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Space-Time Isogeometric Analysis for linear and non-linear elastodynamics

https://doi.org/10.1016/j.compstruc.2021.106594
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What this work says

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

inferredcites →https://doi.org/10.1002/eqe.4290050306openalex-snapshot
Improved numerical dissipation for time integration algorithms in structural dynamics
inferredcites →https://doi.org/10.1002/fld.4414openalex-snapshot
Simplex space‐time meshes in two‐phase flow simulations
inferredcites →https://doi.org/10.1002/nme.1368openalex-snapshot
A combined space-time extended finite element method
inferredcites →https://doi.org/10.1002/nme.1620010304openalex-snapshot
A general theory of finite elements. II. Applications
inferredcites →https://doi.org/10.1002/nme.1620080304openalex-snapshot
Transient two‐dimensional heat conduction problems solved by the finite element method
inferredcites →https://doi.org/10.1002/nme.1620151005openalex-snapshot
Space–time elements for the shock wave propagation problem
inferredcites →https://doi.org/10.1002/nme.1620170302openalex-snapshot
The fourth‐dimention concept in the finite element analysis of transient heat transfer problems
inferredcites →https://doi.org/10.1002/nme.1620231105openalex-snapshot
Triangular and tetrahedral space‐time finite elements in vibration analysis
inferredcites →https://doi.org/10.1002/nme.1620240909openalex-snapshot
Notes on the stability of non‐rectangular space–time finite elements
inferredcites →https://doi.org/10.1002/nme.2258openalex-snapshot
The enriched space–time finite element method (EST) for simultaneous solution of fluid–structure interaction
inferredcites →https://doi.org/10.1002/nme.2311openalex-snapshot
NURBS‐enhanced finite element method (NEFEM)
inferredcites →https://doi.org/10.1002/nme.2485openalex-snapshot
A space–time discontinuous Galerkin method for the solution of the wave equation in the time domain
inferredcites →https://doi.org/10.1002/nme.3164openalex-snapshot
3D NURBS‐enhanced finite element method (NEFEM)
inferredcites →https://doi.org/10.1002/nme.4818openalex-snapshot
Heterogeneous asynchronous time integrators for computational structural dynamics
inferredcites →https://doi.org/10.1002/nme.5778openalex-snapshot
Weakening the tight coupling between geometry and simulation in isogeometric analysis: From sub‐ and super‐geometric analysis to Geometry‐Independent Field approximaTion (GIFT)
inferredcites →https://doi.org/10.1006/jsvi.1994.1250openalex-snapshot
Application of Triangular Space-Time Finite Elements to Problems of Wave Propagation
inferredcites →https://doi.org/10.1007/978-3-642-97385-7openalex-snapshot
The NURBS Book
inferredcites →https://doi.org/10.1007/bf02995904openalex-snapshot
Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind
inferredcites →https://doi.org/10.1007/s00161-018-0680-4openalex-snapshot
Hybrid free energy approach for nearly incompressible behaviors at finite strain
inferredcites →https://doi.org/10.1007/s00466-013-0955-3openalex-snapshot
Nitsche’s method for two and three dimensional NURBS patch coupling
inferredcites →https://doi.org/10.1007/s00466-019-01746-8openalex-snapshot
Space–time computational analysis of tire aerodynamics with actual geometry, road contact, tire deformation, road roughness and fluid film
inferredcites →https://doi.org/10.1016/0021-9991(75)90100-xopenalex-snapshot
Numerical solution of the eulerian equations of compressible flow by a finite element method which follows the free boundary and the interfaces
inferredcites →https://doi.org/10.1016/0021-9991(77)90019-5openalex-snapshot
Numerical computation of the free boundary for the two-dimensional Stefan problem by space-time finite elements
inferredcites →https://doi.org/10.1016/0029-5493(69)90081-8openalex-snapshot
Finite elements in time and space
inferredcites →https://doi.org/10.1016/0041-5553(82)90095-7openalex-snapshot
Isogeometric approximation of functions of one variable
inferredcites →https://doi.org/10.1016/0045-7825(84)90012-4openalex-snapshot
A space-time least-square finite element scheme for advection-diffusion equations
inferredcites →https://doi.org/10.1016/0045-7825(87)90074-0openalex-snapshot
Stability, convergence and accuracy of a new finite element method for the circular arch problem
inferredcites →https://doi.org/10.1016/0045-7825(87)90168-xopenalex-snapshot
Mixed Petrov-Galerkin methods for the Timoshenko beam problem
inferredcites →https://doi.org/10.1016/0045-7825(88)90006-0openalex-snapshot
Space-time finite element methods for elastodynamics: Formulations and error estimates
