COMPUTING ILL-POSED TIME-REVERSED 2D NAVIER-STOKES EQUATIONS, USING A STABILIZED EXPLICIT FINITE DIFFERENCE SCHEME MARCHING BACKWARD IN TIME [0.03%]
基于稳定的显式差分格式向后推进求解不适定的二维Navier-Stokes方程逆问题
Alfred S Carasso
Alfred S Carasso
This paper constructs an unconditionally stable explicit finite difference scheme, marching backward in time, that can solve an interesting but limited class of ill-posed, time-reversed, 2D incompressible Navier-Stokes initial value problem...
STABILIZED BACKWARD IN TIME EXPLICIT MARCHING SCHEMES IN THE NUMERICAL COMPUTATION OF ILL-POSED TIME-REVERSED HYPERBOLIC/PARABOLIC SYSTEMS [0.03%]
求解不适定的双曲/抛物型时间反向行进系统问题中的稳定显式后向时间数值计算格式
Alfred S Carasso
Alfred S Carasso
This paper develops stabilized explicit marching difference schemes that can successfully solve a significant but limited class of multidimensional, ill-posed, backward in time problems for coupled hyperbolic/parabolic systems associated wi...
STABLE EXPLICIT STEPWISE MARCHING SCHEME IN ILL-POSED TIME-REVERSED 2D BURGERS' EQUATION [0.03%]
求解不适定的二维Burgers方程反问题的一种稳定的显式步进法
Alfred S Carasso
Alfred S Carasso
This paper constructs an unconditionally stable explicit difference scheme, marching backward in time, that can solve a limited, but important class of time-reversed 2D Burgers' initial value problems. Stability is achieved by applying a co...
Stephan Antholzer,Markus Haltmeier,Johannes Schwab
Stephan Antholzer
The development of fast and accurate image reconstruction algorithms is a central aspect of computed tomography. In this paper, we investigate this issue for the sparse data problem in photoacoustic tomography (PAT). We develop a direct and...
Continuous analogue to iterative optimization for PDE-constrained inverse problems [0.03%]
用于受PDE约束的逆问题的迭代优化连续类比法
R Boiger,A Fiedler,J Hasenauer et al.
R Boiger et al.
The parameters of many physical processes are unknown and have to be inferred from experimental data. The corresponding parameter estimation problem is often solved using iterative methods such as steepest descent methods combined with trus...
Recovering vector displacement estimates in quasistatic elastography using sparse relaxation of the momentum equation [0.03%]
利用动量方程的稀疏松弛恢复准静态弹性图中的矢量位移估计
Olalekan A Babaniyi,Assad A Oberai,Paul E Barbone
Olalekan A Babaniyi
We consider the problem of estimating the 2D vector displacement field in a heterogeneous elastic solid deforming under plane stress conditions. The problem is motivated by applications in quasistatic elastography. From precise and accurate...
Modeling Immune Response to BK Virus Infection and Donor Kidney in Renal Transplant Recipients [0.03%]
肾移植受者BK病毒所致免疫反应与供体肾脏建模分析
H T Banks,Shuhua Hu,Kathryn Link et al.
H T Banks et al.
In this paper we develop and validate with bootstrapping techniques a mechanistic mathematical model of immune response to both BK virus infection and a donor kidney based on known and hypothesized mechanisms in the literature. The model pr...
Approaches to accommodate noisy data in the direct solution of inverse problems in incompressible plane-strain elasticity [0.03%]
用于不可压缩平面应变弹性逆问题直接解法的噪声数据处理方法研究
U Albocher,P E Barbone,M S Richards et al.
U Albocher et al.
We apply the adjoint weighted equation method (AWE) to the direct solution of inverse problems of incompressible plane strain elasticity. We show that based on untreated noisy displacements, the reconstruction of the shear modulus can be ve...
H T Banks,K L Rehm
H T Banks
We formulate an optimal design problem for the selection of best states to observe and optimal sampling times for parameter estimation or inverse problems involving complex nonlinear dynamical systems. An iterative algorithm for implementat...
Optical imaging of phantoms from real data by an approximately globally convergent inverse algorithm [0.03%]
基于真实数据的光学模拟体光学成像的近全局收敛反算法研究
Jianzhong Su,Michael V Klibanov,Yueming Liu et al.
Jianzhong Su et al.
A numerical method for an inverse problem for an elliptic equation with the running source at multiple positions is presented. This algorithm does not rely on a good first guess for the solution. The so-called "approximate global convergenc...