Search Results - Multigrid preconditions conjugate gradient algorithm

An efficient isogeometric topology optimization based on the adaptive damped geometric multigrid method.

Authors: Luo, Shijie Yang, Feng Wang, Yingjun

Source: Advances in Engineering Software (1992). Oct2024, Vol. 196, pN.PAG-N.PAG. 1p.

Subject Terms: *CONJUGATE gradient methods, *LINEAR equations, *TOPOLOGY, *EIGENVALUES, *MULTIGRID methods (Numerical analysis)

A Parallel Aggregation Algorithm for Inter-Grid Transfer Operators in Algebraic Multigrid

Authors: Garcia Hilares, Nilton Alan

Index Terms: Algebraic multigrid, Aggregation, Maximal independent set, Poisson's equation, Thesis

URL: http://hdl.handle.net/10919/94618

MULTIGRID ALGORITHMS FOR INVERSE PROBLEMS WITH LINEAR PARABOLIC PDE CONSTRAINTS.

Authors: Adavani, Santi S. Biros, George

Source: SIAM Journal on Scientific Computing. 2009, Vol. 31 Issue 1, p369-397. 29p. 12 Charts, 9 Graphs.

Subject Terms: *ALGORITHMS, *DIFFERENTIAL equations, *PARTIAL differential equations, *PARABOLIC differential equations, *NAVIER-Stokes equations

Multigrid algorithms for inverse problems with linear parabolic PDE constraints

Authors: Santi S. Adavani George Biros The Pennsylvania State University CiteSeerX Archives

Contributors: Santi S. Adavani George Biros The Pennsylvania State University CiteSeerX Archives

Source: http://www.seas.upenn.edu/~biros/papers/h1dinv.pdf.

File Description: application/pdf

Relation: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.136.2682; http://www.seas.upenn.edu/~biros/papers/h1dinv.pdf

Availability: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.136.2682
http://www.seas.upenn.edu/~biros/papers/h1dinv.pdf

Use of General Purpose Graphics Processing Units with MODFLOW.

Authors: Hughes, Joseph D. White, Jeremy T.

Source: Ground Water; Nov2013, Vol. 51 Issue 6, p833-846, 14p

Subject Terms: GRAPHICS processing units, CONJUGATE gradient methods, FACTORIZATION, QUANTUM mechanics, ITERATIVE methods (Mathematics), GROUNDWATER management

An analysis of diagonal and incomplete Cholesky preconditioners for singularly perturbed problems on layer-adapted meshes.

Authors: Nhan, Thái Anh Madden, Niall

Source: Journal of Applied Mathematics & Computing; 2021, Vol. 65 Issue 1/2, p245-272, 28p

Fast Algorithms for Source Identification Problems with Elliptic PDE Constraints.

Authors: Adavani, Santi S. Biros, George

Source: SIAM Journal on Imaging Sciences; 2010, Vol. 3 Issue 4, p791-808, 18p, 1 Diagram, 10 Charts, 17 Graphs

Subject Terms: ALGORITHMS, DIFFERENTIAL equations, IDENTIFICATION, STOCHASTIC convergence, SMOOTHNESS of functions

Stimulus Protocol Determines the Most Computationally Efficient Preconditioner for the Bidomain Equations.

Authors: Bernabeu, Miguel O. Pathmanathan, Pras Pitt-Francis, Joe et al.

Source: IEEE Transactions on Biomedical Engineering; 12/01/2010, Vol. 57 Issue 12, p2806-2815, 10p

Subject Terms: ELECTROPHYSIOLOGY, FINITE element method, ALGORITHMS, ELECTRIC shock, MATHEMATICAL models, GEOMETRIC analysis, STOCHASTIC convergence

Cosine Transform Based Preconditioners for Total Variation Deblurring.

Authors: Chan, Raymond H. Chan, Tony F.

Source: IEEE Transactions on Image Processing; Oct99, Vol. 8 Issue 10, p1472, 7p, 10 Black and White Photographs, 4 Charts

Subject Terms: CONJUGATE gradient methods, LARGE scale systems

PARALLEL ENERGY-MINIMIZATION PROLONGATION FOR ALGEBRAIC MULTIGRID.

Authors: JANNA, CARLO FRANCESCHINI, ANDREA SCHRODER, JACOB B. et al.

Source: SIAM Journal on Scientific Computing; 2023, Vol. 45 Issue 5, pA2561-A2584, 24p

Subject Terms: CONJUGATE gradient methods, PARTIAL differential equations, PARALLEL algorithms, LINEAR systems, LINEAR equations

A NEW PRECONDITIONED NONLINEAR CONJUGATE GRADIENT METHOD IN REAL ARITHMETIC FOR COMPUTING THE GROUND STATES OF ROTATIONAL BOSE EINSTEIN CONDENSATE.

