Heterogeneous asynchronous time integrators for computational structural dynamics (Q2952676)

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English	Heterogeneous asynchronous time integrators for computational structural dynamics	scientific article

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scholarly article

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Heterogeneous asynchronous time integrators for computational structural dynamics (English)

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Anthony Gravouil

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Alain Combescure

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International Journal for Numerical Methods in Engineering

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publication date

30 December 2016

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describes a project that uses

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ABAQUS/Standard

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1002/nme.4818

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Survey of the stability of linear finite difference equations

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A special stability problem for linear multistep methods

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Stability, convergence and growth and decay of energy of the average acceleration method in nonlinear structural dynamics

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Implicit-Explicit Finite Elements in Transient Analysis: Stability Theory

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Stability of explicit‐implicit mesh partitions in time integration

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Implicit-explicit finite elements in nonlinear transient analysis

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Mixed methods for time integration

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An alpha modification of Newmark's method

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Partitioned Transient Analysis Procedures for Coupled-Field Problems: Stability Analysis

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Mixed-time implicit-explicit finite elements for transient analysis

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A unified set of single step algorithms. Part 1: General formulation and applications

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Stability of multi-time step partitioned integrators for first-order finite element systems

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Multi-time-step integration using nodal partitioning

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Space-time finite element methods for elastodynamics: Formulations and error estimates

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Time integration of the equations of motion in mechanism analysis

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Space-time finite element methods for second-order hyperbolic equations

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A method of finite element tearing and interconnecting and its parallel solution algorithm

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Unconditionally stable algorithms for rigid body dynamics that exactly preserve energy and momentum

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Error estimation and adaptivity in elastodynamics

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The discrete energy-momentum method. Conserving algorithms for nonlinear elastodynamics

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An explicit multi-time step integration method for second order equations

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Stability analysis of a multi-time step explicit integration method

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Exact energy-momentum conserving algorithms and symplectic schemes for nonlinear dynamics

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Time finite element methods for structural dynamics

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Stability analysis of elemental explicit-implicit partitions by Fourier methods

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Explicit multi-time step integration for first and second order finite element semidiscretizations

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High-order Taylor-Galerkin and adaptive \(h\)-\(p\) methods for second-order hyperbolic systems: Application to elastodynamics

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A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method

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A transient FETI methodology for large‐scale parallel implicit computations in structural mechanics

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An explicit finite element method for the wave equation

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A family of single-step Houbolt time integration algorithms for structural dynamics

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A concurrent explicit-implicit algorithm in structural dynamics

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Implicit time integration of a class of constrained hybrid formulations. I. Spectral stability theory.

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Numerical integration of non‐linear elastic multi‐body systems

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An \(L\)-stable Rosenbrock method for step-by-step time integration in structural dynamics.

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A hierarchical time adaptive refinement scheme for the finite element elastodynamics

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Formulation and analysis of variational methods for time integration of linear elastodynamics

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Stability of an explicit multi-time step integration algorithm for linear structural dynamics equations

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Explicit time integration algorithms for structural dynamics with optimal numerical dissipation

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DESIGN OF ENERGY CONSERVING ALGORITHMS FOR FRICTIONLESS DYNAMIC CONTACT PROBLEMS

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Analysis and implementation of a new constant acceleration subcycling algorithm

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The subcycled Newmark algorithm

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A study of the stability of subcycling algorithms in structural dynamics

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Subcycling first- and second-order generalizations of the trapezoidal rule

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On constitutive equations for arbitrary stress-strain control in multi-surface plasticity

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Formulation and analysis of conserving algorithms for frictionless dynamic contact/ impact problems

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Stability of explicit subcycling time integration with linear interpolation for first-order finite element semidiscretizations

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Load and motion transfer algorithms for fluid/structure interaction problems with non-matching discrete interfaces: Momentum and energy conservation, optimal discretization and application to aeroelasticity

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Numerical aspects of the sweeping process

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The non-smooth contact dynamics method

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Adaptive finite element procedures for linear and non-linear dynamics

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A variational principle for the formulation of partitioned structural systems

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Numerical stability analysis in structural dynamics

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A multi-time step integration algorithm for structural dynamics based on the modified trapezoidal rule

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Partitioned analysis of coupled mechanical systems

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Partitioned procedures for the transient solution of coupled aeroelastic problems. II: Energy transfer analysis and three-dimensional applications

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Optimal time integration parameters for elastodynamic contact problems

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On the formulation of high-frequency dissipative time-stepping algorithms for nonlinear dynamics. I: Low-order methods for two model problems and nonlinear elastodynamics

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On the formulation of high-frequency dissipative time-stepping algorithms for nonlinear dynamics. II: Second-order methods.

