Camellia: A software framework for discontinuous Petrov–Galerkin methods

Roberts, Nathan V.

doi:10.1016/j.camwa.2014.08.010

Camellia: A software framework for discontinuous Petrov–Galerkin methods

Journal Article · Sun Nov 30 23:00:00 EST 2014 · Computers and Mathematics with Applications (Oxford)

DOI:https://doi.org/10.1016/j.camwa.2014.08.010· OSTI ID:1484077

Roberts, Nathan V.

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Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES); USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC02-06CH11357; FC52-08NA28615

OSTI ID:: 1484077

Journal Information:: Computers and Mathematics with Applications (Oxford), Journal Name: Computers and Mathematics with Applications (Oxford) Journal Issue: 11 Vol. 68; ISSN 0898-1221

Publisher:: ElsevierCopyright Statement

Country of Publication:: United Kingdom

Language:: English

References (18)

A class of discontinuous Petrov-Galerkin methods. II. Optimal test functions Demkowicz, L.; Gopalakrishnan, J. Numerical Methods for Partial Differential Equations, Vol. 27, Issue 1 https://doi.org/10.1002/num.20640	journal	October 2010
Transfinite element methods: Blending-function interpolation over arbitrary curved element domains Gordon, William J.; Hall, Charles A. Numerische Mathematik, Vol. 21, Issue 2 https://doi.org/10.1007/BF01436298	journal	April 1973
libMesh : a C++ library for parallel adaptive mesh refinement/coarsening simulations Kirk, Benjamin S.; Peterson, John W.; Stogner, Roy H. Engineering with Computers, Vol. 22, Issue 3-4 https://doi.org/10.1007/s00366-006-0049-3	journal	November 2006
A robust DPG method for convection-dominated diffusion problems II: Adjoint boundary conditions and mesh-dependent test norms Chan, Jesse; Heuer, Norbert; Bui-Thanh, Tan Computers & Mathematics with Applications, Vol. 67, Issue 4 https://doi.org/10.1016/j.camwa.2013.06.010	journal	March 2014
A primal DPG method without a first-order reformulation Demkowicz, L.; Gopalakrishnan, J. Computers & Mathematics with Applications, Vol. 66, Issue 6 https://doi.org/10.1016/j.camwa.2013.06.029	journal	October 2013
The DPG method for the Stokes problem Roberts, Nathan V.; Bui-Thanh, Tan; Demkowicz, Leszek Computers & Mathematics with Applications, Vol. 67, Issue 4 https://doi.org/10.1016/j.camwa.2013.12.015	journal	March 2014
A class of discontinuous Petrov–Galerkin methods. Part I: The transport equation Demkowicz, L.; Gopalakrishnan, J. Computer Methods in Applied Mechanics and Engineering, Vol. 199, Issue 23-24 https://doi.org/10.1016/j.cma.2010.01.003	journal	April 2010
A DPG method for steady viscous compressible flow Chan, Jesse; Demkowicz, Leszek; Moser, Robert Computers & Fluids, Vol. 98 https://doi.org/10.1016/j.compfluid.2014.02.024	journal	July 2014
A class of discontinuous Petrov–Galerkin methods. Part IV: The optimal test norm and time-harmonic wave propagation in 1D Zitelli, J.; Muga, I.; Demkowicz, L. Journal of Computational Physics, Vol. 230, Issue 7 https://doi.org/10.1016/j.jcp.2010.12.001	journal	April 2011
Viscous and resistive eddies near a sharp corner Moffatt, H. K. Journal of Fluid Mechanics, Vol. 18, Issue 1 https://doi.org/10.1017/S0022112064000015	journal	January 1964
Laminar flow behind a two-dimensional grid Kovasznay, L. I. G. Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 44, Issue 1 https://doi.org/10.1017/S0305004100023999	journal	January 1948
Adaptivity and variational stabilization for convection-diffusion equations Cohen, Albert; Dahmen, Wolfgang; Welper, Gerrit ESAIM: Mathematical Modelling and Numerical Analysis, Vol. 46, Issue 5 https://doi.org/10.1051/m2an/2012003	journal	March 2012
Analysis of the DPG Method for the Poisson Equation Demkowicz, L.; Gopalakrishnan, J. SIAM Journal on Numerical Analysis, Vol. 49, Issue 5 https://doi.org/10.1137/100809799	journal	January 2011
On the Finite Element Solution of the Pure Neumann Problem Bochev, Pavel; Lehoucq, R. B. SIAM Review, Vol. 47, Issue 1 https://doi.org/10.1137/S0036144503426074	journal	January 2005
A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling Amestoy, Patrick R.; Duff, Iain S.; L'Excellent, Jean-Yves SIAM Journal on Matrix Analysis and Applications, Vol. 23, Issue 1 https://doi.org/10.1137/S0895479899358194	journal	January 2001
An overview of the Trilinos project Heroux, Michael A.; Phipps, Eric T.; Salinger, Andrew G. ACM Transactions on Mathematical Software, Vol. 31, Issue 3 https://doi.org/10.1145/1089014.1089021	journal	September 2005
Algorithm 907: KLU, A Direct Sparse Solver for Circuit Simulation Problems Davis, Timothy A.; Palamadai Natarajan, Ekanathan ACM Transactions on Mathematical Software, Vol. 37, Issue 3 https://doi.org/10.1145/1824801.1824814	journal	September 2010
Algorithms and data structures for massively parallel generic adaptive finite element codes Bangerth, Wolfgang; Burstedde, Carsten; Heister, Timo ACM Transactions on Mathematical Software, Vol. 38, Issue 2 https://doi.org/10.1145/2049673.2049678	journal	December 2011

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