Authors: TIANQI ZHANG FEI XUE

Source: SIAM Journal on Scientific Computing; 2024, Vol. 46 Issue 3, pA1764-A1792, 29p

Subject Terms: CONJUGATE gradient methods, BOSE-Einstein condensation, ARITHMETIC, FINITE differences

Multi-GPU Acceleration for Finite Element Analysis in Structural Mechanics.

Authors: Herrero-Pérez, David Martínez-Barberá, Humberto

Source: Applied Sciences (2076-3417); Feb2025, Vol. 15 Issue 3, p1095, 21p

Subject Terms: STRUCTURAL mechanics, FINITE element method, SCIENTIFIC computing, ACCELERATION (Mechanics), SCALABILITY

Multigrid Algorithms for Inverse Problems with Linear Parabolic PDE Constraints

Authors: Adavani, Santi S Biros, George

Source: 164 ; Departmental Papers (MEAM) ; true ; published

Subject Terms: inverse problems, heat equation, reaction-diffusion equations, multigrid, regularization

File Description: application/pdf

Relation: https://repository.upenn.edu/handle/20.500.14332/39874

Availability: https://repository.upenn.edu/handle/20.500.14332/39874
https://hdl.handle.net/20.500.14332/39874

High-performance conjugate-gradient benchmark: A new metric for ranking high-performance computing systems.

Authors: Dongarra, Jack Heroux, Michael A. Luszczek, Piotr

Source: International Journal of High Performance Computing Applications; Spring2016, Vol. 30 Issue 1, p3-10, 8p

Subject Terms: COMPUTER systems, CONJUGATE gradient methods, MULTIGRID methods (Numerical analysis), ELECTRONIC systems, COMPUTERS

PinT PRECONDITIONER FOR FORWARD-BACKWARD EVOLUTIONARY EQUATIONS.

Authors: SHU-LIN WI ZHIYONG WANG TAO ZHOU

Source: SIAM Journal on Matrix Analysis & Applications; 2023, Vol. 44 Issue 4, p1771-1798, 28p

Subject Terms: EVOLUTION equations, TOEPLITZ matrices, LINEAR systems, CONJUGATE gradient methods, OPTIMAL control theory

A sine transform based preconditioned MINRES method for all-at-once systems from constant and variable-coefficient evolutionary PDEs.

Authors: Hon, Sean Fung, Po Yin Dong, Jiamei et al.

Source: Numerical Algorithms; Apr2024, Vol. 95 Issue 4, p1769-1799, 31p

Subject Terms: CONJUGATE gradient methods, KRYLOV subspace, PARTIAL differential equations, LINEAR systems, EIGENVALUES

PRECONDITIONED LOW-RANK RIEMANNIAN OPTIMIZATION FOR SYMMETRIC POSITIVE DEFINITE LINEAR MATRIX EQUATIONS.

Authors: BIOLI, IVAN KRESSNER, DANIEL ROBOL, LEONARDO

Source: SIAM Journal on Scientific Computing; 2025, Vol. 47 Issue 2, pA1091-A1116, 26p

Subject Terms: MATHEMATICAL optimization, RIEMANNIAN geometry, ITERATIVE methods (Mathematics), SYMMETRIC matrices, NUMERICAL solutions to equations, ALGEBRAIC equations, PARTIAL differential equations

Sawtooth cycle revisited.

Authors: Tsuruga, Junki Iwasaki, Kei

Source: Computer Animation & Virtual Worlds; May-Aug2018, Vol. 29 Issue 3/4, p1-N.PAG, 11p

Subject Terms: CONJUGATE gradient methods, POISSON processes, MULTIGRID methods (Numerical analysis), FLOW simulations, STOCHASTIC convergence

swParaFEM: a highly efficient parallel finite element solver on Sunway many-core architecture.

Authors: Pan, Jingshan Xiao, Lei Tian, Min et al.

Source: Journal of Supercomputing; Jul2023, Vol. 79 Issue 10, p11427-11451, 25p

Subject Terms: STRUCTURAL mechanics, COMPUTATIONAL mechanics, PARALLEL algorithms, SUPERCOMPUTERS

Two‐level preconditioning for Ridge Regression.

Authors: Tavernier, Joris Simm, Jaak Meerbergen, Karl et al.

Source: Numerical Linear Algebra with Applications; Aug2021, Vol. 28 Issue 4, p1-19, 19p

Subject Terms: CONJUGATE gradient methods, LINEAR systems, SUPPORT vector machines, COVARIANCE matrices, MACHINE learning, MULTICOLLINEARITY