Multi-atomic Young measure and artificial boundary in approximation of micromagnetics

DOI10.1016/j.apnum.2004.01.008zbMath1061.78015OpenAlexW2022227288WikidataQ57692553 ScholiaQ57692553MaRDI QIDQ1883486

Zhiping Li, Xiao-Nan Wu

Publication date: 12 October 2004

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2004.01.008

zbMATH Keywords

finite element methodmicrostructureunbounded domainYoung measureartificial boundaryMaxwell's equationnonconvex energy minimization

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Electro- and magnetostatics (78A30) Variational methods applied to problems in optics and electromagnetic theory (78M30)

Related Items (3)

A survey on artificial boundary method ⋮ Non-conforming finite element and artificial boundary in multi-atomic Young measure approximation for micromagnetics ⋮ Convergence and stability of a numerical method for micromagnetics

Cites Work

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• Energy minimizers for large ferromagnetic bodies
• Relaxation in ferromagnetism: The rigid case
• Parametrized measures and variational principles
• Analysis of artificial boundary conditions for exterior boundary value problems in three dimensions
• Finite order rank-one convex envelopes and computation of microstructures with laminates in laminates
• Grid generation and optimization based on centroidal Voronoi tessellations
• Beyond Young measures
• A periodic relaxation method for computing microstructures
• Boundary Conditions for the Numerical Solution of Elliptic Equations in Exterior Regions
• ROTATIONAL TRANSFORMATION METHOD AND SOME NUMERICAL TECHNIQUES FOR COMPUTING MICROSTRUCTURES
• The p‐version of the finite element method for domains with corners and for infinite domains
• Direct methods in the calculus of variations
• A mesh transformation method for computing microstructures
• Young measure approximation in micromagnetics
• Numerical analysis of relaxed micromagnetics by penalised finite elements

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