Nathan Collier
Nathan Collier
Staff scientist, Computer Science and Engineering Division, Oak Ridge National Laboratory
Verified email at ornl.gov - Homepage
Title
Cited by
Cited by
Year
The cost of continuity: A study of the performance of isogeometric finite elements using direct solvers
N Collier, D Pardo, L Dalcin, M Paszynski, VM Calo
Computer Methods in Applied Mechanics and Engineering 213, 353-361, 2012
1372012
A continuation multilevel Monte Carlo algorithm
N Collier, AL Haji-Ali, F Nobile, E Von Schwerin, R Tempone
BIT Numerical Mathematics 55 (2), 399-432, 2015
1132015
PetIGA: A framework for high-performance isogeometric analysis
L Dalcin, N Collier, P Vignal, AMA Côrtes, VM Calo
Computer Methods in Applied Mechanics and Engineering 308, 151-181, 2016
902016
The Community Land Model version 5: Description of new features, benchmarking, and impact of forcing uncertainty
DM Lawrence, RA Fisher, CD Koven, KW Oleson, SC Swenson, G Bonan, ...
Journal of Advances in Modeling Earth Systems 11 (12), 4245-4287, 2019
852019
The cost of continuity: performance of iterative solvers on isogeometric finite elements
N Collier, L Dalcin, D Pardo, VM Calo
SIAM Journal on Scientific Computing 35 (2), A767-A784, 2013
832013
The international land model benchmarking (ILAMB) system: design, theory, and implementation
N Collier, FM Hoffman, DM Lawrence, G Keppel‐Aleks, CD Koven, ...
Journal of Advances in Modeling Earth Systems 10 (11), 2731-2754, 2018
562018
An energy-stable convex splitting for the phase-field crystal equation
P Vignal, L Dalcin, DL Brown, N Collier, VM Calo
Computers & Structures 158, 355-368, 2015
472015
Understanding the representativeness of FLUXNET for upscaling carbon flux from eddy covariance measurements
J Kumar, FM Hoffman, WW Hargrove, N Collier
Earth System Science Data Discussions, 2016
392016
Groundwater flow and heat transport for systems undergoing freeze-thaw: Intercomparison of numerical simulators for 2D test cases
C Grenier, H Anbergen, V Bense, Q Chanzy, E Coon, N Collier, F Costard, ...
Advances in water resources 114, 196-218, 2018
382018
The value of continuity: Refined isogeometric analysis and fast direct solvers
D Garcia, D Pardo, L Dalcin, M Paszyński, N Collier, VM Calo
Computer Methods in Applied Mechanics and Engineering 316, 586-605, 2017
382017
PetIGA-MF: a multi-field high-performance toolbox for structure-preserving B-splines spaces
AF Sarmiento, AMA Côrtes, DA Garcia, L Dalcin, N Collier, VM Calo
Journal of Computational Science 18, 117-131, 2017
352017
On the shape optimization of flapping wings and their performance analysis
M Ghommem, N Collier, AH Niemi, VM Calo
Aerospace Science and Technology 32 (1), 274-292, 2014
332014
Automatically stable discontinuous Petrov–Galerkin methods for stationary transport problems: Quasi-optimal test space norm
AH Niemi, NO Collier, VM Calo
Computers & Mathematics with Applications 66 (10), 2096-2113, 2013
302013
On the computational efficiency of isogeometric methods for smooth elliptic problems using direct solvers
N Collier, L Dalcin, VM Calo
International Journal for Numerical Methods in Engineering 100 (8), 620-632, 2014
272014
Computational complexity and memory usage for multi-frontal direct solvers used in p finite element analysis
VM Calo, NO Collier, D Pardo, MR Paszyński
Procedia Computer Science 4, 1854-1861, 2011
262011
Modeling the spatio-temporal variability in subsurface thermal regimes across a low-relief polygonal tundra landscape: Modeling Archive
PE Thornton, J Kumar, CM Iversen, RT Mills, G Bisht, N Collier, ...
10.5440/1184018, 2016
24*2016
A survey on direct solvers for Galerkin methods
D Pardo, M Paszynski, N Collier, J Alvarez, L Dalcin, VM Calo
SeMA Journal 57 (1), 107-134, 2012
242012
Petiga: high-performance isogeometric analysis
N Collier, L Dalcín, VM Calo
arXiv preprint arXiv:1305.4452 71, 2013
232013
Analysis of the discontinuous Petrov–Galerkin method with optimal test functions for the Reissner–Mindlin plate bending model
VM Calo, NO Collier, AH Niemi
Computers & Mathematics with Applications 66 (12), 2570-2586, 2014
222014
Discontinuous Petrov-Galerkin method based on the optimal test space norm for one-dimensional transport problems
AH Niemi, NO Collier, VM Calo
Procedia Computer Science 4, 1862-1869, 2011
212011
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Articles 1–20