A multiscale method for linear elasticity reducing Poisson locking

• We propose a generalized finite element method for linear elasticity equations with highly varying and oscillating coefficients. The method is formulated in the framework of localized orthogonal decomposition techniques introduced by Målqvist and Peterseim (2014). Assuming only L∞-coefficients we prove linear convergence in the H1-norm, also for materials with large Lamé parameter λ. The theoretical a priori error estimate is confirmed by numerical examples.

Ämnesord

NATURVETENSKAP  -- Matematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics (hsv//eng)

NATURVETENSKAP  -- Matematik -- Beräkningsmatematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Computational Mathematics (hsv//eng)

NATURVETENSKAP  -- Matematik -- Matematisk analys (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Mathematical Analysis (hsv//eng)

Nyckelord

Generalized finite element

Linear elasticity

LOD

Multiscale

Poisson locking

Elasticity

Locks (fasteners)

Generalized finite element methods

Generalized finite elements

Linear elasticity equations

Orthogonal decomposition techniques

Priori error estimate

Finite element method

Linear elasticity

Multiscale

Generalized finite element

LOD

Poisson locking

Publikations- och innehållstyp

ref (ämneskategori)

art (ämneskategori)