Found 50 Documents (Results 1–50)
Partially explicit generalized multiscale finite element methods for poroelasticity problem. (English) Zbl 07878287
A CutFE-LOD method for the multiscale elliptic problems on complex domains. (English) Zbl 1541.65167
Error bounds for discrete minimizers of the Ginzburg-Landau energy in the high-\(\kappa\) regime. (English) Zbl 1542.65157
Reviewer: Julian Streitberger (Wien)
An adaptive global-local generalized FEM for multiscale advection-diffusion problems. (English) Zbl 1539.65173
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
An elliptic local problem with exponential decay of the resonance error for numerical homogenization. (English) Zbl 1518.35042
Constraint energy minimizing generalized multiscale finite element method for inhomogeneous boundary value problems with high contrast coefficients. (English) Zbl 1514.65181
A transient global-local generalized FEM for parabolic and hyperbolic PDEs with multi-space/time scales. (English) Zbl 07696956
Convergence of trigonometric and finite-difference discretization schemes for FFT-based computational micromechanics. (English) Zbl 1510.74129
Local multiscale model reduction using discontinuous Galerkin coupling for elasticity problems. (English) Zbl 1536.76080
Novel design and analysis of generalized finite element methods based on locally optimal spectral approximations. (English) Zbl 1540.65490
Convergence analysis of the localized orthogonal decomposition method for the semiclassical Schrödinger equations with multiscale potentials. (English) Zbl 1503.65275
Numerical upscaling for wave equations with time-dependent multiscale coefficients. (English) Zbl 1508.65132
Reviewer: Giovanni Nastasi (Catania)
A combined multiscale finite element method based on the LOD technique for the multiscale elliptic problems with singularities. (English) Zbl 07592140
Error estimates for discrete generalized FEMs with locally optimal spectral approximations. (English) Zbl 1521.65126
Multiscale finite element methods for an elliptic optimal control problem with rough coefficients. (English) Zbl 1490.65260
Numerical homogenization beyond scale separation. (English) Zbl 07674568
MSC:
65Mxx
A generalized finite element method for the strongly damped wave equation with rapidly varying data. (English) Zbl 07523502
A parabolic local problem with exponential decay of the resonance error for numerical homogenization. (English) Zbl 07466873
Asymptotic analysis of nonlinear Robin-type boundary value problems with small periodic structure. (English) Zbl 1473.65322
A combined finite element method for parabolic equations posted in domains with rough boundaries. (English) Zbl 1480.65272
Computational high frequency scattering from high-contrast heterogeneous media. (English) Zbl 1448.35118
Efficient implementation of the localized orthogonal decomposition method. (English) Zbl 1441.65100
MSC:
65N30
Multiscale differential Riccati equations for linear quadratic regulator problems. (English) Zbl 1397.49047
Numerical homogenization of \(\mathbf H(\mathrm{curl})\)-problems. (English) Zbl 1402.65178
Reviewer: Jichun Li (Las Vegas)
A combined finite element method for elliptic problems posted in domains with rough boundaries. (English) Zbl 1383.65144
Multiscale techniques for parabolic equations. (English) Zbl 1401.65109
Reviewer: Temur A. Jangveladze (Tbilisi)
Localized orthogonal decomposition method for the wave equation with a continuum of scales. (English) Zbl 1358.65064
Variational multiscale stabilization and the exponential decay of fine-scale correctors. (English) Zbl 1357.65265
Barrenechea, Gabriel R. (ed.) et al., Building bridges: connections and challenges in modern approaches to numerical partial differential equations. Selected papers based on the presentations at the 101st LMS-EPSRC symposium, Durham, UK, July 8–16, 2014. Cham: Springer (ISBN 978-3-319-41638-0/hbk; 978-3-319-41640-3/ebook). Lecture Notes in Computational Science and Engineering 114, 343-369 (2016).
A multiscale finite element method for oscillating Neumann problem on rough domain. (English) Zbl 1388.74103
Robust numerical upscaling of elliptic multiscale problems at high contrast. (English) Zbl 1348.65169
Computation of eigenvalues by numerical upscaling. (English) Zbl 1333.65127
Reviewer: Gunther Schmidt (Berlin)
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