Automatic energy conserving space-time refinement for linear dynamic structural problems

DOI10.1002/nme.1366zbMath1181.74132OpenAlexW2119130742MaRDI QIDQ5466988

A. A. Lubrecht, P. Cavin, Anthony Gravouil, Alain Combescure

Publication date: 23 May 2006

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.1366

zbMATH Keywords

local mesh refinementcontrolled precisionerror indicator and energy method

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)

Related Items (13)

Adaptive isogeometric analysis for transient dynamics: space-time refinement based on hierarchical a-posteriori error estimations ⋮ Adaptive mesh refinement and coarsening for cohesive zone modeling of dynamic fracture ⋮ Enriched space-time finite element method: a new paradigm for multiscaling from elastodynamics to molecular dynamics ⋮ Heterogeneous asynchronous time integrators for computational structural dynamics ⋮ Three dimensional automatic refinement method for transient small strain elastoplastic finite element computations ⋮ Ideal minimal residual-based proper generalized decomposition for non-symmetric multi-field models -- application to transient elastodynamics in space-time domain ⋮ Binary spatial partitioning of the central-difference time integration scheme for explicit fast transient dynamics ⋮ Study on sub-cycling for flexible multi-body dynamics based on Newmark method ⋮ Multigrid solver with automatic mesh refinement for transient elastoplastic dynamic problems ⋮ Convergence, adaptive refinement, and scaling in 1D peridynamics ⋮ Efficient finite element solution of regular and near-regular systems using graph products ⋮ Study on sub-cycling algorithm for flexible multi-body system---integral theory and implementation flow chart ⋮ Coupling subdomains with heterogeneous time integrators and incompatible time steps

Cites Work

• Implicit-Explicit Finite Elements in Transient Analysis: Stability Theory
• Implicit-Explicit Finite Elements in Transient Analysis: Implementation and Numerical Examples

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