Nonlocal Allen-Cahn systems: analysis and a primal-dual active set method

DOI10.1093/imanum/drs039zbMath1279.65087OpenAlexW2165979045MaRDI QIDQ2856615

Lavinia Sarbu, Harald Garcke, Vanessa Styles, Luise Blank

Publication date: 30 October 2013

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/cb063d0089783d289ba2fb5e23754ed99e491b5e

zbMATH Keywords

variational inequalitynumerical examplesfinite elementAllen-Cahn systemssemismooth Newton methodvector-valued obstacle problemsimplicit Euler discretizationprimal-dual active set methodnonlocal constraints

Mathematics Subject Classification ID

Variational inequalities (49J40) Newton-type methods (49M15) Numerical methods for variational inequalities and related problems (65K15)

Related Items (9)

Preconditioning nonlocal multi-phase flow ⋮ Numerical approximation of multi-phase Penrose-Fife systems ⋮ Preconditioning for Vector-Valued Cahn--Hilliard Equations ⋮ Multi-material Phase Field Approach to Structural Topology Optimization ⋮ A relaxation approach to vector-valued Allen-Cahn MPEC problems ⋮ Sharp-interface limit of a multi-phase spectral shape optimization problem for elastic structures ⋮ Stability and error estimates of Strang splitting method for the nonlocal ternary conservative Allen-Cahn model ⋮ Preconditioning for Allen-Cahn variational inequalities with non-local constraints ⋮ Optimal Control of Elastic Vector-Valued Allen--Cahn Variational Inequalities

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