inferredcites →https://doi.org/10.1016/0045-7825(89)90085-6openalex-snapshot
The Galerkin gradient least-squares method
inferredcites →https://doi.org/10.1016/0045-7825(90)90082-wopenalex-snapshot
Space-time finite element methods for second-order hyperbolic equations
inferredcites →https://doi.org/10.1016/0045-7825(92)90073-sopenalex-snapshot
Discontinuity-capturing operators for elastodynamics
inferredcites →https://doi.org/10.1016/0045-7825(93)90172-topenalex-snapshot
A space-time finite element method for the wave equation
inferredcites →https://doi.org/10.1016/0045-7949(86)90096-9openalex-snapshot
The viscoelastic space-time element
inferredcites →https://doi.org/10.1016/j.cagd.2012.12.005openalex-snapshot
Polynomial splines over locally refined box-partitions
inferredcites →https://doi.org/10.1016/j.camwa.2020.09.014openalex-snapshot
An efficient solver for space–time isogeometric Galerkin methods for parabolic problems
inferredcites →https://doi.org/10.1016/j.cma.2004.07.011openalex-snapshot
Proof of unconditional stability for a single-field discontinuous Galerkin finite element formulation for linear elasto-dynamics
inferredcites →https://doi.org/10.1016/j.cma.2004.07.019openalex-snapshot
Adaptive space–time finite element methods for the wave equation on unbounded domains
inferredcites →https://doi.org/10.1016/j.cma.2004.10.008openalex-snapshot
Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
inferredcites →https://doi.org/10.1016/j.cma.2006.09.019openalex-snapshot
Solution of linear elastodynamics problems with space–time finite elements on structured and unstructured meshes
inferredcites →https://doi.org/10.1016/j.cma.2007.11.005openalex-snapshot
A space–time discontinuous Galerkin finite element method for fully coupled linear thermo-elasto-dynamic problems with strain and heat flux discontinuities
inferredcites →https://doi.org/10.1016/j.cma.2011.08.014openalex-snapshot
Rotation free isogeometric thin shell analysis using PHT-splines
inferredcites →https://doi.org/10.1016/j.cma.2011.11.022openalex-snapshot
Local refinement of analysis-suitable T-splines
inferredcites →https://doi.org/10.1016/j.cma.2012.04.014openalex-snapshot
A simple algorithm for obtaining nearly optimal quadrature rules for NURBS-based isogeometric analysis
inferredcites →https://doi.org/10.1016/j.cma.2012.11.003openalex-snapshot
Space–time proper generalized decompositions for the resolution of transient elastodynamic models
inferredcites →https://doi.org/10.1016/j.cma.2013.10.009openalex-snapshot
Weak coupling for isogeometric analysis of non-matching and trimmed multi-patch geometries
inferredcites →https://doi.org/10.1016/j.cma.2016.03.013openalex-snapshot
Subdivision based mixed methods for isogeometric analysis of linear and nonlinear nearly incompressible materials
inferredcites →https://doi.org/10.1016/j.cma.2016.03.042openalex-snapshot
Space–time isogeometric analysis of parabolic evolution problems
inferredcites →https://doi.org/10.1016/j.cma.2017.08.020openalex-snapshot
Variational space–time elements for large-scale systems
inferredcites →https://doi.org/10.1016/j.cma.2019.05.042openalex-snapshot
Maximum-principle preserving space–time isogeometric analysis
inferredcites →https://doi.org/10.1016/j.compstruc.2010.07.006openalex-snapshot
Hybridized enriched space–time finite element method for analysis of thin-walled structures immersed in generalized Newtonian fluids
inferredcites →https://doi.org/10.1016/s0045-7825(02)00460-7openalex-snapshot
On the use of space–time finite elements in the solution of elasto-dynamic problems with strain discontinuities
inferredcites →https://doi.org/10.1016/s0045-7825(97)00207-7openalex-snapshot
Implementation and adaptivity of a space-time finite element method for structural dynamics
inferredcites →https://doi.org/10.1016/s0045-7949(01)00043-8openalex-snapshot
Adaptive FEA of wave propagation induced by high-speed trains
inferredcites →https://doi.org/10.1016/s0168-874x(02)00128-2openalex-snapshot
Three-dimensional transient elastodynamic analysis by a space and time-discontinuous Galerkin finite element method
inferredcites →https://doi.org/10.1090/mcom/3471openalex-snapshot
Space–time least–squares isogeometric method and efficient solver for parabolic problems
inferredcites →https://doi.org/10.1137/120875260openalex-snapshot
Analysis of a Nitsche XFEM-DG Discretization for a Class of Two-Phase Mass Transport Problems
inferredcites →https://doi.org/10.1142/s0218202519410021openalex-snapshot
Space–time Isogeometric flow analysis with built-in Reynolds-equation limit
inferredcites →https://doi.org/10.3390/mca23020029openalex-snapshot
4D Remeshing Using a Space-Time Finite Element Method for Elastodynamics Problems

