Explicit computational wave propagation in micro-heterogeneous media

An analysis of a class of variational multiscale methods based on subspace decomposition

(2018) Ralf Kornhuber et al.   MATHEMATICS OF COMPUTATION

Gamblets for opening the complexity-bottleneck of implicit schemes for hyperbolic and parabolic ODEs/PDEs with rough coefficients

(2017) Houman Owhadi et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Relaxing the CFL Condition for the Wave Equation on Adaptive Meshes

(2017) Daniel Peterseim et al.   JOURNAL OF SCIENTIFIC COMPUTING

Localized orthogonal decomposition method for the wave equation with a continuum of scales

(2016) Assyr Abdulle et al.   MATHEMATICS OF COMPUTATION

Eliminating the pollution effect in Helmholtz problems by local subscale correction

(2016) Daniel Peterseim   MATHEMATICS OF COMPUTATION

Numerical Homogenization of Elliptic Multiscale Problems by Subspace Decomposition

(2016) Ralf Kornhuber et al.   MULTISCALE MODELING & SIMULATION

Stable multiscale Petrov–Galerkin finite element method for high frequency acoustic scattering

(2015) D. Gallistl et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Localization of elliptic multiscale problems

(2014) Axel Målqvist et al.   MATHEMATICS OF COMPUTATION

Analysis of Heterogeneous Multiscale Methods for Long Time Wave Propagation Problems

(2014) Doghonay Arjmand et al.   MULTISCALE MODELING & SIMULATION

Multi-scale methods for wave propagation in heterogeneous media

(2013) Björn Engquist et al.   Communications in Mathematical Sciences

Polyharmonic homogenization, rough polyharmonic splines and sparse super-localization

(2013) Houman Owhadi et al.   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

Oversampling for the Multiscale Finite Element Method

(2013) Patrick Henning et al.   MULTISCALE MODELING & SIMULATION

Finite Element Heterogeneous Multiscale Method for the Wave Equation

(2011) Assyr Abdulle et al.   MULTISCALE MODELING & SIMULATION

Numerical homogenization of the acoustic wave equations with a continuum of scales

(2008) Houman Owhadi et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING