Evaluation of Local Multiscale Approximation Spaces for Partition of Unity Methods

DOI10.1007/978-3-319-51954-8_9zbMath1446.74081OpenAlexW2605206284MaRDI QIDQ4554200

Marc Alexander Schweitzer, Sa Wu

Publication date: 13 November 2018

Published in: Meshfree Methods for Partial Differential Equations VIII (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-51954-8_9

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Thermal effects in solid mechanics (74F05) Random materials and composite materials (74A40)

Related Items (3)

Multiscale-spectral GFEM and optimal oversampling ⋮ Angles between subspaces and nearly optimal approximation in GFEM ⋮ Randomized Sampling for Basis Function Construction in Generalized Finite Element Methods

Uses Software

• FEniCS

Cites Work

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• The partition of unity finite element method: basic theory and applications
• On principles for the selection of shape functions for the generalized finite element method
• Machine Computation Using the Exponentially Convergent Multiscale Spectral Generalized Finite Element Method
• Localized Bases for Finite-Dimensional Homogenization Approximations with Nonseparated Scales and High Contrast
• Optimal Local Approximation Spaces for Generalized Finite Element Methods with Application to Multiscale Problems
• A new multiscale finite element method for high-contrast elliptic interface problems
• Special Finite Element Methods for a Class of Second Order Elliptic Problems with Rough Coefficients
• THE PARTITION OF UNITY METHOD
• Korn’s Inequalities and Their Applications in Continuum Mechanics
• Variational Mass Lumping in the Partition of Unity Method

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