A periodic relaxation method for computing microstructures

DOI10.1016/S0168-9274(99)00024-0zbMath0978.74073OpenAlexW2053105558WikidataQ127012784 ScholiaQ127012784MaRDI QIDQ1971372

Zhiping Li

Publication date: 31 January 2002

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(99)00024-0

zbMATH Keywords

convergencelaminated microstructuresfinite element solutionsminimizing sequencehigh-order error boundsnonquasiconvex energy densityperiodic relaxation method

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Impact in solid mechanics (74M20)

Related Items (10)

Multi-atomic Young measure and artificial boundary in approximation of micromagnetics ⋮ Numerical analysis and computation of a multi-order laminated microstructure ⋮ Computation of length scales for second-order laminated microstructure with surface energy ⋮ An averaging scheme for macroscopic numerical simulation of nonconvex minimization problems ⋮ Computation of the lower semicontinuous envelope of integral functionals and non-homogeneous microstructures ⋮ The mesh transformation method and optimal finite element solutions ⋮ MULTISCALE MODELLING AND COMPUTATION OF MICROSTRUCTURES IN MULTI-WELL PROBLEMS ⋮ Computations of needle-like microstructures ⋮ Non-conforming finite element and artificial boundary in multi-atomic Young measure approximation for micromagnetics ⋮ A regularized mesh transformation method for the computation of crystalline microstructures

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