Mixed finite elements on sparse grids

DOI10.1007/S002110100382zbMATH Open1015.65065OpenAlexW2014494272MaRDI QIDQ1864517

Ralf Hiptmair, Vasile Gradinaru

Publication date: 18 March 2003

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002110100382

zbMATH Keywords

discrete differential formsmixed finite elementinterpolation estimatesmultiscale decompositionhierarchical basisapproximate interpolation proceduresdiscrete inf-sup conditionsmixed second order problemstensor product meshes

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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Numerical differentiation (65D25)

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Two-scale sparse finite element approximations ⋮ Locking-Free Mixed Finite Element Methods and Their Spurious Hourglassing Patterns ⋮ A sparse matrix scheme for finite elements

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