Localization of elliptic multiscale problems. Zbl 1301.65123
Målqvist, Axel; Peterseim, Daniel |
|
2014
|
Adaptive variational multiscale methods based on a posteriori error estimation: energy norm estimates for elliptic problems. Zbl 1173.74431
Larson, Mats G.; Målqvist, Axel |
|
2007
|
A localized orthogonal decomposition method for semi-linear elliptic problems. Zbl 1300.35011
Henning, Patrick; Målqvist, Axel; Peterseim, Daniel |
|
2014
|
Localized orthogonal decomposition techniques for boundary value problems. Zbl 1303.35007
Henning, Patrick; Målqvist, Axel |
|
2014
|
Numerical homogenization by localized orthogonal decomposition. Zbl 1479.65001
Målqvist, A.; Peterseim, D. |
|
2021
|
A posteriori error estimates for mixed finite element approximations of elliptic problems. Zbl 1136.65101
Larson, Mats G.; Målqvist, Axel |
|
2008
|
Computation of eigenvalues by numerical upscaling. Zbl 1333.65127
Målqvist, Axel; Peterseim, Daniel |
|
2015
|
Convergence of a discontinuous Galerkin multiscale method. Zbl 1287.65101
Elfverson, Daniel; Georgoulis, Emmanuil H.; Målqvist, Axel; Peterseim, Daniel |
|
2013
|
Two-level discretization techniques for ground state computations of Bose-Einstein condensates. Zbl 1308.35272
Henning, Patrick; Målqvist, Axel; Peterseim, Daniel |
|
2014
|
Efficient implementation of the localized orthogonal decomposition method. Zbl 1441.65100
Engwer, Christian; Henning, Patrick; Målqvist, Axel; Peterseim, Daniel |
|
2019
|
Adaptive variational multiscale methods based on a posteriori error estimation: duality techniques for elliptic problems. Zbl 1105.65353
Larson, Mats G.; Målqvist, Axel |
|
2005
|
A multilevel Monte Carlo method for computing failure probabilities. Zbl 1343.65004
Elfverson, Daniel; Hellman, Fredrik; Målqvist, Axel |
|
2016
|
Multiscale techniques for parabolic equations. Zbl 1401.65109
Målqvist, Axel; Persson, Anna |
|
2018
|
Multiscale methods for elliptic problems. Zbl 1248.65124
Målqvist, Axel |
|
2011
|
Contrast independent localization of multiscale problems. Zbl 1382.35093
Hellman, Frederik; Målqvist, Axel |
|
2017
|
An adaptive variational multiscale method for convection-diffusion problems. Zbl 1156.76047
Larson, Mats G.; Målqvist, Axel |
|
2009
|
A generalized finite element method for linear thermoelasticity. Zbl 1397.74191
Målqvist, Axel; Persson, Anna |
|
2017
|
Nonparametric density estimation for randomly perturbed elliptic problems. I: Computational methods, a posteriori analysis, and adaptive error control. Zbl 1194.65128
Estep, D.; Målqvist, A.; Tavener, S. |
|
2009
|
Goal oriented adaptivity for coupled flow and transport problems with applications in oil reservoir simulations. Zbl 1173.76346
Larson, Mats G.; Målqvist, Axel |
|
2007
|
Multiscale differential Riccati equations for linear quadratic regulator problems. Zbl 1397.49047
Målqvist, Axel; Persson, Anna; Stillfjord, Tony |
|
2018
|
An adaptive discontinuous Galerkin multiscale method for elliptic problems. Zbl 1283.65108
Elfverson, Daniel; Georgoulis, Emmanuil H.; Målqvist, Axel |
|
2013
|
Numerical homogenization of elliptic PDEs with similar coefficients. Zbl 1428.65085
Hellman, Fredrik; Målqvist, Axel |
|
2019
|
