nonlinear conjugate gradient method
Efficient spectral computation of the stationary states of rotating Bose-Einstein condensates by the preconditioned nonlinear conjugate gradient method
... the nonlinear preconditioned conjugate gradient method, developed in the 80s [37], as well as several variants of this (the Davidson algorithm, or the LOBPCG method ...
23
Development of numerical methods for the reactive transport of chemical species in a porous media : a nonlinear conjugate gradient method
... coupling, nonlinear conjugate gra- dient method, preconditioning ...of nonlinear coupled equations F(x) = ...investigating nonlinear conjugate gradient methods to improve ...
17
An efficient gradient-based method for differential-interference-contrast microscopy
... a nonlinear conjugate gradient method, which is particularly suited for least squares prob- ...its gradient in order to ensure convergence [2], which significantly increases ...
2
A conjugate gradient like method for p-norm minimization in functional spaces
... where A : X −→ Y is a linear and continuous operator between two functional spaces X and Y, with x ∈ X and b ∈ Y. The problem we consider is ill-posed, since its solution is not unique or does not exist for arbitrary ...
26
A nonconforming high-order method for nonlinear poroelasticity
... −∇·σ(·, ∇ s u) + ∇p = f in Ω × (0,t F ), (1a) c 0 ∂ t p + ∂ t ∇·u − ∇·(κ(·)∇p) = g in Ω × (0,t F ), (1b) where ∇ s denotes the symmetric gradient, c 0 ≥ 0 is the constrained specific stor- age coefficient, and κ : ...
9
Acceleration of Newton's method using nonlinear Jacobi preconditioning
... h contains boundary data. To fix the ideas let’s assume that the Dirichlet boundary conditions are imposed. Several space discretization methods provide (possibly under some geometrical condition on the mesh) that the ...
14
Conjugate gradient Mojette reconstruction
... L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignemen[r] ...
9
A Hybrid High-Order method for nonlinear elasticity
... resulting method has several advantageous features: (i) it is valid in arbitrary space dimension; (ii) it supports arbitrary polynomial orders ě 1 on fairly general meshes including, ...of nonlinear ...
30
Extended complexification method to study nonlinear passive control
... Keywords Nonlinear energy sink · Extended complexification method · Passive shunt loudspeaker · Fast/Slow ...perform nonlinear behaviors due to their spacial configurations and/or due to their ...
20
A Gradient-Descent Method for Curve Fitting on Riemannian Manifolds
... optimal curve approaches the best least-squares geodesic fit to the given points. 7 Concluding remarks We have addressed the problem of fitting a curve to data points on a Riemannian manifold M by means of a Palais-based ...
23
Solving linear equations with messenger-field and conjugate gradient techniques: An application to CMB data analysis
... We first compare the convergence of the PCG solver, of the MF iterations without cooling, and of the PCG and MF with the 8 × 5 cooling scheme. The results for the low noise cases are given in Figs. 4 and the high noise ...
24
Analytical method for designing gradient-index fiber probes
... from the measured intensity distribution. Table 1 shows the properties comparison between the test- ing data obtained from Refs. 14 and 15 and the calculation data from the expressions presented above. It is obvious that ...
11
An approximative Newton method for coupled nonlinear systems
... L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignemen[r] ...
14
Entire solutions of fully nonlinear elliptic equations with a superlinear gradient term
... fully nonlinear uniformly elliptic equations with measurable and quadratic terms, Nonlinear ...fully nonlinear uniformly elliptic PDE with unbounded ingredients, Journal of the Mathematical Society ...
23
A Probabilistic Numerical Method for Fully Nonlinear Parabolic PDEs
... regression method with 4 × 4 × 4 × 4 × 10 meshes and three millions particles which, for example, takes 520 seconds for 20 time ...the method was diverging with a thinner time ...
40
Comment on 'Conjugate ESPRIT (C-SPRIT)'
... on which the proposed conjugate ESPRIT is devised. We prove in the following that the two constraints (0.1) are not consistent for one-dimensional signals. In practice, the DOA estimation is made after frequency ...
3
A rigorous phase separation method for testing nonlinear structures
... of nonlinear behavior in dynamic testing, at least in certain regimes of motion, is today a chal- lenge the structural engineer is more and more frequently confronted ...a nonlinear counterpart to ...
18
Development of discontinuous Galerkin method for linear strain gradient elasticity
... • Application of discontinuous Galerkin methods in solid mechanics – Allow weak enforcement of C 0 continuity:. • Non-linear mechanics (Ten Eyck and Lew 2006, Noels and Radovitzky 2006) [r] ...
16
A cut-cell method for adaptive high-order discretizations of conjugate heat transfer problems
... More specifically, the framework is comprised of the following compo- nents: a simplex cut-cell technique that generates multi-regioned meshes decoupled from the desi[r] ...
151
Gradient Flow Approach to the Calculation of Ground States on Nonlinear Quantum Graphs
... a method to compute ground states of nonlinear Schr¨ odinger equations on metric ...the nonlinear Schr¨ odinger energy at fixed mass. Our method is based on a normalized gradient flow ...
30