A convergent adaptive finite element method for a phase-field model of dynamic fracture
Fuente:
arXiv
Saved in:
| Main Authors: | Manohar, Ram, Mallikarjuaniah, S. M. |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Adaptive finite element convergence analysis of AT1 phase-field model for quasi-static fracture in strain-limiting solids
by: Manohar, Ram, et al.
Published: (2025)
by: Manohar, Ram, et al.
Published: (2025)
An $hp$-adaptive discontinuous Galerkin discretization of a static anti-plane shear crack model
by: Manohar, Ram, et al.
Published: (2024)
by: Manohar, Ram, et al.
Published: (2024)
Energy-consistent dynamic fracture phase field models: unilateral constraints and finite element simulations
by: Miah, Md Mamun, et al.
Published: (2025)
by: Miah, Md Mamun, et al.
Published: (2025)
$ξ$-Based adaptive phase field model for quasi-static anti-plane fracture
by: Fernando, Maria P., et al.
Published: (2025)
by: Fernando, Maria P., et al.
Published: (2025)
A convergent finite element method for two-phase Stokes flow driven by surface tension
by: Bai, Genming, et al.
Published: (2025)
by: Bai, Genming, et al.
Published: (2025)
On the convergence of higher order finite element methods for nonlinear magnetostatics
by: Egger, Herbert, et al.
Published: (2024)
by: Egger, Herbert, et al.
Published: (2024)
A modified dynamic diffusion finite element method with optimal convergence rate for convection-diffusion-reaction equations
by: Du, Shaohong, et al.
Published: (2025)
by: Du, Shaohong, et al.
Published: (2025)
Quantum-assisted hλ-adaptive finite element method
by: Drebotiy, R. H., et al.
Published: (2024)
by: Drebotiy, R. H., et al.
Published: (2024)
Entropy-stable and energy-conservative fully-discrete finite element method for non-isothermal phase-field models
by: Brunk, Aaron, et al.
Published: (2026)
by: Brunk, Aaron, et al.
Published: (2026)
Convergence analysis of the adaptive stochastic collocation finite element method
by: Bespalov, Alex, et al.
Published: (2024)
by: Bespalov, Alex, et al.
Published: (2024)
An adaptive stabilized trace finite element method for surface PDEs
by: Heister, Timo, et al.
Published: (2023)
by: Heister, Timo, et al.
Published: (2023)
Efficient finite element schemes for a phase field model of two-phase incompressible flows with different densities
by: Wang, Jiancheng, et al.
Published: (2024)
by: Wang, Jiancheng, et al.
Published: (2024)
A primal-dual adaptive finite element method for total variation minimization
by: Alkämper, Martin, et al.
Published: (2024)
by: Alkämper, Martin, et al.
Published: (2024)
Goal-oriented adaptive finite element methods with optimal computational complexity
by: Becker, Roland, et al.
Published: (2021)
by: Becker, Roland, et al.
Published: (2021)
Gradient-enhanced crystal plasticity coupled with phase-field fracture modeling
by: Auth, Kim Louisa, et al.
Published: (2024)
by: Auth, Kim Louisa, et al.
Published: (2024)
Lax convergence theorems and error estimates of a finite element method for the incompressible Euler system
by: Lukáčová-Medviďová, Mária, et al.
Published: (2026)
by: Lukáčová-Medviďová, Mária, et al.
Published: (2026)
An $hp$-adaptive finite element framework for static cracks: The impact of pointwise density variations on mode I, mode II, and mixed-mode fracture
by: Mallikarjunaiah, S. M.
Published: (2025)
by: Mallikarjunaiah, S. M.
Published: (2025)
Strong convergence rates of Galerkin finite element methods for SWEs with cubic polynomial nonlinearity
by: Qi, Ruisheng, et al.
Published: (2024)
by: Qi, Ruisheng, et al.
Published: (2024)
Multilevel correction type of adaptive finite element method for Hartree-Fock equation
by: Xu, Fei
Published: (2025)
by: Xu, Fei
Published: (2025)
Crack opening calculation in phase-field modeling of fluid-filled fracture: A robust and efficient strain-based method
by: Fei, Fan, et al.
Published: (2024)
by: Fei, Fan, et al.
Published: (2024)
A correction adaptive two-grid finite element method for nonselfadjoint or indefinite elliptic problems
by: Li, Fei, et al.
Published: (2026)
by: Li, Fei, et al.
Published: (2026)
Multiscale finite element method for Stokes-Darcy model
by: Hong, Yachen, et al.
Published: (2024)
by: Hong, Yachen, et al.
