Results 201 to 210 of about 702,196 (224)

Galerkin projections and the proper orthogonal decomposition for equivariant equations

Physics Letters A, 1993
Abstract In this paper we are interested in Galerkin projections of certain partial differential evolution equations, that retain the symmetries of the original nontruncated equations. In particular, we extend several results concerning the Galerkin projections, based on the proper orthogonal decomposition (which is also known as the Karhunen-Loeve ...
Gal Berkooz, Edriss S. Titi
openaire   +1 more source

Trajectory generation for quadrotors using Galerkin projection and fuzzy inference

2016 35th Chinese Control Conference (CCC), 2016
This paper studies the trajectory generation problem for quadrotors. The quadrotor is an excellent vehicle for internal surveillance, search and remote inspection. Bezier polynomials are used to parameterize the states, inputs and performance index. The trajectory generation problem is formulated as a quadratic programming (QP) problem.
Yuan-yuan Tian, Huai-Ning Wu, Shuang Feng   +2 more
openaire   +1 more source

Galerkin Projections Between Finite Element Spaces

2015
Adaptive mesh refinement schemes are used to find accurate low-dimensional approximating spaces when solving elliptic PDEs with Galerkin finite element methods. For nonlinear PDEs, solving the nonlinear problem with Newton's method requires an initial guess of the solution on a refined space, which can be found by interpolating the solution from a ...
openaire   +1 more source

Reliability function determination of nonlinear oscillators under evolutionary stochastic excitation via a Galerkin projection technique

Nonlinear dynamics, 2018
H. Vanvinckenroye, I. Kougioumtzoglou, V. Denoël   +2 more
semanticscholar   +1 more source

Generalized projection-based error analysis of hybridizable discontinuous Galerkin methods

2020
For some hybridizable discontinuous Galerkin (HDG) methods, suitably devised projections make their analyses simple and concise. However, devising these projections is usually difficult and many important HDG methods still lack their corresponding projections; consequently, their analyses become cumbersome.
openaire   +2 more sources

Model reduction for supersonic cavity flow using proper orthogonal decomposition (POD) and Galerkin projection

, 2017
Chao Zhang, Z. Wan, De-Jun Sun
semanticscholar   +1 more source

Domain Decomposition in POD-Galerkin Projection for Flows with Moving Boundary

, 2016
Haotian Gao, M. Wei
semanticscholar   +1 more source

An Error Analysis of Galerkin Projection Methods for Linear Systems with Tensor Product Structure

SIAM Journal on Numerical Analysis, 2013
B. Beckermann, D. Kressner, C. Tobler
semanticscholar   +1 more source

Efficient non‐linear model reduction via a least‐squares Petrov–Galerkin projection and compressive tensor approximations

, 2011
K. Carlberg, Charbel Bou-Mosleh, C. Farhat   +2 more
semanticscholar   +1 more source

On the Stability of Reduced-Order Linearized Computational Fluid Dynamics Models Based on POD and Galerkin Projection: Descriptor vs Non-Descriptor Forms

, 2014
D. Amsallem, C. Farhat
semanticscholar   +1 more source