Global Graph Surrogates and Neural Graph Elements for Computational Mechanics
ABSTRACT Machine learning surrogates are increasingly used to accelerate physics‐based simulations by predicting full‐field responses at a fraction of the computational cost. In this contribution, we present two complementary graph‐based approaches for surrogate modelling in computational mechanics.
Rutwik Gulakala, Marcus Stoffel
wiley +1 more source
In this papre the chaos in the application of Newton Raphson method to solving the nonlinear algebraic equation arising from computational kinematics is studied. With the analysis of iteration function, the mechanism of obtaining all solutions by Newton
谢进, 陈永
doaj
Improving the Accuracy of the Fast Inverse Square Root by Modifying Newton-Raphson Corrections. [PDF]
Walczyk CJ, Moroz LV, Cieśliński JL.
europepmc +1 more source
Reconfigurable Computing in Neural Network‐Enhanced Finite Element Analysis in Structural Dynamics
ABSTRACT In the present study, artificial neural networks (ANNs) trigger a better physically plausible initial guess in the Newton–Raphson scheme of an implicit material integration scheme of rate‐dependent viscoplastic dynamic response of plate structures in an in‐house finite element (FE) solver.
Vasileios Polydoras +2 more
wiley +1 more source
ABSTRACT The paper deals with the simulation of porous journal bearings by solving the Reynolds and Darcy equations in conjunction with the continuity equation. To find the solution, the solution domain is discretized using the finite volume method.
Laurenz Stellmach +2 more
wiley +1 more source
Comparativo entre os métodos de Newton-Raphson e das raízes múltiplas no cálculo de raízes de funções [PDF]
Artigo AcadêmicoNão possuiÉ comum surgir em diversas ciências problemas que exijam a obtenção de raízes de funções ou suas aproximações. Assim, esse trabalho visa estudar e comparar dois dos métodos numéricos conhecidos para obtenção dessas raízes de ...
Souza, Quézia Emanuelly de Oliveira
core
A Hybrid Newton-Raphson and Particle Swarm Optimization Method for Target Motion Analysis by Batch Processing. [PDF]
Oh R, Shi Y, Choi JW.
europepmc +1 more source
Shooting Methods for Boundary Value Problems of Fractional Differential Equations
ABSTRACT We consider two‐point boundary value problems of fractional differential equations (FDEs) including a Caputo derivative with a fractional order in the range (0,1) or (1,2). The numerical solution of a boundary value problem is investigated using shooting methods.
Roland Pulch, Abhishek Kumar Singh
wiley +1 more source
SOLUSI NUMERIK PERSAMAAN NON-LINIER DENGAN MENGGUNAKAN METODE NEWTON-RAPHSON MODIFIKASI FUZZY [PDF]
Persamaan non-linear merupakan salah satu kajian dalam ilmu matematika. Beberapa metode numerik telah dikembangkan untuk menyelesaikan persamaan non linear. Metode yang digunakan pada penelitian ini adalah metode Newton Raphson Modifikasi Fuzzy.
Wulan, Elis Ratna +2 more
core +2 more sources
A Coupled FE‐FFT Multiscale Framework for Heterogeneous Porous Materials Using preCICE
ABSTRACT This work presents a coupled finite element–fast Fourier transform (FE–FFT) multiscale framework for the simulation of heterogeneous and graded porous materials. The macroscopic boundary value problem is solved with the finite element (FE) method in Julia using Ferrite.jl, while the microscopic response of periodic unit cells is obtained from ...
Julian Dahler +2 more
wiley +1 more source