The finite element method for the time-dependent Gross-Pitaevskii equation with angular momentum rotation. Zbl 1362.65105
Henning, Patrick; Målqvist, Axel |
|
2017
|
Multiscale mixed finite elements. Zbl 1388.76144
Målqvist, Axel; Henning, Patrick; Hellman, Fredrik |
|
2016
|
Generalized finite element methods for quadratic eigenvalue problems. Zbl 1360.65270
Målqvist, Axel; Peterseim, Daniel |
|
2017
|
Nonparametric density estimation for randomly perturbed elliptic problems. II: Applications and adaptive modeling. Zbl 1176.76108
Estep, D.; Målqvist, A.; Tavener, S. |
|
2009
|
A space-time multiscale method for parabolic problems. Zbl 1493.65158
Ljung, Per; Maier, Roland; Målqvist, Axel |
|
2022
|
Numerical upscaling of discrete network models. Zbl 1431.65208
Kettil, G.; Målqvist, A.; Mark, A.; Fredlund, M.; Wester, K.; Edelvik, F. |
|
2020
|
A posteriori error estimates for mixed finite element approximations of parabolic problems. Zbl 1221.65242
Larson, Mats G.; Målqvist, Axel |
|
2011
|
Convergence analysis of finite element approximations of the Joule heating problem in three spatial dimensions. Zbl 1205.80084
Holst, Michael J.; Larson, Mats G.; Målqvist, Axel; Söderlund, Robert |
|
2010
|
Numerical upscaling of perturbed diffusion problems. Zbl 1454.35079
Hellman, Fredrik; Keil, Tim; Målqvist, Axel |
|
2020
|
A generalized finite element method for the strongly damped wave equation with rapidly varying data. Zbl 07523502
Ljung, Per; Målqvist, Axel; Persson, Anna |
|
2021
|
Multiscale methods for problems with complex geometry. Zbl 1439.65161
Elfverson, Daniel; Larson, Mats G.; Målqvist, Axel |
|
2017
|
A mixed adaptive variational multiscale method with applications in oil reservoir simulation. Zbl 1257.65068
Larson, Mats G.; Målqvist, Axel |
|
2009
|
Uncertainty quantification for approximate \(p\)-quantiles for physical models with stochastic inputs. Zbl 1311.65003
Elfverson, Daniel; Estep, Donald J.; Hellman, Fredrik; Målqvist, Axel |
|
2014
|
A novel method for solving multiscale elliptic problems with randomly perturbed data. Zbl 1200.65005
Ginting, Victor; Målqvist, Axel; Presho, Michael |
|
2010
|
Iterative solution of spatial network models by subspace decomposition. Zbl 1525.65025
Görtz, Morgan; Hellman, Fredrik; Målqvist, Axel |
|
2024
|
Numerical upscaling for heterogeneous materials in fractured domains. Zbl 1491.65138
Hellman, Fredrik; Målqvist, Axel; Wang, Siyang |
|
2021
|
Finite element convergence analysis for the thermoviscoelastic Joule heating problem. Zbl 1457.65125
Målqvist, Axel; Stillfjord, Tony |
|
2017
|
Numerical homogenization of spatial network models. Zbl 1539.74002
Edelvik, F.; Görtz, M.; Hellman, F.; Kettil, G.; Målqvist, A. |
|
2024
|
Finite element convergence for the Joule heating problem with mixed boundary conditions. Zbl 1266.65193
Jensen, Max; Målqvist, Axel |
|
2013
|
Numerical mathematics and advanced applications 2009. Proceedings of ENUMATH 2009, the 8th European conference on numerical mathematics and advanced applications, Uppsala, Sweden, June 29–July 3, 2009. Zbl 1201.65003
|
|
2010
|
Nonparametric density estimation for randomly perturbed elliptic problems. III: Convergence, computational cost, and generalizations. Zbl 1295.65007
Estep, Donald; Holst, Michael J.; Målqvist, Axel |
|
2012
|