Published: (2024)
Optimal convergence rates of an adaptive finite element method for unbounded domains
by: Chaumont-Frelet, Théophile, et al.
Published: (2025)
by: Chaumont-Frelet, Théophile, et al.
Published: (2025)
A finite element method preserving the eigenvalue range of symmetric tensor fields
by: Amiri, Abdolreza, et al.
Published: (2026)
by: Amiri, Abdolreza, et al.
Published: (2026)
Convergence of the adaptive finite element discretization based parallel orbital-updating method for eigenvalue problems
by: Dai, Xiaoying, et al.
Published: (2025)
by: Dai, Xiaoying, et al.
Published: (2025)
A phase-field fracture model in thermo-poro-elastic media with micromechanical strain energy degradation
by: Liu, Yuhao, et al.
Published: (2024)
by: Liu, Yuhao, et al.
Published: (2024)
A parametric finite element method for a degenerate multi-phase Stefan problem with triple junctions
by: Eto, Tokuhiro, et al.
Published: (2025)
by: Eto, Tokuhiro, et al.
Published: (2025)
Finite element method coupled with multiscale finite element method for the non-stationary Stokes-Darcy model
by: Hong, Yachen, et al.
Published: (2024)
by: Hong, Yachen, et al.
Published: (2024)
A Hybrid-High Order method for fracture modelling
by: Crippa, Alessandra, et al.
Published: (2025)
by: Crippa, Alessandra, et al.
Published: (2025)
Enhanced gradient recovery-based a posteriori error estimator and adaptive finite element method for elliptic equations
by: Liu, Ying, et al.
Published: (2025)
by: Liu, Ying, et al.
Published: (2025)
An \textsf{AT1} phase-field framework for quasi-static anti-plane shear fracture: Unifying $ξ$-based adaptivity and nonlinear strain energy density function
by: Fernando, Maria P., et al.
Published: (2025)
by: Fernando, Maria P., et al.
Published: (2025)
Adaptive isogeometric analysis of high-order phase-field fracture based on THB-splines
by: Verhelst, H. M., et al.
Published: (2026)
by: Verhelst, H. M., et al.
Published: (2026)
Semi-implicit hybrid finite volume/finite element method for the GPR model of continuum mechanics
by: Busto, Saray, et al.
Published: (2024)
by: Busto, Saray, et al.
Published: (2024)
A structure-preserving finite element method for the multi-phase Mullins-Sekerka problem with triple junctions
by: Eto, Tokuhiro, et al.
Published: (2023)
by: Eto, Tokuhiro, et al.
Published: (2023)
A thermo-flow-mechanics-fracture model coupling a phase-field interface approach and thermo-fluid-structure interaction
by: Lee, Sanghyun, et al.
Published: (2024)
by: Lee, Sanghyun, et al.
Published: (2024)
Optimal convergence rates for the finite element approximation of the Sobolev constant
by: Ignat, Liviu I., et al.
Published: (2025)
by: Ignat, Liviu I., et al.
Published: (2025)
A multi-mesh adaptive finite element method for solving the Gross-Pitaevskii equation
by: Li, Mingzhe, et al.
Published: (2026)
by: Li, Mingzhe, et al.
Published: (2026)
Structure-preserving finite element methods for computing dynamics of rotating Bose-Einstein condensate
by: Li, Meng, et al.
Published: (2024)
by: Li, Meng, et al.
Published: (2024)
Superconvergence in finite element method by smoothing
by: Li, Yuwen, et al.
Published: (2026)
by: Li, Yuwen, et al.
Published: (2026)
Pressure-robust optimally convergent H(div) finite element method without the commuting diagram property for the steady Oseen equations
by: Zhang, Jin, et al.
Published: (2025)
by: Zhang, Jin, et al.
Published: (2025)
Similar Items
-
Adaptive finite element convergence analysis of AT1 phase-field model for quasi-static fracture in strain-limiting solids
by: Manohar, Ram, et al.
Published: (2025) -
An $hp$-adaptive discontinuous Galerkin discretization of a static anti-plane shear crack model
by: Manohar, Ram, et al.
Published: (2024) -
Energy-consistent dynamic fracture phase field models: unilateral constraints and finite element simulations
by: Miah, Md Mamun, et al.
Published: (2025) -
$ξ$-Based adaptive phase field model for quasi-static anti-plane fracture
by: Fernando, Maria P., et al.
Published: (2025) -
A convergent finite element method for two-phase Stokes flow driven by surface tension
by: Bai, Genming, et al.
Published: (2025)