This page presents a few of the reports and journal articles which reference FlexPDE or are based on results of FlexPDE modeling.

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Dune soil nitrogen leaching for Chinese-yam cultivation: Impact of microbe-decomposable slow-release fertilizer
A. Endo
Heliyon, 10(9) , e30545, 2024

Heliyon Online

Respiration Measurements of Individual Tardigrades of the Species Richtersius cf coronifer as a Function of Temperature and Salinity and Termination of Anhydrobiosis
Bjarke H. Pedersen, Hans Malte, Kai Finster, and Hans Ramløv
Astrobiology - 29 Apr 2021

Mary Ann Liebert, Inc. Online

Landfill Gas Flow: Collection by Horizontal Wells
Yana Nec, Greg Huculak
G. Transp Porous Med (2019)

Springer Nature Online

Development of Thermal Conductivity Apparatus for Ablative Composite Materials
Ramin Shilav, Amiram Leitner, Alon Gany
57th Israel Annual Conference on Aerospace Sciences, March 15-16, 2017

472 K

Horizontal landfill gas wells: Geometry, physics of flow and connection with the atmosphere
Damian Halvorsen, Yana Nec, Greg Huculak
Physics and Chemistry of the Earth, Parts A/B/C - manuscript accepted

ScienceDirect Online

Effects of Deep Underdrainage in the Large Scale Chinese Yam Upland Field during Growing Period in Byobusan-area, Aomori Prefecture
Akira ENDO, Yusuke ABUKAWA, Michio KAWASAKI, Chihiro KATO, Choichi SASAKI
Transactions of The Japanese Society of Irrigation, Drainage and Rural Engineering, 86(1) (2018), I_129-I_137

J-Stage Online

Leaching characteristics of nitrate nitrogen in an apple orchard andosol under significant snow accumulation
Akira ENDO, Koh KATO, Bikash C. SARKER
Geoderma, 319 (2018), 24-33

ScienceDirect Online

Consideration of Snow Cover and Snowmelt upon the Inorganic Nitrogen Leaching Characteristics of an Apple Orchard in a Gray Lowland Soil
Akira ENDO, Daiyu ITO, Koh KATO, Chihiro KATO, Choichi SASAKI
Transactions of The Japanese Society of Irrigation, Drainage and Rural Engineering, 85(2) (2017), I_221-I_231

J-Stage Online

Net Fluorescein Flux Across Corneal Endothelium Strongly Suggests Fluid Transport is due to Electro-osmosis
J. M. Sanchez, V. Cacace, C. F. Kusnier, R. Nelson, A. A. Rubashkin, P. Iserovich, J. Fischbarg
J Membrane Biol (2016) 249:469-473

503 K

Groundwater flow as a cooling agent of the continental lithosphere
Henk Kooi
Nature Geoscience (2016) online
DOI: 10.1038/ngeo2642

Nature Geoscience Online

Simple pde model of spot replication in any dimension
Chiun-Chuan Chen and T. Kolokolnikov
SIAM Journal of Mathematical Analysis
44(5), pp.3564-3593 (2012)

616 K

Recovering multiple small inclusions inside an a three dimensional domain using a single measurement
T. Kolokolnikov and Alan Lindsay
Inverse Problems in Science & Engineering
to appear

688 K

Mean first passage time for a small rotating trap inside a reflective disk
J. Tzou and T. Kolokolnikov
SIAM Multiscale Modeling and Simulation
Vol. 13, No. 1, pp. 231-255 (2015)

1.43 M

Nitrate percolation and discharge in cropped Andosols and Gray lowland soils of Japan
Akira Endo, Shin-Ichiro Mishima, Kazunori Kohyama
Nutrient Cycling in Agroecosystems
January 2013, Volume 95, Issue 1 , pp 1-21
DOI: 10.1007/s10705-012-9544-7


Modeling of Active and Passive Nonlinear Metamaterials
P. L. Colestock, M. T. Reiten and J. F. O'Hara
August 21, 2012

1.3 M

Strength Prediction for Glass Lites of Any Shape Exposed to Uniform or Non-uniform Lateral Loads.
W. Alan Dalgliesh and James B. Posey
2010 International Conference on Building Envelope Systems and Technologies (ICBEST 2010)

705 K

Self-sustained biochemical oscillations and waves with a feedback determined only by boundary conditions.
E. B. Postnikov*, A. Yu. Verisokin, D. V. Verveyko, and A.I. Lavrova
Phys. Rev. E 81, 052901 (2010)

APS Online

Collisions between two nonlinear deformable bodies stated within Continuum Mechanics.
Fernando S. Buezas, Marta B. Rosales and Carlos P. Filipich
International Journal of Mechanical Sciences
Volume 52, Issue 6, June 2010, Pages 777-783

ScienceDirect Online

FEM Simulation of the temperature distribution and power density at platinum cathode craters caused by high voltage ignition discharges.
N Jeanvoine and F Muecklich
J. Phys. D: Appl. Phys. 42 (2009) 035203 (9pp)
January 14, 2009

IOP Online

Modeling nitrate leaching on a cropped Andosol.
A. Endo, S. Mishima and K. Kohyama
Nutrient Cycling in Agroecosystems
September 2009, Volume 85, Issue 1, pp 41-61
DOI: 10.1007/s10705-009-9247-x


Use of a General Partial Differential Equation Solver for Solutions of Mass and Heat Transfer Problems in Geotechnical Engineering.
Pentland, Gitirana and Fredlund
4th Brazilian Symposium on Unsaturated Soils, March 2001, 29-45pp.

306 K

Two-dimensional simulation of filaments in barrier discharges.
Steinle, Neundorf, Hiller and Pietralla
J. Phys. D: Appl. Phys. 32(1999) 1350-1356

201 K

Calculation of inductive electric fields in pulsed coaxial devices using electric vector potentials.
G. F. Kiuttu

278 K

What's my impedance?
Daniel G. Swanson, Jr.

752 K

Simple Finite Element modelling applied to the problems in Energetic Materials Characterisation: Design of Pyrotechnic Devices and Explosives Calorimetric Studies.
M Braithwaite, N Davies, W C Evans & P D Lightfoot

237 K

Magnetostatic analysis of a brushless DC motor using a two-dimensional partial differential equation solver.
Kostaridis, Soras and Makios
Computer Applications in Engineering Education Journal
Volume 9, Issue 2, 2001, pp. 93-100

362 K

Thermal Bridges - Heatflow Models with Heat2, Heat3 and a General Purpose 3D Solver.
James B. Posey and W.A. Dalgliesh
10th Canadian Conference on Building Science and Technology,
Ottawa, May 2005

2630 K

Acoustooptic Resonance in Deep-Etched GaAs-AlGaAs Electrooptic Modulators.
Watson, Poirier, Heaton, Lewis, and Boudreau
Journal of Lightwave Technology, Vol. 22, No. 6, June 2004, pp1598-1603

4290 K

Adaptive Forward-Inverse Modeling of Resevoir Fluids Away from Wellbores.
Doss, Gelinas, Nelson, and Ziagos
LLNL Report UCRL-ID-126377
Feb 1999

27 M

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