Deim-based PGD for parametric nonlinear model order reduction, International Conference on Adaptive Modeling and Simulation Centre Internacional de Mètodes Numèrics en Enginyeria (CIMNE), pp.29-34, 2013. ,
Hysteretic Behaviour and Moisture Buffering of Hemp Concrete, Transport in Porous Media, pp.515-533, 2014. ,
DOI : 10.2136/sssaj1980.03615995004400050002x
URL : https://hal.archives-ouvertes.fr/hal-01003199
A New Scaling and Squaring Algorithm for the Matrix Exponential, SIAM Journal on Matrix Analysis and Applications, vol.31, issue.3, pp.970-989, 1934. ,
DOI : 10.1137/09074721X
Computing the Action of the Matrix Exponential, with an Application to Exponential Integrators, SIAM Journal on Scientific Computing, vol.33, issue.2, pp.488-511, 2011. ,
DOI : 10.1137/100788860
Improving thermal performance of building walls by optimizing insulation layer distribution and thickness for same thermal mass, Applied Energy, vol.88, issue.9, pp.3113-3124, 2011. ,
DOI : 10.1016/j.apenergy.2011.02.036
Effect of electricity tariff on the optimum insulation-thickness in building walls as determined by a dynamic heat-transfer model, Applied Energy, vol.82, issue.4, pp.313-330, 2005. ,
DOI : 10.1016/j.apenergy.2004.10.014
Circumventing Curse of Dimensionality in the Solution of Highly Multidimensional Models Encountered in Quantum Mechanics Using Meshfree Finite Sums Decomposition, Meshfree Methods for Partial Differential Equations IV, pp.1-17 ,
DOI : 10.1007/978-3-540-79994-8_1
URL : https://hal.archives-ouvertes.fr/hal-00289677
A new family of solvers for some classes of multidimensional partial differential equations encountered in kinetic theory modelling of complex fluids, Journal of Non-Newtonian Fluid Mechanics, vol.144, issue.2-3, pp.98-121, 2007. ,
DOI : 10.1016/j.jnnfm.2007.03.009
URL : https://hal.archives-ouvertes.fr/hal-01633241
Non incremental strategies based on separated representations: applications in computational rheology, Communications in Mathematical Sciences, vol.8, issue.3, pp.671-695, 2010. ,
DOI : 10.4310/CMS.2010.v8.n3.a4
URL : https://hal.archives-ouvertes.fr/hal-01007108
The influence of the external walls thermal inertia on the energy performance of well insulated buildings, Energy and Buildings, vol.41, issue.11, pp.1181-1187, 1920. ,
DOI : 10.1016/j.enbuild.2009.06.005
Optimum insulation thickness for external walls on different orientations considering the speed and direction of the wind, Applied Energy, vol.117, pp.167-175, 2014. ,
DOI : 10.1016/j.apenergy.2013.12.008
Analytical solution for moisture buffering effect Validation exercises for simulation tools, 7th Nordic Symposium on Building Physics, p.15, 2005. ,
Proper generalized decomposition for solving coupled heat and moisture transfer, Journal of Building Performance Simulation, vol.96, issue.3, pp.295-311, 2015. ,
DOI : 10.1007/s12273-008-8106-z
URL : https://hal.archives-ouvertes.fr/hal-01819339
An innovative method for the design of high energy performance building envelopes, Applied Energy, vol.190, pp.266-277, 1921. ,
DOI : 10.1016/j.apenergy.2016.12.119
Review of Reduced Order Models for Heat and Moisture Transfer in Building Physics with Emphasis in PGD Approaches, Archives of Computational Methods in Engineering, vol.16, issue.9, pp.1-13, 2016. ,
DOI : 10.1080/17415977.2016.1160395
URL : https://hal.archives-ouvertes.fr/hal-01819330
Advanced simulation of models defined in plate geometries: 3D solutions with 2D computational complexity, Computer Methods in Applied Mechanics and Engineering, vol.201, issue.204, pp.201-2041, 2012. ,