What points at this work

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

inferred← citeshttps://doi.org/10.2139/ssrn.4648191openalex-extracted
A Space-Time Approach for the Simulation of Brittle Fracture with Phase-Field Models in Elastodynamicsp, Li { White-Space: Pre-Wrap; }
inferred← citeshttps://doi.org/10.1002/nme.6951openalex-snapshot
A simultaneous space‐time discretization approach to the inverse dynamics of geometrically exact strings
inferred← citeshttps://doi.org/10.1002/nme.7352openalex-snapshot
Arbitrary mesh‐moving velocity‐based space‐time finite element method for large deformation analysis of solids
inferred← citeshttps://doi.org/10.1007/978-3-031-93213-7_19openalex-snapshot
On a Space-Time Approach for Thermomechanics
inferred← citeshttps://doi.org/10.1007/s00466-024-02480-6openalex-snapshot
A space-time formulation for time-dependent behaviors at small or finite strains
inferred← citeshttps://doi.org/10.1007/s10444-026-10285-9openalex-snapshot
Space-time isogeometric method for a nonlocal parabolic problem
inferred← citeshttps://doi.org/10.1007/s10915-023-02398-wopenalex-snapshot
Space–Time Methods Based on Isogeometric Analysis for Time-fractional Schrödinger Equation
inferred← citeshttps://doi.org/10.1007/s11044-023-09945-1openalex-snapshot
Space-time rigid multibody dynamics
inferred← citeshttps://doi.org/10.1016/j.cam.2024.115943openalex-snapshot
DiagPara: Volumetric parameterization with energy-minimizing pair of diagonal surfaces from given boundaries
inferred← citeshttps://doi.org/10.1016/j.cma.2023.116408openalex-snapshot
High-order spline upwind for space–time Isogeometric Analysis
inferred← citeshttps://doi.org/10.1016/j.cma.2025.117957openalex-snapshot
Space–time Isogeometric Analysis of cardiac electrophysiology
inferred← citeshttps://doi.org/10.1016/j.compfluid.2024.106286openalex-snapshot
Space–time computations of exactly time-periodic flows past hydrofoils
inferred← citeshttps://doi.org/10.1016/j.compgeo.2023.105387openalex-snapshot
Hybrid asynchronous isogeometric Perfectly Matched Layer for transient elastodynamics
inferred← citeshttps://doi.org/10.1016/j.compstruc.2024.107616openalex-snapshot
A space-time approach for the simulation of brittle fracture with phase-field models in elastodynamics
inferred← citeshttps://doi.org/10.1016/j.compstruc.2025.108067openalex-snapshot
A new variational approach for coupling of non-conforming patches in Isogeometric Analysis
inferred← citeshttps://doi.org/10.1016/j.enganabound.2023.11.016openalex-snapshot
Weighted radial basis collocation method for large deformation analysis of rubber-like materials
inferred← citeshttps://doi.org/10.1016/j.enganabound.2026.106846openalex-snapshot
Space–time isogeometric discretization of linear fourth order time-dependent problem with second-order-in-space formulation
inferred← citeshttps://doi.org/10.2339/politeknik.1318238openalex-snapshot
Advancing Modal Analysis of Mechanical Linkages via Differential Algebraic Equations
inferred← citeshttps://doi.org/10.3390/ma15196516openalex-snapshot
Comparison of Structural Analysis of Thin-Walled Structures Accomplished by Isogeometric Analysis and the Finite Element Method
inferred← citeshttps://doi.org/10.70675/0347d0d5z2443z4befzb938z3ad65d8744c9openalex-snapshot
Sur une approche espace-temps pour la fissuration fragile
inferred← citeshttps://doi.org/10.70675/a8fe4e58za913z40eazb10czec2e36d951f0openalex-snapshot
Matrix-free weighted quadrature isogeometric analysis applied to thermal and mechanical simulations
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