Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
On the a priori model reduction: overview and recent developments - MaRDI portal

On the a priori model reduction: overview and recent developments

From MaRDI portal
Publication:2505283

DOI10.1007/BF02905932zbMath1142.76462OpenAlexW2060184301WikidataQ113327712 ScholiaQ113327712MaRDI QIDQ2505283

Amine Ammar, David Ryckelynck, Francisco Chinesta, Elias Cueto

Publication date: 4 October 2006

Published in: Archives of Computational Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02905932




Related Items

Integration of PGD-virtual charts into an engineering design processA parallel and multiscale strategy for the parametric study of transient dynamic problems with frictionLocal/global model order reduction strategy for the simulation of quasi-brittle fractureAlleviating mesh constraints: model reduction, parallel time integration and high resolution homogenizationRecirculating flows involving short fiber suspensions: numerical difficulties and efficient advanced micro-macro solversA fast, certified and ``tuning free two-field reduced basis method for the metamodelling of affinely-parametrised elasticity problemsAn \textit{hp}-proper orthogonal decomposition-moving least squares approach for molecular dynamics simulationA manifold learning approach for integrated computational materials engineeringkPCA-based parametric solutions within the PGD frameworkOn the space separated representation when addressing the solution of PDE in complex domainsModel order reduction for hyperelastic materialsRecent advances and new challenges in the use of the proper generalized decomposition for solving multidimensional modelsProper generalized decomposition for multiscale and~multiphysics problemsToward an optimal a priori reduced basis strategy for frictional contact problems with LATIN solverAcceleration of the spectral stochastic FEM using POD and element based discrete empirical approximation for a micromechanical model of heterogeneous materials with random geometryMethod for real-time simulation of haptic interaction with deformable objects using GPU-based parallel computing and homogeneous hexahedral elementsReduced numerical modeling of flows involving liquid-crystalline polymersLattice Boltzmann method for polymer kinetic theoryReal-time validation of mechanical models coupling PGD and constitutive relation errorNonincremental proper generalized decomposition solution of parametric uncoupled models defined in evolving domainsTotal and selective reuse of Krylov subspaces for the resolution of sequences of nonlinear structural problemsStreamline upwind/Petrov-Galerkin-based stabilization of proper generalized decompositions for high-dimensional advection-diffusion equationsModel order reduction in hyperelasticity: a proper generalized decomposition approachA multiscale large time increment/FAS algorithm with time-space model reduction for frictional contact problemsTime-space PGD for the rapid solution of 3D nonlinear parametrized problems in the many-query contextOn the deterministic solution of multidimensional parametric models using the proper generalized decompositionNon-incremental boundary element discretization of parabolic models based on the use of the proper generalized decompositionsMultiparametric analysis within the proper generalized decomposition frameworkNonintrusive proper generalised decomposition for parametrised incompressible flow problems in OpenFOAMA global model reduction approach for 3D fatigue crack growth with confined plasticityMulti-level a priori hyper-reduction of mechanical models involving internal variablesVirtual charts of solutions for parametrized nonlinear equationsA decomposed subspace reduction for fracture mechanics based on the meshfree integrated singular basis function methodFrom single-scale to two-scales kinetic theory descriptions of rods suspensionsPGD-based \textit{computational vademecum} for efficient design, optimization and controlA parametric and non-intrusive reduced order model of car crash simulationMultidimensional a priori hyper-reduction of mechanical models involving internal variablesAn overview of the proper generalized decomposition with applications in computational rheologyAn automatic Krylov subspaces recycling technique for the construction of a global solution basis of non-affine parametric linear systemsReduced-order modelling for solving linear and non-linear equationsA matrix DEIM technique for model reduction of nonlinear parametrized problems in cardiac mechanicsReduced-order modeling of parameterized PDEs using time-space-parameter principal component analysis



Cites Work