DOI : 10.1016/j.cma.2011.08.025
URL : https://hal.archives-ouvertes.fr/hal-01462825
Configuring wall layers for improved insulation performance, Applied Energy, vol.112, pp.235-245, 2013. ,
DOI : 10.1016/j.apenergy.2013.06.024
Chebyshev and Fourier Spectral Methods, p.10, 2000. ,
DOI : 10.1007/978-3-642-83876-7
Spectral Methods Fundamentals in Single Domains. Scientific Computation, p.11, 2006. ,
Nonlinear Model Reduction via Discrete Empirical Interpolation, SIAM Journal on Scientific Computing, vol.32, issue.5, pp.2737-2764, 1926. ,
DOI : 10.1137/090766498
URL : https://scholarship.rice.edu/bitstream/1911/70218/1/ChaturantabutS.pdf
Chebyshev collocation spectral method for solving radiative transfer with the modified discrete ordinates formulations, International Journal of Heat and Mass Transfer, vol.88, pp.388-397 ,
DOI : 10.1016/j.ijheatmasstransfer.2015.04.083
Spectral collocation method for natural convection in a square porous cavity with local thermal equilibrium and non-equilibrium models, International Journal of Heat and Mass Transfer, vol.96, pp.84-96, 2009. ,
DOI : 10.1016/j.ijheatmasstransfer.2016.01.007
An overview of the proper generalized decomposition with applications in computational rheology, Journal of Non-Newtonian Fluid Mechanics, vol.166, issue.11, pp.578-592, 1921. ,
DOI : 10.1016/j.jnnfm.2010.12.012
URL : https://hal.archives-ouvertes.fr/hal-01061441
The Proper Generalized Decomposition for Advanced Numerical Simulations: A Primer, p.12, 2013. ,
DOI : 10.1007/978-3-319-02865-1
URL : https://link.springer.com/content/pdf/bfm%3A978-3-319-02865-1%2F1.pdf
A Short Review on Model Order Reduction Based on Proper Generalized Decomposition, Archives of Computational Methods in Engineering, vol.69, issue.9, pp.395-404, 2011. ,
DOI : 10.1016/j.compscitech.2008.09.041
URL : https://hal.archives-ouvertes.fr/hal-01004940
PGD-Based Computational Vademecum for Efficient Design, Optimization and Control, Archives of Computational Methods in Engineering, vol.51, issue.1, pp.31-59 ,
DOI : 10.1016/j.ijheatmasstransfer.2008.02.029
URL : https://hal.archives-ouvertes.fr/hal-01515083
Exponential Time Differencing for Stiff Systems, Journal of Computational Physics, vol.176, issue.2, pp.430-455, 2002. ,
DOI : 10.1006/jcph.2002.6995
Hygrothermal Performance of Building Envelopes: Uses for 2D and 1D simulation, 10th Conference on Building Science and Technology, 2005. ,
Simultaneous heat and moisture transfer in soils combined with building simulation, Energy and Buildings, vol.38, issue.4, pp.303-314, 2006. ,
DOI : 10.1016/j.enbuild.2005.06.011
Chebfun Guide, p.15, 2014. ,
Proper general decomposition (PGD) for the resolution of Navier???Stokes equations, Journal of Computational Physics, vol.230, issue.4, pp.1387-1407, 2011. ,
DOI : 10.1016/j.jcp.2010.11.010
URL : https://hal.archives-ouvertes.fr/hal-01061383
Solving nonlinear diffusive problems in buildings by means of a Spectral reduced-order model, Journal of Building Performance Simulation, vol.109, issue.1, pp.17-26, 2018. ,
DOI : 10.1007/s12273-008-8106-z
URL : https://hal.archives-ouvertes.fr/hal-01513304
Stable explicit schemes for simulation of nonlinear moisture transfer in porous materials, Journal of Building Performance Simulation, vol.109, issue.1, pp.129-144, 2018. ,
DOI : 10.1007/s12273-008-8106-z
URL : https://hal.archives-ouvertes.fr/hal-01404578
Orthogonal Polynomials: Computation and Approximation, 2004. ,
, Matrix Computations. J, p.26, 1996.
