Search Results - "Nonlinear multigrid algorithm"

A smooth penalty approach and a nonlinear multigrid algorithm for elliptic MPECs

Authors: Hintermüller, Michael Kopacka, Ian

Source: Computational Optimization and Applications. 50:111-145

Subject Terms: 0211 other engineering and technologies, Constrained optimal control / Elliptic variational inequality / MPEC / Mathematical programs with complementarity constraints / C-stationarity / Nonlinear multigrid, 02 engineering and technology, 0101 mathematics, 01 natural sciences

Access URL: https://unipub.uni-graz.at/obvugroa/content/titleinfo/134559/full.pdf
https://EconPapers.repec.org/RePEc:spr:coopap:v:50:y:2011:i:1:p:111-145
https://doi.org/10.1007/s10589-009-9307-9
https://link.springer.com/article/10.1007/s10589-009-9307-9
https://dblp.uni-trier.de/db/journals/coap/coap50.html#HintermullerK11
https://ideas.repec.org/a/spr/coopap/v50y2011i1p111-145.html
http://unipub.uni-graz.at/doi/doi:10.1007/s10589-009-9307-9

On a nonlinear multigrid algorithm with primal relaxation for the image total variation minimisation

Authors: Chan, Tony F. Chen, Ke

Source: Numerical Algorithms. 41:387-411

Subject Terms: Image restoration, Nonlinear solvers, Total variation, 0101 mathematics, Primal relaxation, 01 natural sciences, Regularisation

Access URL: http://repository.ust.hk/ir/Record/1783.1-48516
https://research.kaust.edu.sa/en/publications/on-a-nonlinear-multigrid-algorithm-with-primal-relaxation-for-the
https://link.springer.com/article/10.1007%2Fs11075-006-9020-z
https://dialnet.unirioja.es/servlet/articulo?codigo=2069996
https://dblp.uni-trier.de/db/journals/na/na41.html#ChanC06
https://link.springer.com/content/pdf/10.1007%2Fs11075-006-9020-z.pdf

Solution of a rotating Navier-Stokes problem by a nonlinear multigrid algorithm: Solution of rotating Navier-Stokes problem by a nonlinear multigrid algorithm

Authors: Guy Lonsdale

Source: Journal of Computational Physics. 74:177-190

Subject Terms: sequences of nonuniform, staggered grids, Gas dynamics (general theory), Basic methods in fluid mechanics, General theory of rotating fluids, continuity equations, linear solver, 01 natural sciences, pressure correction iteration, rotating cylindrical-polar coordinate system, laminar source-sink flow, full approximation scheme, 0103 physical sciences, extended pressure correction scheme, nonlinear multigrid algorithm, incompressible steady-state Navier-Stokes equations, 0101 mathematics

File Description: application/xml

Access URL: https://www.sciencedirect.com/science/article/pii/0021999188900757
http://www.sciencedirect.com/science/article/pii/0021999188900757
http://ui.adsabs.harvard.edu/abs/1988JCoPh..74..177L/abstract

A nonlinear multigrid algorithm and boundary-fitted coordinates for the solution of a two-dimensional flow in a branching channel

Authors: G. Lonsdale D. M. Sloan J.S Bramley

Source: Journal of Computational Physics. 78:1-14

Subject Terms: numerical solution, two-dimensional flow, 0103 physical sciences, grid generation algorithm, upwind finite difference scheme, Basic methods in fluid mechanics, nonlinear multigrid algorithm, Boundary-layer theory, separation and reattachment, higher-order effects, Navier-Stokes equations, 0101 mathematics, branching channel, 01 natural sciences, viscous, incompressible fluid

File Description: application/xml

Access URL: http://ui.adsabs.harvard.edu/abs/1988JCoPh..78....1L/abstract
https://www.sciencedirect.com/science/article/pii/0021999188900344#!
https://www.sciencedirect.com/science/article/pii/0021999188900344

Computational Optimization and Applications / A smooth penalty approach and a nonlinear multigrid algorithm for elliptic MPECs

Authors: Hintermüller, Michael Kopacka, Ian

Index Terms: Constrained optimal control, Elliptic variational inequality, MPEC, Mathematical programs with complementarity constraints, C-stationarity, Nonlinear multigrid, Text, Article

URL: vignette : https://unipub.uni-graz.at/titlepage/urn/urn:nbn:at:at-ubg:3-1043/128
vignette : https://unipub.uni-graz.at/titlepage/doi/doi:10.1007/s10589-009-9307-9/128
1573-2894

On the convergence of the nonlinear multigrid algorithm for potential operators

Authors: S. Hengst G. Telschow

Source: Multigrid Methods III ISBN: 9783034857147

Access URL: https://link.springer.com/chapter/10.1007/978-3-0348-5712-3_16
https://rd.springer.com/chapter/10.1007/978-3-0348-5712-3_16
https://link.springer.com/content/pdf/10.1007%2F978-3-0348-5712-3_16.pdf

A diagonal implicit/nonlinear multigrid algorithm for computing hypersonic, chemically-reacting viscous flows

Authors: J. Edwards

Source: 32nd Aerospace Sciences Meeting and Exhibit.

