Goal-oriented \(r\)-adaptivity based on variational arguments in the physical and material spaces
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Publication:660382
DOI10.1016/j.cma.2009.06.015zbMath1230.74191OpenAlexW2019053034MaRDI QIDQ660382
Franz-Joseph Barthold, Daniel Materna
Publication date: 1 February 2012
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.2009.06.015
energy minimizationvariational principlesmesh optimizationconfigurational mechanicsgoal-oriented \(r\)-adaptivity
Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05) Energy minimization in equilibrium problems in solid mechanics (74G65)
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An integrated approach to shape optimization and mesh adaptivity based on material residual forces ⋮ Fast \(r\)-adaptivity for multiple queries of heterogeneous stochastic material fields ⋮ Variational sensitivity analysis of a nonlinear solid shell element ⋮ Finite element modelling of geophysical electromagnetic data with goal-oriented \(hr\)-adaptivity ⋮ The inner structure of sensitivities in nodal based shape optimisation ⋮ Strategies for planar crack propagation based on the concept of material forces ⋮ A level set approach to domain wall kinetics and domain patterning in elastic ferroelectrics ⋮ Two-scale shape optimisation based on numerical homogenisation techniques and variational sensitivity analysis
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