Iterative solution of spatial network models by subspace decomposition. Zbl 1525.65025
Görtz, Morgan; Hellman, Fredrik; Målqvist, Axel |
|
2024
|
Numerical homogenization of spatial network models. Zbl 1539.74002
Edelvik, F.; Görtz, M.; Hellman, F.; Kettil, G.; Målqvist, A. |
|
2024
|
A space-time multiscale method for parabolic problems. Zbl 1493.65158
Ljung, Per; Maier, Roland; Målqvist, Axel |
|
2022
|
Numerical homogenization by localized orthogonal decomposition. Zbl 1479.65001
Målqvist, A.; Peterseim, D. |
|
2021
|
A generalized finite element method for the strongly damped wave equation with rapidly varying data. Zbl 07523502
Ljung, Per; Målqvist, Axel; Persson, Anna |
|
2021
|
Numerical upscaling for heterogeneous materials in fractured domains. Zbl 1491.65138
Hellman, Fredrik; Målqvist, Axel; Wang, Siyang |
|
2021
|
Numerical upscaling of discrete network models. Zbl 1431.65208
Kettil, G.; Målqvist, A.; Mark, A.; Fredlund, M.; Wester, K.; Edelvik, F. |
|
2020
|
Numerical upscaling of perturbed diffusion problems. Zbl 1454.35079
Hellman, Fredrik; Keil, Tim; Målqvist, Axel |
|
2020
|
Efficient implementation of the localized orthogonal decomposition method. Zbl 1441.65100
Engwer, Christian; Henning, Patrick; Målqvist, Axel; Peterseim, Daniel |
|
2019
|
Numerical homogenization of elliptic PDEs with similar coefficients. Zbl 1428.65085
Hellman, Fredrik; Målqvist, Axel |
|
2019
|
Multiscale techniques for parabolic equations. Zbl 1401.65109
Målqvist, Axel; Persson, Anna |
|
2018
|
Multiscale differential Riccati equations for linear quadratic regulator problems. Zbl 1397.49047
Målqvist, Axel; Persson, Anna; Stillfjord, Tony |
|
2018
|
Contrast independent localization of multiscale problems. Zbl 1382.35093
Hellman, Frederik; Målqvist, Axel |
|
2017
|
A generalized finite element method for linear thermoelasticity. Zbl 1397.74191
Målqvist, Axel; Persson, Anna |
|
2017
|
The finite element method for the time-dependent Gross-Pitaevskii equation with angular momentum rotation. Zbl 1362.65105
Henning, Patrick; Målqvist, Axel |
|
2017
|
Generalized finite element methods for quadratic eigenvalue problems. Zbl 1360.65270
Målqvist, Axel; Peterseim, Daniel |
|
2017
|
Multiscale methods for problems with complex geometry. Zbl 1439.65161
Elfverson, Daniel; Larson, Mats G.; Målqvist, Axel |
|
2017
|
Finite element convergence analysis for the thermoviscoelastic Joule heating problem. Zbl 1457.65125
Målqvist, Axel; Stillfjord, Tony |
|
2017
|
A multilevel Monte Carlo method for computing failure probabilities. Zbl 1343.65004
Elfverson, Daniel; Hellman, Fredrik; Målqvist, Axel |
|
2016
|
Multiscale mixed finite elements. Zbl 1388.76144
Målqvist, Axel; Henning, Patrick; Hellman, Fredrik |
|
2016
|
Computation of eigenvalues by numerical upscaling. Zbl 1333.65127
Målqvist, Axel; Peterseim, Daniel |
|
2015
|
Localization of elliptic multiscale problems. Zbl 1301.65123
Målqvist, Axel; Peterseim, Daniel |
|
2014
|
A localized orthogonal decomposition method for semi-linear elliptic problems. Zbl 1300.35011
Henning, Patrick; Målqvist, Axel; Peterseim, Daniel |
|
2014
|
Localized orthogonal decomposition techniques for boundary value problems. Zbl 1303.35007
Henning, Patrick; Målqvist, Axel |
|
2014
