Results 11 to 20 of about 91,586,058 (209)

Abstract robust coarse spaces for systems of PDEs via generalized eigenproblems in the overlaps [PDF]

open access: yes, 2013
Coarse spaces are instrumental in obtaining scalability for domain decomposition methods for partial differential equations (PDEs). However, it is known that most popular choices of coarse spaces perform rather weakly in the presence of heterogeneities ...
Dolean Maini, Victorita   +5 more
core   +4 more sources

Local Fuzzy Fractional Partial Differential Equations in the Realm of Fractal Calculus with Local Fractional Derivatives

open access: yesFractal and Fractional, 2023
In this study, local fuzzy fractional partial differential equations (LFFPDEs) are considered using a hybrid local fuzzy fractional approach. Fractal model behavior can be represented using fuzzy partial differential equations (PDEs) with local ...
Mawia Osman   +6 more
doaj   +1 more source

Nonlocal Operator Method for Solving Partial Differential Equations: State-of-the-Art Review and Future Perspectives

open access: yesJournal of Advanced Engineering and Computation, 2022
The nonlocal operator method (NOM) is based on nonlocal theory and employs nonlocal operators of integral form to replace the local partial differential operators.
Yongzheng Zhang   +2 more
doaj   +1 more source

New Perspective on the Conventional Solutions of the Nonlinear Time-Fractional Partial Differential Equations

open access: yesComplexity, 2020
The role of integer and noninteger order partial differential equations (PDE) is essential in applied sciences and engineering. Exact solutions of these equations are sometimes difficult to find.
Hijaz Ahmad   +4 more
doaj   +1 more source

Variational Integrators [PDF]

open access: yes, 2004
Variational integrators are a class of discretizations for mechanical systems which are derived by discretizing Hamilton's principle of stationary action.
West, Matthew
core   +1 more source

An introduction to variational methods [PDF]

open access: yes, 2023
In this talk, we will introduce the variational approach to the study of equations. To get started, we will review the spectral theory of symmetric real matrices and the min-max principle for eigenvalues.
Galant, Damien
core   +1 more source

Variational Methods for Nonsmooth Mechanics [PDF]

open access: yes, 2003
In this thesis we investigate nonsmooth classical and continuum mechanics and its discretizations by means of variational numerical and geometric methods.
Fetecau, Razvan Constantin
core   +1 more source

Variational Time Integrators in Computational Solid Mechanics [PDF]

open access: yes, 2003
This thesis develops the theory and implementation of variational integrators for computational solid mechanics problems, and to some extent, for fluid mechanics problems as well.
Lew, Adrián José
core   +1 more source

Stochastic PDEs with multiscale structure [PDF]

open access: yes, 2012
We study the spatial homogenisation of parabolic linear stochastic PDEs exhibiting a two-scale structure both at the level of the linear operator and at the level of the Gaussian driving noise.
Martin Hairer   +4 more
core   +1 more source

Geometric Discretization of Lagrangian Mechanics and Field Theories [PDF]

open access: yes, 2009
This thesis presents a unified framework for geometric discretization of highly oscillatory mechanics and classical field theories, based on Lagrangian variational principles and discrete differential forms. For highly oscillatory problems in mechanics,
Stern, Ari Joshua
core   +1 more source

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