A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf.
Filters
Locally Conservative Fluxes for the Continuous Galerkin Method
2007
SIAM Journal on Numerical Analysis
Preserved Fulltext
The standard continuous Galerkin (CG) finite element method for second order elliptic problems suffers from its inability to provide conservative flux approximations, a much needed quantity in many applications ...
This leads to a conservative flux approximation with continuous normal components. This postprocessing applies for the CG method in its standard form or for a hybridized version of it. ...
The authors would like to thank the reviewers for bringing to their attention the papers [7] and [26] . They would also like to thank Clint Dawson and Graham F. ...
doi:10.1137/060666305
fatcat:6kdgxhx3r5hc3fs327lghp5lkq
Page 88 of American Society of Civil Engineers. Collected Journals Vol. 128, Issue 1
[page]
2002
American Society of Civil Engineers. Collected Journals
Preserved Fulltext
The Internet Archive has digitized a microfilm copy of this work. It may be possible to borrow a copy for reading.
To “check” for local mass conservation, the individual face fluxes are summed and compared to the internal sources. ...
Thus, intuitively, mass is “‘conserved” in some local sense for the discrete equations. ...
Partitions for Spectral (Finite) Volume Reconstruction in the Tetrahedron
2005
Journal of Scientific Computing
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2005; you can also visit the original URL.
The file type is application/pdf.
Numerical modeling of multi-phase flow in heterogeneous anisotropic porous media with locally conservative flux continuous schemes such as the multi-point flux methods, mixed finite volume methods, mixed ...
Numerical solutions to conservation laws using high order methods such as spectral element methods, finite element discontinuous Galerkin methods, ENO/WENO Methods, and spectral volume methods. ...
Society for Industrial and Applied Mathematics. ...
doi:10.1007/s10915-005-9009-0
fatcat:sg23yf6r5nb4dagwoymetaztq4
On Application of the Weak Galerkin Finite Element Method to a Two-Phase Model for Subsurface Flow
2015
Journal of Scientific Computing
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2016; you can also visit the original URL.
The file type is application/pdf.
The numerical velocity obtained from solving the Darcy equation by the WGFEM is locally conservative and has continuous normal components across element interfaces. ...
This paper presents studies on applying the novel weak Galerkin finite element method (WGFEM) to a two-phase model for subsurface flow, which couples the Darcy equation for pressure and a transport equation ...
These two test examples confirm the merit of a locally conservative flux with continuous normal component that is obtained from using the weak Galerkin finite element method. modeling. ...
doi:10.1007/s10915-015-0021-8
fatcat:ap25wthkqran5h2drdkxbedaje
A Conservative DGM for Convection-Diffusion and Navier-Stokes Problems
[chapter]
2000
Lecture Notes in Computational Science and Engineering
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf.
The variational formulation for diffusion terms produces a compact, locally conservative, higher-order accurate, and stable solver. ...
An hp-adaptive con~ervative Discontinuous Galerkin Method for the solution of convection-diffusion problems is reviewed. ...
Acknowledgement The support of this work by the Army Research Office under grant DAAH04-96-0062 is gratefully acknowledged. ...
doi:10.1007/978-3-642-59721-3_13
fatcat:42by7ntfxvgvpm2o5ihwrqelcq
Energy Stable and Momentum Conserving Hybrid Finite Element Method for the Incompressible Navier–Stokes Equations
2012
SIAM Journal on Scientific Computing
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf.
Other Versions
Using continuous Lagrange multiplier spaces to enforce flux continuity across cell facets, the number of global degrees of freedom is the same as for a continuous Galerkin method on the same mesh. ...
Mass conservation, momentum conservation and global energy stability are proved for the time-continuous case, and for a fully discrete scheme. ...
Local momentum conservation is in terms the numerical fluxσ h , as is a typical feature of discontinuous Galerkin methods. ...
doi:10.1137/100818583
fatcat:jzc6hec255eozadcowzq4nqzmi
A note on the least squares solution of the groundwater flow equation
1994
Numerical Methods for Partial Differential Equations
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2013; you can also visit the original URL.
The file type is application/pdf.
The least squares finite element method is a member of the weighted residuals class of numerical methods for solving partial differential equations. ...
Solutions for problems containing parameters with large localized spatial gradients are characterized by errors that are propagated throughout the entire domain. ...
The existence of large local gradients in parameter values leads to interelement interface problems, which are manifested as errors in the heads, flux, and local conservation of mass throughout the entire ...
doi:10.1002/num.1690100408
fatcat:nyitiwdexfcrritjo567mbwgta
DarcyLite: A Matlab Toolbox for Darcy Flow Computation
2016
Procedia Computer Science
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is application/pdf.
Specifically, four major types of finite element solvers, the continuous Galerkin (CG), the discontinuous Galerkin (DG), the weak Galerkin (WG), and the mixed finite element methods (MFEM), are examined ...
