A stable FE method for the space-time solution of the Cahn-Hilliard equation
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Publication:2131025
DOI10.1016/j.jcp.2021.110426OpenAlexW3034111539MaRDI QIDQ2131025
Eirik Valseth, Austin R. Kaul, Albert Romkes
Publication date: 25 April 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.02283
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Parabolic equations and parabolic systems (35Kxx)
Related Items (2)
Error representation of the time-marching DPG scheme ⋮ Automatic variationally stable analysis for finite element computations: transient convection-diffusion problems
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Cites Work
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- The DPG method for the Stokes problem
- A class of discontinuous Petrov-Galerkin methods. III: Adaptivity
- Breaking spaces and forms for the DPG method and applications including Maxwell equations
- The least squares spectral element method for the Cahn-Hilliard equation
- A class of discontinuous Petrov-Galerkin methods. I: The transport equation
- An approximate factorization/least squares solution method for a mixed finite element approximation of the Cahn-Hilliard equation
- Least-squares finite element methods
- On the Cahn-Hilliard equation
- Nonlinear discontinuous Petrov-Galerkin methods
- Construction of DPG Fortin operators for second order problems
- Reactive \(n\)-species Cahn-Hilliard system: a thermodynamically-consistent model for reversible chemical reactions
- Space-time finite element methods for elastodynamics: Formulations and error estimates
- High order finite element calculations for the Cahn-Hilliard equation
- Construction of DPG Fortin operators revisited
- A robust solver for a second order mixed finite element method for the Cahn-Hilliard equation
- An adaptive stabilized conforming finite element method via residual minimization on dual discontinuous Galerkin norms
- Camellia: a rapid development framework for finite element solvers
- A discontinuous Petrov-Galerkin methodology for adaptive solutions to the incompressible Navier-Stokes equations
- Isogeometric analysis of the Cahn-Hilliard equation -- a convergence study
- Error-bounds for finite element method
- A space-time formulation for multiscale phenomena
- Isogeometric analysis of the Cahn-Hilliard phase-field model
- On fully practical finite element approximations of degenerate Cahn-Hilliard systems
- A Hybrid High-Order Method for the Cahn--Hilliard problem in Mixed Form
- Adaptivity and variational stabilization for convection-diffusion equations
- Robust DPG Methods for Transient Convection-Diffusion
- A class of discontinuous Petrov-Galerkin methods. II. Optimal test functions
- Goal-oriented error estimation for Cahn-Hilliard models of binary phase transition
- Analysis of the DPG Method for the Poisson Equation
- A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
- Firedrake
- Finite Element Methods for Navier-Stokes Equations
- Continuous Finite Elements in Space and Time for the Heat Equation
- Mixed and Hybrid Finite Element Methods
- A Convergent Adaptive Algorithm for Poisson’s Equation
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
- A Posteriori Error Control for DPG Methods
- An Overview of the Discontinuous Petrov Galerkin Method
- A discontinuous Galerkin method for the Cahn-Hilliard equation
- PETSc/TS
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