Fully automatic multigrid adaptive mesh refinement strategy with controlled accuracy for nonlinear quasi-static problems

DOI10.1016/j.cma.2022.115505OpenAlexW4295288974MaRDI QIDQ2083134

Daria Koliesnikova, Isabelle Ramière, Frédéric Lebon

Publication date: 10 October 2022

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2022.115505

zbMATH Keywords

adaptive mesh refinementerror controlall-quadrilateral and all-hexahedral meshfield transferlocal multigrid methodnonlinear solids mechanics

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Numerical and other methods in solid mechanics (74S99)

Cites Work

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• Three dimensional automatic refinement method for transient small strain elastoplastic finite element computations
• Conservative interpolation between unstructured meshes via supermesh construction
• On an h-type mesh-refinement strategy based on minimization of interpolation errors
• On a consistent field transfer in non linear inelastic analysis and ultimate load computation
• A comparison of mapping algorithms for hierarchical adaptive FEM in finite elasto-plasticity
• Error indicators and adaptive remeshing in large deformation finite element analysis
• A posteriori error estimation and adaptive mesh-refinement techniques
• Transfer operators for evolving meshes in small strain elasto-plasticity
• Convergence analysis of the local defect correction method for diffusion equations
• The \(h,p\) and \(h\)-\(p\) version of the finite element method; basis theory and applications
• Recovery procedures in error estimation and adaptivity. II: Adaptivity in nonlinear problems of elasto-plasticity behaviour
• A unified approach to remeshing strategies for finite element \(h\)-adaptivity
• A unified framework for the computational comparison of adaptive mesh refinement strategies for all-quadrilateral and all-hexahedral meshes: locally adaptive multigrid methods versus h-adaptive methods
• On the coupling of local multilevel mesh refinement and ZZ methods for unilateral frictional contact problems in elastostatics
• A 3D h-adaptive local remeshing technique for simulating the initiation and propagation of cracks in ductile materials
• Projection and transfer operators in adaptive isogeometric analysis with hierarchical B-splines
• Original geometrical stopping criteria associated to multilevel adaptive mesh refinement for problems with local singularities
• Information transfer between incompatible finite element meshes: Application to coupled thermo-viscoelasticity
• An a posteriori-based, fully adaptive algorithm with adaptive stopping criteria and mesh refinement for thermal multiphase compositional flows in porous media
• A fictitious domain approach with spread interface for elliptic problems with general boundary conditions
• On the finite element prediction of damage growth and fracture initiation in finitely deforming ductile materials
• Primer of Adaptive Finite Element Methods
• A simple error estimator and adaptive procedure for practical engineerng analysis
• Local Mesh Refinement Multilevel Techniques
• The superconvergent patch recovery anda posteriori error estimates. Part 1: The recovery technique
• The superconvergent patch recovery anda posteriori error estimates. Part 2: Error estimates and adaptivity
• The s-version of the finite element method
• Multi-Level Adaptive Solutions to Boundary-Value Problems
• H‐Adaptive finite element methods for dynamic problems, with emphasis on localization
• Rigorous Quantitative Analysis of Multigrid, I. Constant Coefficients Two-Level Cycle with $L_2 $-Norm
• h-Adaptive FE methods applied to single- and multiphase problems
• Concept de zoom adaptatif en architecture multigrille locale ; étude comparative des méthodes L.D.C., F.A.C. et F.I.C.

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