The Application of the Chebyshev-Spectral Method in Transport Phenomena, Lecture Notes in Applied and Computational Mechanics, vol.68, issue.9, 2012. ,
DOI : 10.1007/978-3-642-34088-8
Building envelope with a new aerogel-based insulating rendering: Experimental and numerical study, cost analysis, and thickness optimization, Applied Energy, vol.159, pp.490-501, 2015. ,
DOI : 10.1016/j.apenergy.2015.08.090
URL : https://hal.archives-ouvertes.fr/hal-01205410
Simulation efficiency and accuracy of different moisture transfer potentials, Journal of Building Performance Simulation, vol.9, issue.11, pp.379-389 ,
DOI : 10.1007/s12273-008-8106-z
Conservative modelling of the moisture and heat transfer in building components under atmospheric excitation, International Journal of Heat and Mass Transfer, vol.50, issue.5-6, pp.5-61128, 2007. ,
DOI : 10.1016/j.ijheatmasstransfer.2006.06.048
A Schur--Fr??chet Algorithm for Computing the Logarithm and Exponential of a Matrix, SIAM Journal on Matrix Analysis and Applications, vol.19, issue.3, pp.640-663, 1998. ,
DOI : 10.1137/S0895479896300334
From the experimental characterization of the hygrothermal properties of straw-clay mixtures to the numerical assessment of their buffering potential, Building and Environment, vol.97, pp.69-81, 1920. ,
DOI : 10.1016/j.buildenv.2015.12.004
URL : https://hal.archives-ouvertes.fr/hal-01785406
Sur une famille d'algorithmes en mécanique des structures. Comptes-rendus des séances de l'Académie des sciences. Série 2, Mécanique-physique, chimie, sciences de l'univers, sciences de la terre, pp.41-44, 1985. ,
On the solution of the multidimensional Langer's equation using the proper generalized decomposition method for modeling phase transitions, Modelling and Simulation in Materials Science and Engineering, vol.20, issue.1, pp.7-15, 2012. ,
DOI : 10.1088/0965-0393/20/1/015007
Iterative and direct Chebyshev collocation spectral methods for one-dimensional radiative heat transfer, International Journal of Heat and Mass Transfer, vol.51, issue.25-26, pp.25-265887, 2008. ,
DOI : 10.1016/j.ijheatmasstransfer.2008.04.048
Heat and mass transfer in capillary-porous bodies, 1966. ,
DOI : 10.1016/s0065-2717(08)70098-4
Thermal radiation heat transfer in one- and two-dimensional enclosures using the spectral collocation method with full spectrum k-distribution model, International Journal of Heat and Mass Transfer, vol.71, pp.35-43, 2009. ,
DOI : 10.1016/j.ijheatmasstransfer.2013.12.009
Numerical methods for diffusion phenomena in building physics, pp.2017-2027 ,
DOI : 10.7213/978868324455
A method for predicting heat and moisture transfer through multilayered walls based on temperature and moisture content gradients, International Journal of Heat and Mass Transfer, vol.48, issue.1, pp.37-51, 2005. ,
DOI : 10.1016/j.ijheatmasstransfer.2004.08.011
Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later, SIAM Review, vol.45, issue.1, pp.3-49, 1934. ,
DOI : 10.1137/S00361445024180
On the New Bivariate Local Linearisation Method for Solving Coupled Partial Differential Equations in Some Applications of Unsteady Fluid Flows with Heat and Mass Transfer, Mass Transfer -Advancement in Process Modelling. InTech, 2009. ,
DOI : 10.5772/60444
Proper Generalized Decomposition for Multiscale and??Multiphysics Problems, Archives of Computational Methods in Engineering, vol.193, issue.1???4, pp.351-372, 2010. ,
DOI : 10.1016/j.cma.2003.11.006
Accounting for large deformations in real-time simulations of soft tissues based on reduced-order models, Computer Methods and Programs in Biomedicine, vol.105, issue.1, pp.1-12, 2012. ,