Subject Terms: 0203 mechanical engineering, 0103 physical sciences, 02 engineering and technology, 01 natural sciences

Access URL: http://arc.aiaa.org/doi/pdf/10.2514/6.1994-762

A Multigrid Algorithm for the p-Laplacian: A multigrid algorithm for the \(p\)-Laplacian

Authors: Juan-Antonio Infante Rodolfo Bermejo

Source: SIAM Journal on Scientific Computing. 21:1774-1789

Subject Terms: Iterative numerical methods for linear systems, numerical examples, Multigrid methods, domain decomposition for boundary value problems involving PDEs, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, \(p\)-Laplacian, Polak-Ribiere conjugate gradient method, 01 natural sciences, nonlinear monotone operators, finite elements, local convergence, nonlinear multigrid algorithm, 0101 mathematics, Dirichlet problem

File Description: application/xml

Access URL: https://zbmath.org/1519795
https://doi.org/10.1137/s1064827598339098
https://dblp.uni-trier.de/db/journals/siamsc/siamsc21.html#BermejoI00
https://eprints.ucm.es/id/eprint/23311/
https://epubs.siam.org/doi/abs/10.1137/S1064827598339098
https://doi.org/10.1137/S1064827598339098

On a nonlinear multigrid algorithm with primal relaxation for the image total variation minimisation.

Authors: Tony Chan Ke Chen

Source: Numerical Algorithms; Apr2006, Vol. 41 Issue 4, p387-411, 25p

A smooth penalty approach and a nonlinear multigrid algorithm for elliptic MPECs.

Authors: Hintermüller, M. Kopacka, I.

Source: Computational Optimization & Applications; Sep2011, Vol. 50 Issue 1, p111-145, 35p, 4 Diagrams, 4 Charts, 8 Graphs

Subject Terms: VARIATIONAL inequalities (Mathematics), MULTIGRID methods (Numerical analysis), ALGORITHMS, EQUALITY, STOCHASTIC convergence

The convergence of the multigrid algorithm for Navier-Stokes equations

Authors: Chen, Zhangxing Li, Kaitai

Subject Terms: convergence, Error bounds for boundary value problems involving PDEs, Sobolev spaces, Navier-Stokes equations for incompressible viscous fluids, smoothing properties, nonlinear multigrid algorithm, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, approximation, Stokes and related (Oseen, etc.) flows

File Description: application/xml

Access URL: https://zbmath.org/4037428

Influence of thermochemical non-equilibrium effects on non-uniform entrance scramjet nozzle.

Authors: Wang, Jinping Zhuo, Changfei Ren, Xiaobin

Source: Journal of Physics: Conference Series; 2024, Vol. 2746 Issue 1, p1-6, 6p

Minimal and maximal solution maps of elliptic QVIs of obstacle type: Lipschitz stability, differentiability, and optimal control.

Authors: Alphonse, Amal Hintermüller, Michael Rautenberg, Carlos N. et al.

Source: Interfaces & Free Boundaries; 2025, Vol. 27 Issue 4, p521-573, 53p

Subject Terms: VARIATIONAL inequalities (Mathematics), OPTIMAL control theory, LIPSCHITZ continuity, DISCRETIZATION methods, DIFFERENTIABLE functions, MATHEMATICAL regularization, OPERATOR equations

Subdifferentials and Penalty Approximations of the Obstacle Problem.

Authors: Alphonse, Amal Wachsmuth, Gerd

Source: SIAM Journal on Optimization; 2025, Vol. 35 Issue 3, p2017-2039, 23p

Subject Terms: SUBDIFFERENTIALS, OPTIMAL control theory, MATHEMATICAL regularization, FUNCTIONAL analysis, NONLINEAR boundary value problems

Thin-film electrodes for high-capacity lithium-ion batteries: influence of phase transformations on stress.

Authors: Meca, Esteban Münch, Andreas Wagner, Barbar

Source: Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences; Sep2016, Vol. 472 Issue 2193, p1-15, 15p

Subject Terms: PHASE separation, LITHIUM-ion batteries, STRAIN energy, THIN films, LITHIATION, AMORPHOUS silicon

COAP 2011 Best Paper Award.

Source: Computational Optimization & Applications; Dec2012, Vol. 53 Issue 3, p933-936, 4p

Subject Terms: PUBLISHED articles, FUNCTION spaces, MATHEMATICAL programming, AWARDS

Nonlinear multigrid for the solution of large-scale Riccati equations in low-rank and ℋ-matrix format.

Authors: Grasedyck, L.

Source: Numerical Linear Algebra with Applications; Nov2008, Vol. 15 Issue 9, p779-807, 29p, 6 Diagrams, 7 Charts, 2 Graphs

Subject Terms: RICCATI equation, APPROXIMATION theory, MATRICES (Mathematics), ALGORITHMS, DIFFERENTIAL equations, MULTILEVEL models

Numerical investigation of thermochemical non-equilibrium effects in Mach 10 scramjet nozzle.

Source: Aeronautical Journal; Nov2024, Vol. 128 Issue 1329, p1-18, 18p

A FULL APPROXIMATION SCHEME MULTILEVEL METHOD FOR NONLINEAR VARIATIONAL INEQUALITIES.

Authors: BUELER, ED FARRELL, PATRICK E.

Source: SIAM Journal on Scientific Computing; 2024, Vol. 46 Issue 4, pA2421-A2444, 24p

Subject Terms: PARTIAL differential equations, NONLINEAR differential equations, DIFFERENTIAL operators, NEWTON-Raphson method, MULTIGRID methods (Numerical analysis)

Fast Multi-Grid Methods for Minimizing Curvature Energies.

Authors: Zhang, Zhenwei Chen, Ke Tang, Ke et al.

Source: IEEE Transactions on Image Processing; 2023, Vol. 32, p1716-1731, 16p

Subject Terms: DOMAIN decomposition methods, GAUSSIAN curvature, IMAGE denoising, IMAGE reconstruction, IMAGE processing