Found 147 Documents (Results 1–100)
Regularized coupling multiscale method for thermomechanical coupled problems. (English) Zbl 07819076
A reduced basis super-localized orthogonal decomposition for reaction-convection-diffusion problems. (English) Zbl 07819051
A relaxed localized trust-region reduced basis approach for optimization of multiscale problems. (English) Zbl 1536.90115
A quasi Monte Carlo-based model reduction method for solving Helmholtz equation in random media. (English) Zbl 07918266
Online coupled generalized multiscale finite element method for the poroelasticity problem in three-dimensional media. (English) Zbl 07853803
Fast multiscale functional estimation in optimal EMG placement for robotic prosthesis controllers. (English) Zbl 1531.92050
Resolving vibro-acoustics in poroelastic media via a multiscale virtual element method. (English) Zbl 07769166
Solving multiscale elliptic problems by sparse radial basis function neural networks. (English) Zbl 07742922
Surrogate modeling for the homogenization of elastoplastic composites based on RBF interpolation. (English) Zbl 1539.74077
Constraint energy minimizing generalized multiscale finite element method for convection diffusion equation. (English) Zbl 1518.65136
Numerical simulation of language interactions using online coupled generalized multiscale finite element method. (English) Zbl 1505.65259
Multiscale model reduction for stochastic elasticity problems using ensemble variable-separated method. (English) Zbl 1502.65200
Novel design and analysis of generalized finite element methods based on locally optimal spectral approximations. (English) Zbl 1540.65490
Generalized multiscale finite element method for highly heterogeneous compressible flow. (English) Zbl 1506.76074
An algebraic dynamic multilevel and multiscale method with non-uniform mesh resolution and adaptive algebraic multiscale solver operator for the simulation of two-phase flows in highly heterogeneous petroleum reservoirs. (English) Zbl 07536723
A generalized finite element method for the strongly damped wave equation with rapidly varying data. (English) Zbl 07523502
Online conservative generalized multiscale finite element method for highly heterogeneous flow models. (English) Zbl 1473.76038
Learning constitutive models from microstructural simulations via a non-intrusive reduced basis method. (English) Zbl 1506.74234
Nitsche’s method as a variational multiscale formulation and a resulting boundary layer fine-scale model. (English) Zbl 1506.65226
A new least-squares-based reproducing kernel method for solving regular and weakly singular Volterra-Fredholm integral equations with smooth and nonsmooth solutions. (English) Zbl 1504.65295
Exponential convergence for multiscale linear elliptic PDEs via adaptive edge basis functions. (English) Zbl 1473.65296
Robust linear domain decomposition schemes for reduced nonlinear fracture flow models. (English) Zbl 1460.76633
Multiscale model reduction for the Allen-Cahn problem in perforated domains. (English) Zbl 1486.65180
In situ adaptive reduction of nonlinear multiscale structural dynamics models. (English) Zbl 1543.74082
Many-scale finite strain computational homogenization via concentric interpolation. (English) Zbl 07863238
Efficient multiscale methods for the semiclassical Schrödinger equation with time-dependent potentials. (English) Zbl 1506.81008
A low-rank approximated multiscale method for PDEs with random coefficients. (English) Zbl 1453.65435
A multiscale multilevel Monte Carlo method for multiscale elliptic PDEs with random coefficients. (English) Zbl 1463.65002
A multiscale reduced basis method for the Schrödinger equation with multiscale and random potentials. (English) Zbl 1454.35070
Multiscale radial kernels with high-order generalized Strang-Fix conditions. (English) Zbl 1458.41002
Reviewer: Martin D. Buhmann (Gießen)
Constraint energy minimizing generalized multiscale finite element method for nonlinear poroelasticity and elasticity. (English) Zbl 1437.74026
A new multiscale algorithm for solving second order boundary value problems. (English) Zbl 1442.65135
Reviewer: Bülent Karasözen (Ankara)
Constraint energy minimizing generalized multiscale discontinuous Galerkin method. (English) Zbl 1450.76022
Proper orthogonal decomposition method for multiscale elliptic PDEs with random coefficients. (English) Zbl 1439.35588
Reviewer: Igor Bock (Bratislava)
A two-level overlapping Schwarz method with energy-minimizing multiscale coarse basis functions. (English) Zbl 1493.65267
An algorithm of the boundary value problem based on multiscale orthogonal compact base. (English) Zbl 1538.65206
Generalized multiscale finite element methods with energy minimizing oversampling. (English) Zbl 07865105
Online basis construction for goal-oriented adaptivity in the generalized multiscale finite element method. (English) Zbl 1452.65329
A multiscale flux basis for mortar mixed discretizations of reduced Darcy-Forchheimer fracture models. (English) Zbl 1441.74197
A model reduction method for multiscale elliptic PDEs with random coefficients using an optimization approach. (English) Zbl 1420.35083
On the convergence rates of GMsFEMs for heterogeneous elliptic problems without oversampling techniques. (English) Zbl 1426.65179
Mixed multiscale finite element method for problems in perforated media with inhomogeneous Dirichlet boundary conditions. (Russian) Zbl 1433.76092
Generalized multiscale finite element method for a strain-limiting nonlinear elasticity model. (English) Zbl 1416.74084
Phase unwinding, or invariant subspace decompositions of Hardy spaces. (English) Zbl 1432.30037
Reviewer: Joan Fàbrega (Barcelona)
Multiscale methods for model order reduction of non-linear multiphase flow problems. (English) Zbl 1414.76088
Numerical homogenization and model order reduction for multiscale inverse problems. (English) Zbl 1412.65195
A mixed generalized multiscale finite element method for planar linear elasticity. (English) Zbl 1418.74035
A reduced basis method for the homogenized Reynolds equation applied to textured surfaces. (English) Zbl 1488.35048
Adaptive multiscale methods for sparse image representation and dictionary learning. (English) Zbl 1450.94002
Göttingen: Univ. Göttingen (Diss.). 136 p. (2018).