This paper focuses on the finite element (FE) methods and the corresponding code modules in DarcyLite for solving the Darcy equation. ...
element; (4) Local-mass-conservation residual on each element if a FE solver is not locally conservative; (5) Normal flux discrepancy across each interior edge if the normal fluxes are not continuous. ...
doi:10.1016/j.procs.2016.05.485
fatcat:my5fulzklnfwnfrggv67f34qwe
Page 2760 of Mathematical Reviews Vol. , Issue 2002D
[page]
2002
Mathematical Reviews
Preserved Fulltext
The Internet Archive has digitized a microfilm copy of this work. It may be possible to borrow a copy for reading.
An advantage ascribed to the DGM is the local flux conservation property. ...
First, error estimates for stabilized discontinuous Galerkin methods (SDGMs) are presented. Then, conservation laws are discussed for the DGM and CGM. ...
High-Order Finite Element Methods for Parallel Atmospheric Modeling
[chapter]
2005
Lecture Notes in Computer Science
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is application/pdf.
High-order finite element methods for the atmospheric shallow water equations are reviewed. ...
The accuracy and efficiency of nodal continuous and discontinuous Galerkin spectral elements are evaluated using the standard test problems proposed by Williamson et al (1992) . ...
NCAR is supported by the National Science Foundation. ...
doi:10.1007/11428831_32
fatcat:alahj7kmfreilghz5qxaickbla
ON OPEN BOUNDARIES IN THE FINITE ELEMENT APPROXIMATION OF TWO-DIMENSIONAL ADVECTION-DIFFUSION FLOWS
1997
International Journal for Numerical Methods in Engineering
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf.
Essentially, the space-time Crank-Nicolson-Galerkin formulation scheme was used to solve for a given conservative flow-field. ...
With the proper choice of boundary conditions, the steady-state Galerkin and the transient Crank-Nicolson-Galerkin finite element schemes gave stable and precise results for advectiondominated transport ...
ACKNOWLEDGEMENTS The authors are grateful to A. Khelifa, P. Boudreau and J.-L. Robert for their help and comments. ...
doi:10.1002/(sici)1097-0207(19970715)40:13<2493::aid-nme177>3.0.co;2-m
fatcat:gwzuu5y5qzbmznjfo2mn6h5v3a
ON OPEN BOUNDARIES IN THE FINITE ELEMENT APPROXIMATION OF TWO‐DIMENSIONAL ADVECTION–DIFFUSION FLOWS
1997
International Journal for Numerical Methods in Engineering
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf.
Essentially, the space-time Crank-Nicolson-Galerkin formulation scheme was used to solve for a given conservative flow-field. ...
With the proper choice of boundary conditions, the steady-state Galerkin and the transient Crank-Nicolson-Galerkin finite element schemes gave stable and precise results for advectiondominated transport ...
ACKNOWLEDGEMENTS The authors are grateful to A. Khelifa, P. Boudreau and J.-L. Robert for their help and comments. ...
doi:10.1002/(sici)1097-0207(19970715)40:13<2493::aid-nme177>3.3.co;2-d
fatcat:nrz3xiqxfrfnxe5zjwys2szwh4
Conservation properties for the Galerkin and stabilised forms of the advection–diffusion and incompressible Navier–Stokes equations
2005
Computer Methods in Applied Mechanics and Engineering
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf.
A common criticism of continuous Galerkin finite element methods is their perceived lack of conservation. ...
As a result, conservative stabilised finite element procedures are presented for the advection-diffusion and incompressible Navier-Stokes equations. ...
The authors would also like to express their appreciation to Victor Calo who read the manuscript thoroughly and made many helpful suggestions. ...
doi:10.1016/j.cma.2004.06.034
fatcat:rtxeoghvoffjnfrpkzrbcsb2rm
Local Time-Stepping for Explicit Discontinuous Galerkin Schemes
[chapter]
2011
Computational Fluid Dynamics 2010
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf.
Similarly for the discontinuous Galerkin method provided that the number of degrees of fredom is close to the number of nodes in computations with CD method. ...
Abstract The present paper deals with the continuous work of extending the multidimensional limiting process (MLP), which has been quite successful in finite volume methods (FVM), into discontinuous Galerkin ...
Acknowledgements Financial support from the Deutsche Forschungsgemeinschaft (German Research Association) through grant GSC 111 is gratefully acknowledged. ...
doi:10.1007/978-3-642-17884-9_19
fatcat:ydan2psyffc23othhziaotksxu
PERFORMANCE OF LIMITERS IN MODAL DISCONTINUOUS GALERKIN METHODS FOR 1-D EULER EQUATIONS
1-D 오일러 방정식에 관한 Modal 불연속 갤러킨 기법에서의 Limiter 성능 비교
2016
Journal of computational fluids engineering
1-D 오일러 방정식에 관한 Modal 불연속 갤러킨 기법에서의 Limiter 성능 비교
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is application/pdf.
Acknowledgments This work was supported by the National Research Foundation of Korea(NRF 2015-M1A3A3A02-010621), South Korea. ...
The Rusanov(called as local Lax-Friedrichs) flux is applied for discretization of the inviscid flux functions at interfaces. ...
In classical finite element methods(i.e., continuous finite element method), the global solution is discretized using the finite dimensional functions which are locally continuous in character with finite ...
doi:10.6112/kscfe.2016.21.2.001
fatcat:x7yobllvczhrzknkhpkzxvbrny
« Previous
Showing results 1 — 15 out of 8,745 results