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Convergence of a Finite Element-Based Space-Time Discretization in Elastodynamics

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-3-0348-8886-8openalex-snapshot
Parametrized Measures and Variational Principles
inferredcites →https://doi.org/10.1007/bf00375439openalex-snapshot
Energy minimization and the formation of microstructure in dynamic anti-plane shear
inferredcites →https://doi.org/10.1007/bf00380893openalex-snapshot
Dynamics as a mechanism preventing the formation of finer and finer microstructure
inferredcites →https://doi.org/10.1007/bf01049487openalex-snapshot
Dynamics of measured valued solutions to a backward-forward heat equation
inferredcites →https://doi.org/10.1007/bf01209147openalex-snapshot
On the dynamics of fine structure
inferredcites →https://doi.org/10.1007/s00205-005-0404-3openalex-snapshot
Structural Properties of Stress Relaxation and Convergence from Viscoelasticity to Polyconvex Elastodynamics
inferredcites →https://doi.org/10.1007/s002050000115openalex-snapshot
Weak Solutions for a Class of Nonlinear Systems of Viscoelasticity
inferredcites →https://doi.org/10.1007/s002050100137openalex-snapshot
A Variational Approximation Scheme for¶Three-Dimensional Elastodynamics¶with Polyconvex Energy
inferredcites →https://doi.org/10.1016/s0294-1449(97)80152-7openalex-snapshot
Young measure solutions for nonlinear evolutionary systems of mixed type
inferredcites →https://doi.org/10.1051/m2an:2004019openalex-snapshot
Young-Measure approximations for elastodynamics with non-monotone stress-strain relations
inferredcites →https://doi.org/10.1090/s0025-5718-1987-0878688-2openalex-snapshot
The stability in $L\sb p$ and $W\sp 1\sb p$ of the $L\sb 2$-projection onto finite element function spaces
inferredcites →https://doi.org/10.1090/surv/049openalex-snapshot
Monotone Operators in Banach Space and Nonlinear Partial Differential Equations
inferredcites →https://doi.org/10.1098/rspa.1997.0130openalex-snapshot
Dynamic stability of non–minimizing phase mixtures
inferredcites →https://doi.org/10.1115/1.3424338openalex-snapshot
Navier Stokes Equations: Theory and Numerical Analysis
inferredcites →https://doi.org/10.1137/s0036141001392141openalex-snapshot
Young Measure Solutions for Nonconvex Elastodynamics
inferredcites →https://doi.org/10.1137/s0036141095285958openalex-snapshot
Implicit Time Discretization and Global Existence for a Quasi-Linear Evolution Equation with Nonconvex Energy
inferredcites →https://doi.org/10.1137/s0036142901393413openalex-snapshot
Time-Space Discretization of the Nonlinear Hyperbolic System u tt = div (\sigma( Du )+ Du t )
inferredcites →https://doi.org/10.4171/ifb/116openalex-snapshot
Phase transitions and sharp-interface limits for the 1d-elasticity system with non-local energy

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/s00033-017-0863-zopenalex-snapshot
Convergence of a full discretization for a second-order nonlinear elastodynamic equation in isotropic and anisotropic Orlicz spaces
inferred← citeshttps://doi.org/10.1007/s00033-023-02175-7openalex-snapshot
Thermodynamics of viscoelastic solids, its Eulerian formulation, and existence of weak solutions
inferred← citeshttps://doi.org/10.1007/s00205-018-1326-1openalex-snapshot
Two-Phase Solutions for One-Dimensional Non-convex Elastodynamics
inferred← citeshttps://doi.org/10.1007/s00707-024-03959-2openalex-snapshot
Some gradient theories in linear visco-elastodynamics towards dispersion and attenuation of waves in relation to large-strain models
inferred← citeshttps://doi.org/10.1007/s42985-021-00136-1openalex-snapshot
Newton’s second law with a semiconvex potential
inferred← citeshttps://doi.org/10.1016/j.jde.2013.07.065openalex-snapshot
Evolution equations of second order with nonconvex potential and linear damping: existence via convergence of a full discretization
inferred← citeshttps://doi.org/10.1016/j.jde.2024.09.034openalex-snapshot
Stability and convergence of in time approximations of hyperbolic elastodynamics via stepwise minimization
inferred← citeshttps://doi.org/10.1088/0951-7715/28/1/285openalex-snapshot
Measure-valued and weak solutions to the nonlinear peridynamic model in nonlocal elastodynamics
inferred← citeshttps://doi.org/10.1090/s0025-5718-09-02231-5openalex-snapshot
Approximation of nonlinear wave equations with nonstandard anisotropic growth conditions
inferred← citeshttps://doi.org/10.1093/amrx/abv003openalex-snapshot
On the Evolutionary Fractionalp-Laplacian
inferred← citeshttps://doi.org/10.1515/cmam-2015-0020openalex-snapshot
Survey of Existence Results in Nonlinear Peridynamics in Comparison with Local Elastodynamics
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