Local-global model reduction method for stochastic optimal control problems constrained by partial differential equations. (English) Zbl 1440.49039
Algebraic dynamic multilevel method for embedded discrete fracture model (F-ADM). (English) Zbl 1416.76151
Cluster-based generalized multiscale finite element method for elliptic PDEs with random coefficients. (English) Zbl 1415.65251
Localized model reduction in PDE constrained optimization. (English) Zbl 1407.49030
Schulz, Volker (ed.) et al., Shape optimization, homogenization and optimal control. DFG-AIMS workshop held at the AIMS Center Sénégal, Mbour, Sénégal, March 13–16, 2017. Cham: Birkhäuser. ISNM, Int. Ser. Numer. Math. 169, 143-163 (2018).
Constraint energy minimizing generalized multiscale finite element method in the mixed formulation. (English) Zbl 1405.76049
Solving partial differential equations with multiscale radial basis functions. (English) Zbl 1407.65303
Dick, Josef (ed.) et al., Contemporary computational mathematics – a celebration of the 80th birthday of Ian Sloan. In 2 volumes. Cham: Springer. 1191-1213 (2018).
Domain decomposition preconditioners for multiscale problems in linear elasticity. (English) Zbl 1513.65491
Fast online generalized multiscale finite element method using constraint energy minimization. (English) Zbl 1380.65366
MSC:
65N30
Algebraic dynamic multilevel method for compositional flow in heterogeneous porous media. (English) Zbl 1380.76097
MSC:
76M25
76S05
An iteratively adaptive multiscale finite element method for elliptic interface problems. (English) Zbl 1382.65404
An online generalized multiscale discontinuous Galerkin method (GMsDGM) for flows in heterogeneous media. (English) Zbl 1488.65609
A multiscale flux basis for mortar mixed discretizations of Stokes-Darcy flows. (English) Zbl 1439.76152
Proper generalized decomposition method based on reduced multiscale finite element and its applications for the parametrized elliptic equations. (Chinese. English summary) Zbl 1399.65346
MSC:
65N30
SLEIPNNIR: a multiscale, particle level set method for Newtonian and non-Newtonian interface flows. (English) Zbl 1436.76033
Fast multiscale regularization methods for high-order numerical differentiation. (English) Zbl 1433.65360
The multiscale restriction smoothed basis method for fractured porous media (F-MSRSB). (English) Zbl 1349.76385
Algebraic dynamic multilevel (ADM) method for fully implicit simulations of multiphase flow in porous media. (English) Zbl 1349.76813
Automatised selection of load paths to construct reduced-order models in computational damage micromechanics: from dissipation-driven random selection to Bayesian optimization. (English) Zbl 1398.74053
A spectral multiscale hybridizable discontinuous Galerkin method for second order elliptic problems. (English) Zbl 1425.65197
Multiscale interpolation on the sphere: convergence rate and inverse theorem. (English) Zbl 1410.65021
Quantitative properties of quadratic spline wavelet bases in higher dimensions. (English) Zbl 1374.65223
Chleboun, J. (ed.) et al., Programs and algorithms of numerical mathematics 17. Proceedings of the 17th seminar (PANM), Dolní Maxov, Czech Republic, June 8–13, 2014. Prague: Academy of Sciences of the Czech Republic, Institute of Mathematics (ISBN 978-80-85823-64-6). 41-46 (2015).
Reviewer: Vratislava Mošová (Olomouc)
The localized reduced basis multiscale method for two-phase flows in porous media. (English) Zbl 1352.76057
Block preconditioners for linear systems arising from multiscale collocation with compactly supported RBFs. (English) Zbl 1363.65042
Error control for the localized reduced basis multiscale method with adaptive on-line enrichment. (English) Zbl 1329.65255
Multiscale support vector approach for solving ill-posed problems. (English) Zbl 1331.65181
Reviewer: Bernd Hofmann (Chemnitz)
Multiscale support vector regression method in Sobolev spaces on bounded domains. (English) Zbl 1316.65024
Reviewer: Martin D. Buhmann (Gießen)
Reduced basis finite element heterogeneous multiscale method for quasilinear elliptic homogenization problems. (English) Zbl 1304.65245
Data compression on the sphere using multiscale radial basis function approximation. (English) Zbl 1309.68061
Spectral multiscale finite element for nonlinear flows in highly heterogeneous media: a reduced basis approach. (English) Zbl 1293.76086
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