Model order reduction in fluid dynamics: challenges and perspectives
This chapter reviews techniques of model reduction of fluid dynamics systems. Fluid systems
are known to be difficult to reduce efficiently due to several reasons. First of all, they exhibit …
are known to be difficult to reduce efficiently due to several reasons. First of all, they exhibit …
An overview of the discontinuous Petrov Galerkin method
LF Demkowicz, J Gopalakrishnan - Recent Developments in …, 2014 - Springer
An Overview of the Discontinuous Petrov Galerkin Method | SpringerLink Skip to main content
Advertisement SpringerLink Account Menu Find a journal Publish with us Track your research …
Advertisement SpringerLink Account Menu Find a journal Publish with us Track your research …
Generalized multiscale finite element methods (GMsFEM)
In this paper, we propose a general approach called Generalized Multiscale Finite Element
Method (GMsFEM) for performing multiscale simulations for problems without scale …
Method (GMsFEM) for performing multiscale simulations for problems without scale …
[图书][B] Numerical models for differential problems
A Quarteroni, S Quarteroni - 2009 - Springer
Alfio Quarteroni Third Edition Page 1 MS&A – Modeling, Simulation and Applications 16
Numerical Models for Di erential Problems Alfio Quarteroni Third Edition Page 2 MS&A Volume …
Numerical Models for Di erential Problems Alfio Quarteroni Third Edition Page 2 MS&A Volume …
Breaking spaces and forms for the DPG method and applications including Maxwell equations
C Carstensen, L Demkowicz… - Computers & Mathematics …, 2016 - Elsevier
Abstract Discontinuous Petrov–Galerkin (DPG) methods are made easily implementable
using “broken” test spaces, ie, spaces of functions with no continuity constraints across mesh …
using “broken” test spaces, ie, spaces of functions with no continuity constraints across mesh …
An analysis of the practical DPG method
J Gopalakrishnan, W Qiu - Mathematics of Computation, 2014 - ams.org
We give a complete error analysis of the Discontinuous Petrov Galerkin (DPG) method,
accounting for all the approximations made in its practical implementation. Specifically, we …
accounting for all the approximations made in its practical implementation. Specifically, we …
Adaptive Petrov--Galerkin methods for first order transport equations
We propose stable variational formulations for certain linear, unsymmetric operators with first
order transport equations in bounded domains serving as the primary focus of this paper …
order transport equations in bounded domains serving as the primary focus of this paper …
High-order implicit hybridizable discontinuous Galerkin methods for acoustics and elastodynamics
We present a class of hybridizable discontinuous Galerkin (HDG) methods for the numerical
simulation of wave phenomena in acoustics and elastodynamics. The methods are fully …
simulation of wave phenomena in acoustics and elastodynamics. The methods are fully …
A class of discontinuous Petrov–Galerkin methods. Part IV: The optimal test norm and time-harmonic wave propagation in 1D
The phase error, or the pollution effect in the finite element solution of wave propagation
problems, is a well known phenomenon that must be confronted when solving problems in …
problems, is a well known phenomenon that must be confronted when solving problems in …
Adaptivity and variational stabilization for convection-diffusion equations∗
In this paper we propose and analyze stable variational formulations for convection diffusion
problems starting from concepts introduced by Sangalli. We derive efficient and reliable a …
problems starting from concepts introduced by Sangalli. We derive efficient and reliable a …