect
- A comparative study on applying the method of fundamental solutions to the backward heat conduction problem
- An iterative method for solving the Cauchy problem for elliptic equations
- An alternating iterative MFS algorithm for the Cauchy problem for the modified Helmholtz equation
- Inverse reconstruction of boundary condition coefficients in one-dimensional transient heat conduction
- Quasi-reversibility and truncation methods to solve a Cauchy problem for the modified Helmholtz equation
- A stable finite element for the Stokes equations
- The method of fundamental solutions for elliptic boundary value problems
- Non-iterative regularized MFS solution of inverse boundary value problems in linear elasticity: a numerical study
- An alternating method for an inverse Cauchy problem
- Iterative Tikhonov regularization for the Cauchy problem for the Helmholtz equation
- An accelerated alternating procedure for the Cauchy problem for the Helmholtz equation
- Method of fundamental solutions for a Cauchy problem of the Laplace equation in a half-plane
- Inverse boundary value problem for the Stokes and the Navier-Stokes equations in the plane
- Weighted reproducing kernel collocation method based on error analysis for solving inverse elasticity problems
- Preconditioned Richardson iteration for augmented linear systems
- Carleman estimates for the regularization of ill-posed Cauchy problems
- Tikhonov type regularization method for the Cauchy problem of the modified Helmholtz equation
- Reconstruction of boundary condition laws in heat conduction using the boundary element method
- The quasi-reversibility method to solve the Cauchy problems for parabolic equations
- Factorization method for the inverse Stokes problem
- Numerical analysis of an energy-like minimization method to solve a parabolic Cauchy problem with noisy data
- Density results using Stokeslets and a method of fundamental solutions for the Stokes equations
- The method of fundamental solutions for inverse 2D Stokes problems
- Solution of the Cauchy problem using iterated Tikhonov regularization
- A coupled complex boundary method for the Cauchy problem
- On Cauchy's problem: I. A variational Steklov–Poincaré theory
- Solving Cauchy problems by minimizing an energy-like functional
- Why is the Cauchy problem severely ill-posed?
- The Quasi-Reversibility Method for Thermoacoustic Tomography in a Heterogeneous Medium
- A source reconstruction algorithm for the Stokes system from incomplete velocity measurements
- On a fixed point study of an inverse problem governed by Stokes equation
- Mixed Finite Element Methods and Applications
- Thermoacoustic tomography with an arbitrary elliptic operator
- A duality-based method of quasi-reversibility to solve the Cauchy problem in the presence of noisy data
- Recent trends and advances in solving the inverse problem for EEG source localization
- On the data completion problem and the inverse obstacle problem with partial Cauchy data for Laplace’s equation
- On quasi-reversibility solutions to the Cauchy problem for the Laplace equation: regularity and error estimates
- Estimates of initial conditions of parabolic equations and inequalities via lateral Cauchy data
- An alternating method for the stationary Stokes system
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