Sparse Finite Element Method for Periodic Multiscale Nonlinear Monotone Problems

DOI10.1137/070698683zbMath1185.35014OpenAlexW1974052817MaRDI QIDQ3182781

Viet Hà Hoàng

Publication date: 16 October 2009

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/070698683

zbMATH Keywords

convergence rateserror estimatessparse tensor productsmonotone nonlinearity

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (10)

Essentially optimal finite elements for multiscale elliptic eigenvalue problems ⋮ Numerical homogenization beyond scale separation ⋮ Linearized Numerical Homogenization Method for Nonlinear Monotone Parabolic Multiscale Problems ⋮ Sparse tensor product high dimensional finite elements for two-scale mixed problems ⋮ Quantized Tensor FEM for Multiscale Problems: Diffusion Problems in Two and Three Dimensions ⋮ Finite element heterogeneous multiscale method for nonlinear monotone parabolic homogenization problems ⋮ Sparse tensor finite elements for elastic wave equation with multiple scales ⋮ High dimensional finite element method for multiscale nonlinear monotone parabolic equations ⋮ High dimensional finite elements for two-scale Maxwell wave equations ⋮ High Dimensional Finite Elements for Multiscale Wave Equations

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