Results 151 to 160 of about 21,388 (184)

A Reduced Basis Method for Parametrized Variational Inequalities

SIAM Journal on Numerical Analysis, 2012
B. Haasdonk, J. Salomon, B. Wohlmuth
semanticscholar   +3 more sources

A reduced-order variational multiscale interpolating element free Galerkin technique based on proper orthogonal decomposition for solving Navier-Stokes equations coupled with a heat transfer equation: Nonstationary incompressible Boussinesq equations

Journal of Computational Physics, 2020
In the recent decade, meshless methods have been handled for solving some PDEs due to their easiness. One of the most efficient meshless methods is the element free Galerkin (EFG) method. The test and trial functions of the EFG are based upon the special
M. Abbaszadeh, M. Dehghan, Amirreza Khodadadian, N. Noii, C. Heitzinger, T. Wick   +5 more
semanticscholar   +1 more source

A proper orthogonal decomposition variational multiscale meshless interpolating element‐free Galerkin method for incompressible magnetohydrodynamics flow

International Journal for Numerical Methods in Fluids, 2020
In the recent decade, the meshless methods have been handled for solving most of PDEs due to easiness of the meshless methods. One of the popular meshless methods is the element‐free Galerkin (EFG) method that was first proposed for solving some problems
M. Abbaszadeh, M. Dehghan, Ionel M. Navon   +2 more
semanticscholar   +1 more source

Deep learning methods for stochastic Galerkin approximations of elliptic random PDEs

arXiv.org
This work considers stochastic Galerkin approximations of linear elliptic partial differential equations (PDEs) with stochastic forcing terms and stochastic diffusion coefficients, that cannot be bounded uniformly away from zero and infinity.
Fabio Musco, A. Barth
semanticscholar   +1 more source

A Review of Quantum Machine Learning and Quantum-inspired Applied Methods to Computational Fluid Dynamics

Brazilian journal of physics
Computational Fluid Dynamics (CFD) is central to science and engineering, but faces severe scalability challenges, especially in high-dimensional, multiscale, and turbulent regimes. Traditional numerical methods often become prohibitively expensive under
Cesar A. Amaral, V. Oliveira, Juan P. L. C. Salazar, E. I. Duzzioni   +3 more
semanticscholar   +1 more source

Variational method for the existence of weak solutions of boundary value problems of nonlinear elliptic partial differential equations

World Journal of Applied Science & Technology
In this study, we investigate the application of variational methods to establish the existence of weak solutions for boundary value problems (BVPs) associated with nonlinear elliptic partial differential equations (PDEs).
U.A. Otoho, L. I. Igbinosun
semanticscholar   +1 more source

An adaptive meshless technique for solving bilateral obstacle problems

Physica Scripta
Bilateral obstacle problems are central to the study of partial differential equations (PDEs) and variational inequalities, with applications in optimal control, elasticity, and material deformation under constraints.
Zhanheng Chen, Dianjian Ruan, Daming Yuan   +2 more
semanticscholar   +1 more source

Two Efficient Methods For Solving Non-linear Fourth-Order PDEs

, 2020
Huda Omran Altaie
semanticscholar   +1 more source

Weak Galerkin finite element methods for elliptic PDEs

, 2015
Junping Wang, Chunmei Wang
semanticscholar   +1 more source

Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces

MOS-SIAM Series on Optimization, 2011
M. Ulbrich
semanticscholar   +1 more source