A parametric finite element method for fourth order geometric evolution equations
DOI10.1016/j.jcp.2006.07.026zbMath1112.65093OpenAlexW2092509712WikidataQ117202761 ScholiaQ117202761MaRDI QIDQ870630
Harald Garcke, John W. Barrett, Robert Nürnberg
Publication date: 13 March 2007
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10044/1/641
stabilityconvergenceevolution equationSchur complementnumerical experimentssurface diffusionparametric finite elementstriple junctionsfourth order parabolic problem
Nonlinear parabolic equations (35K55) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Related Items (78)
Cites Work
- Unnamed Item
- Interface evolution in three dimensions with curvature-dependent energy and surface diffusion: Interface-controlled evolution, phase transitions, epitaxial growth of elastic films
- A finite element method for surface diffusion: the parametric case.
- An algorithm for evolutionary surfaces
- On the motion of a phase interface by surface diffusion
- Capturing the behavior of bubbles and drops using the variational level set approach
- Motion by intrinsic Laplacian of curvature
- A numerical study of electro-migration voiding by evolving level set functions on a fixed Cartesian grid
- Motion of multiple junctions: A level set approach
- Proof of the double bubble conjecture
- A projection method for motion of triple junctions by level sets.
- The role of the configurational force balance in the nonequilibrium epitaxy of films
- Electromigration of intergranular voids in metal films for microelectronic interconnects.
- A level set formulation for Willmore flow
- A numerical method for tracking curve networks moving with curvature motion
- Evolution of Plane Curves Driven by a Nonlinear Function of Curvature and Anisotropy
- Evolution of Elastic Curves in $\Rn$: Existence and Computation
- Computation of geometric partial differential equations and mean curvature flow
- On the Variational Approximation of Combined Second and Fourth Order Geometric Evolution Equations
- A Regularized Equation for Anisotropic Motion-by-Curvature
- Pseudoinversus and conjugate gradients
- The Surface Diffusion Flow for Immersed Hypersurfaces
- Exponential stability for a mirror–symmetric three phase boundary motion by surface diffusion
- Error Analysis of a Semidiscrete Numerical Scheme for Diffusion in Axially Symmetric Surfaces
- Finite Element Approximation of a Phase Field Model for Void Electromigration
- Surface Diffusion of Graphs: Variational Formulation, Error Analysis, and Simulation
- Fully Discrete Finite Element Approximation for Anisotropic Surface Diffusion of Graphs
- A singular limit for a system of degenerate Cahn-Hilliard equations
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