DOI : 10.1016/j.cmpb.2010.06.012
URL : https://hal.archives-ouvertes.fr/hal-01004972
A generalized spectral decomposition technique to solve a class of linear stochastic partial differential equations, Computer Methods in Applied Mechanics and Engineering, vol.196, issue.45-48, pp.45-484521, 2007. ,
DOI : 10.1016/j.cma.2007.05.016
URL : https://hal.archives-ouvertes.fr/hal-00366619
Effect of wall orientation on the optimum insulation thickness by using a dynamic method, Applied Energy, vol.88, issue.7, pp.2429-2435, 2011. ,
DOI : 10.1016/j.apenergy.2011.01.049
Heat conduction, p.17, 1993. ,
Spectral method for simulating 3D heat and mass transfer during drying of apple slices, Journal of Food Engineering, vol.212, pp.201-212, 2009. ,
DOI : 10.1016/j.jfoodeng.2017.05.013
Spectral methods for incompressible viscous flow, p.11, 2002. ,
DOI : 10.1007/978-1-4757-6557-1
Moisture movement in porous materials under temperature gradients, Transactions, American Geophysical Union, vol.73, issue.2, pp.222-232, 1957. ,
DOI : 10.1097/00010694-195202000-00002
On the deterministic solution of multidimensional parametric models using the Proper Generalized Decomposition, Mathematics and Computers in Simulation, vol.81, issue.4, pp.791-810, 2010. ,
DOI : 10.1016/j.matcom.2010.07.015
URL : https://hal.archives-ouvertes.fr/hal-00704427
Dataset for validating 1-D heat and mass transfer models within building walls with hygroscopic materials, Building and Environment, vol.89, pp.356-368, 2015. ,
DOI : 10.1016/j.buildenv.2015.03.008
URL : https://hal.archives-ouvertes.fr/hal-01598447
A spectral relaxation method for linear and non-linear stratification effects on mixed convection in a porous medium, Applied Mathematics and Computation, vol.268, pp.991-1000, 2009. ,
DOI : 10.1016/j.amc.2015.07.007
The Concept of Moisture Buffer Value of Building Materials and its Application in Building Design, Healthy Buildings, pp.57-62, 2006. ,
Modelling Unsaturated Moisture Transport in Heterogeneous Limestone, Transport in Porous Media, pp.333-350, 2003. ,
, The MATLAB ODE Suite. SIAM J. Sci. Comput, vol.18, issue.17, pp.1-22, 1997.
Finite Difference and Spectral Methods for Ordinary and Partial Differential Equations, 1996. ,
The chips are down for Moore???s law, Nature, vol.530, issue.7589, pp.144-147, 2006. ,
DOI : 10.1038/530144a
Collocation methods for uncertain heat convection-diffusion problem with interval input parameters, International Journal of Thermal Sciences, vol.107, pp.230-236 ,
DOI : 10.1016/j.ijthermalsci.2016.04.012
Tools for performance simulation of heat, air and moisture conditions of whole buildings, Building Simulation, vol.2, issue.112, pp.5-24, 2008. ,
DOI : 10.1002/bapi.200710028
URL : https://hal.archives-ouvertes.fr/hal-00353433
Proposal for optimum combination of reflectivity and insulation thickness of building exterior walls for annual thermal load in Japan, Building and Environment, vol.103, pp.228-237, 2016. ,
DOI : 10.1016/j.buildenv.2016.04.019
Campus Scientifique , F-73376 Le Bourget-du-Lac Cedex, France and Thermal Systems Laboratory, Mechanical Engineering Graduate Program, pp.80215-901 ,
Campus Scientifique , F-73376 Le Bourget-du-Lac Cedex, France E-mail address: Berger.Julien@univ-smb.fr URL: https://www.researchgate.net/profile, p.73000 ,
Campus Scientifique, F-73376 Le Bourget-du-Lac Cedex, France E-mail address: Denys.Dutykh@univ-smb.fr URL: http://www.denys-dutykh, pp.80215-901 ,