|
Two-level discretization techniques for ground state computations of Bose-Einstein condensates. Zbl 1308.35272
Henning, Patrick; Målqvist, Axel; Peterseim, Daniel |
|
2014
|
Uncertainty quantification for approximate \(p\)-quantiles for physical models with stochastic inputs. Zbl 1311.65003
Elfverson, Daniel; Estep, Donald J.; Hellman, Fredrik; Målqvist, Axel |
|
2014
|
Convergence of a discontinuous Galerkin multiscale method. Zbl 1287.65101
Elfverson, Daniel; Georgoulis, Emmanuil H.; Målqvist, Axel; Peterseim, Daniel |
|
2013
|
An adaptive discontinuous Galerkin multiscale method for elliptic problems. Zbl 1283.65108
Elfverson, Daniel; Georgoulis, Emmanuil H.; Målqvist, Axel |
|
2013
|
Finite element convergence for the Joule heating problem with mixed boundary conditions. Zbl 1266.65193
Jensen, Max; Målqvist, Axel |
|
2013
|
Nonparametric density estimation for randomly perturbed elliptic problems. III: Convergence, computational cost, and generalizations. Zbl 1295.65007
Estep, Donald; Holst, Michael J.; Målqvist, Axel |
|
2012
|
Multiscale methods for elliptic problems. Zbl 1248.65124
Målqvist, Axel |
|
2011
|
A posteriori error estimates for mixed finite element approximations of parabolic problems. Zbl 1221.65242
Larson, Mats G.; Målqvist, Axel |
|
2011
|
Convergence analysis of finite element approximations of the Joule heating problem in three spatial dimensions. Zbl 1205.80084
Holst, Michael J.; Larson, Mats G.; Målqvist, Axel; Söderlund, Robert |
|
2010
|
A novel method for solving multiscale elliptic problems with randomly perturbed data. Zbl 1200.65005
Ginting, Victor; Målqvist, Axel; Presho, Michael |
|
2010
|
Numerical mathematics and advanced applications 2009. Proceedings of ENUMATH 2009, the 8th European conference on numerical mathematics and advanced applications, Uppsala, Sweden, June 29–July 3, 2009. Zbl 1201.65003
|
|
2010
|
An adaptive variational multiscale method for convection-diffusion problems. Zbl 1156.76047
Larson, Mats G.; Målqvist, Axel |
|
2009
|
Nonparametric density estimation for randomly perturbed elliptic problems. I: Computational methods, a posteriori analysis, and adaptive error control. Zbl 1194.65128
Estep, D.; Målqvist, A.; Tavener, S. |
|
2009
|
Nonparametric density estimation for randomly perturbed elliptic problems. II: Applications and adaptive modeling. Zbl 1176.76108
Estep, D.; Målqvist, A.; Tavener, S. |
|
2009
|
A mixed adaptive variational multiscale method with applications in oil reservoir simulation. Zbl 1257.65068
Larson, Mats G.; Målqvist, Axel |
|
2009
|
A posteriori error estimates for mixed finite element approximations of elliptic problems. Zbl 1136.65101
Larson, Mats G.; Målqvist, Axel |
|
2008
|
Adaptive variational multiscale methods based on a posteriori error estimation: energy norm estimates for elliptic problems. Zbl 1173.74431
Larson, Mats G.; Målqvist, Axel |
|
2007
|
Goal oriented adaptivity for coupled flow and transport problems with applications in oil reservoir simulations. Zbl 1173.76346
Larson, Mats G.; Målqvist, Axel |
|
2007
|
Adaptive variational multiscale methods based on a posteriori error estimation: duality techniques for elliptic problems. Zbl 1105.65353
Larson, Mats G.; Målqvist, Axel |
|
2005
|