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Discrete mechanics and variational integrators

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Integration of elastic multibody systems by invariant conserving/dissipating algorithms. I: Formulation. II: Numerical schemes and applications

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Alternative characterization of time integration schemes

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Multi-time-step explicit-implicit method for non-linear structural dynamics

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Conservation properties of a time FE method?part II: Time-stepping schemes for non-linear elastodynamics

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A numerical scheme to couple subdomains with different time-steps for predominantly linear transient analysis

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Time-discretized variational formulation of non-smooth frictional contact

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The analysis of the generalized-\(\alpha\) method for nonlinear dynamic problems

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An approach to the connection between subdomains with non-matching meshes for transient mechanical analysis

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Multi-time-step and two-scale domain decomposition method for non-linear structural dynamics

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The relevance of conservation for stability and accuracy of numerical methods for fluid-structure interaction.

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A time and space mortar method for coupling linear modal subdomains and nonlinear subdomains in explicit structural dynamics

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Explicit/implicit partitioning and a new explicit form of the generalized alpha method

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A partial velocity approach to subcycling structural dynamics.

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Asynchronous variational integrators

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Local modal reduction in explicit dynamics with domain decomposition. Part 1: extension to subdomains undergoing finite rigid rotations

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Local modal reduction in explicit dynamics with domain decomposition. Part 2: specific interface treatment when modal subdomains are involved

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Combined implicit/explicit time-integration algorithms for the numerical simulation of sheet metal forming

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A FETI‐based multi‐time‐step coupling method for Newmark schemes in structural dynamics

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A spacetime discontinuous Galerkin method for scalar conservation laws

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Spacetime meshing with adaptive refinement and coarsening

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Properties of time integration with first order filter damping

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A combined space-time extended finite element method

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

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A space-time discontinuous Galerkin method for linearized elastodynamics with element-wise momentum balance

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Provably second-order time-accurate loosely-coupled solution algorithms for transient nonlinear computational aeroelasticity

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Energy conservation in Newmark based time integration algorithms

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Energy-controlling time integration methods for nonlinear elastodynamics and low-velocity impact

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State-space time integration with energy control and fourth-order accuracy for linear dynamic systems

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A generalized space–time mathematical homogenization theory for bridging atomistic and continuum scales

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Convergence of the generalized-\(\alpha\) scheme for constrained mechanical systems

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Two level algorithms for partitioned fluid-structure interaction computations

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The role of geometric stiffness in momentum and energy conserving time integration

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Parallel asynchronous variational integrators

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Convergence of asynchronous variational integrators in linear elastodynamics

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Stability of asynchronous variational integrators

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Extended state-space time integration with high-frequency energy dissipation

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Convergence analysis of a parallel interfield method for heterogeneous simulations with dynamic substructuring

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Algorithms by Design: Part I—On the Hidden Point Collocation Within LMS Methods and Implications for Nonlinear Dynamics Applications

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Binary spatial partitioning of the central-difference time integration scheme for explicit fast transient dynamics

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Algorithms by Design: Part III—A Novel Normalized Time Weighted Residual Methodology and Design of Optimal Symplectic-Momentum Based Controllable Numerical Dissipative Algorithms for Nonlinear Structural Dynamics

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Energy conservation of atomistic/continuum coupling

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Algorithms by Design: Part II—A Novel Normalized Time Weighted Residual Methodology and Design of a Family of Symplectic-Momentum Conserving Algorithms for Nonlinear Structural Dynamics

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Thermodynamically consistent time-stepping algorithms for non-linear thermomechanical systems

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Algorithms by design: A new normalized time-weighted residual methodology and design of a family of energy-momentum conserving algorithms for non-linear structural dynamics

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Coupling subdomains with heterogeneous time integrators and incompatible time steps

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Multi-time-step domain coupling method with energy control

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Novel generalized-\(\alpha \) methods for interfield parallel integration of heterogeneous structural dynamic systems

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Asynchronous multi-domain variational integrators for nonlinear hyperelastic solids

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A monolithic energy conserving method to couple heterogeneous time integrators with incompatible time steps in structural dynamics

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On the accuracy of invariant numerical schemes

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Comparison of some Lie-symmetry-based integrators

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Arlequin framework for multi-model, multi-time scale and heterogeneous time integrators for structural transient dynamics

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An explicit asynchronous contact algorithm for elastic body-rigid wall interaction

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A domain decomposition approach for the simulation of fracture phenomena in polycrystalline microsystems

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A simple explicit-implicit finite element tearing and interconnecting transient analysis algorithm

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Three dimensional automatic refinement method for transient small strain elastoplastic finite element computations

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A domain decomposition technique applied to the solution of the coupled electro-mechanical problem

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Space-time proper generalized decompositions for the resolution of transient elastodynamic models

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On multi-time-step monolithic coupling algorithms for elastodynamics

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Identifiers

zbMATH Open document ID

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10.1002/nme.4818

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2952676

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