Cover Image

Isoparametric finite element methods for mean curvature flow and surface diffusion

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Garcke, Harald, Nürnberg, Robert, Praetorius, Simon, Zhang, Ganghui
Format:	Preprint
Published:	2025
Subjects:	Numerical Analysis 65M60, 65M12, 35K55, 53C44
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Structure-preserving parametric finite element method for curve diffusion based on Lagrange multiplier approaches
by: Garcke, Harald, et al.
Published: (2024)

An energy-stable minimal deformation rate scheme for mean curvature flow and surface diffusion
by: Gao, Guangwei, et al.
Published: (2025)

A second-order in time, BGN-based parametric finite element method for geometric flows of curves
by: Jiang, Wei, et al.
Published: (2023)

A structure-preserving parametric finite element method with optimal energy stability condition for anisotropic surface diffusion
by: Li, Yifei, et al.
Published: (2025)

An energy-stable parametric finite element method for the Willmore flow in three dimensions
by: Bao, Weizhu, et al.
Published: (2025)

A Stabilized Parametric Finite Element Method for Surface Diffusion with an Arbitrary Surface Energy
by: Zhang, Yulin, et al.
Published: (2024)

Convergence analysis of three semi-discrete numerical schemes for nonlocal geometric flows including perimeter terms
by: Wei, Jiang, et al.
Published: (2024)

Stable fully practical finite element methods for axisymmetric Willmore flow
by: Garcke, Harald, et al.
Published: (2025)

An energy-stable parametric finite element method for Willmore flow with normal-tangential velocity splitting
by: Garcke, Harald, et al.
Published: (2025)

Stable fully discrete finite element methods with BGN tangential motion for Willmore flow of planar curves
by: Garcke, Harald, et al.
Published: (2025)

A convergent finite element method with minimal deformation rate for mean curvature flow
by: Huang, Tiantian, et al.
Published: (2026)

Dual formulations of geometric curvature flows and their discretizations
by: Gao, Guangwei, et al.
Published: (2026)

Structure-preserving Local Discontinuous Galerkin method for nonlinear cross-diffusion systems
by: Gómez, Sergio, et al.
Published: (2024)

Finite element methods for isometric embedding of Riemannian manifolds
by: Gao, Guangwei, et al.
Published: (2026)

Approximation and existence of a viscoelastic phase-field model for tumour growth in two and three dimensions
by: Garcke, Harald, et al.
Published: (2023)

SUPG-stabilized time-DG finite and virtual elements for the time-dependent advection-diffusion equation
by: Da Veiga, Lourenço Beirão, et al.
Published: (2024)

Error analysis of scalar auxiliary variable finite element methods for the Landau--Lifshitz--Bloch equation
by: Soenjaya, Agus L.
Published: (2026)

Optimal ${L^2}$ error estimates for 2D/3D incompressible Cahn--Hilliard--magnetohydrodynamic equations
by: Su, Haiyan, et al.
Published: (2025)

Adaptive time-stepping and maximum-principle preserving Lagrangian schemes for gradient flows
by: Liu, Qianqian, et al.
Published: (2025)

The Landau--Lifshitz--Bloch equation on polytopal domains: Unique existence and finite element approximation
by: Le, Kim-Ngan, et al.
Published: (2024)

The Landau--Lifshitz--Bloch equation with spin diffusion: Global strong solution and finite element approximation
by: Soenjaya, Agus L.
Published: (2026)

A Parametric Finite Element Approach for an Anisotropic Multi-Phase Mullins-Sekerka Problem with Kinetic Undercooling
by: Eto, Tokuhiro, et al.
Published: (2026)

BDF2-type integrator for Landau-Lifshitz-Gilbert equation in micromagnetics: a-priori error estimates
by: Aldé, Michele, et al.
Published: (2026)

Convergence analysis of Schwarz-like methods for degenerate elliptic-parabolic equations
by: Eisenmann, Monika, et al.
Published: (2026)

A unified framework on the original energy laws of three effective classes of Runge-Kutta methods for phase field crystal type models
by: Wang, Xuping, et al.
Published: (2024)

A Discontinuous Galerkin Scheme for the Cahn-Hilliard Equations with Discrete Maximum Principle for Arbitrary Polynomial Order
by: Gunnarsson, Jimmy Kornelije, et al.
Published: (2026)

The Efficient Variable Time-stepping DLN Algorithms for the Allen-Cahn Model
by: Chen, YiMing, et al.
Published: (2024)

A second-order dynamical low-rank mass-lumped finite element method for the Allen-Cahn equation
by: Yang, Jun, et al.
Published: (2025)

Error analysis of a finite element scheme for parametric mean curvature flow based on the DeTurck trick
by: Deckelnick, Klaus, et al.
Published: (2026)

A stabilized dual-SAV parametric finite element framework for constrained planar geometric flows with mesh regularization
by: Sakakibara, Koya
Published: (2026)

Mixed finite element methods for the Landau--Lifshitz--Baryakhtar and the regularised Landau--Lifshitz--Bloch equations in micromagnetics
by: Soenjaya, Agus L.
Published: (2024)

Stable $C^1$-conforming finite element methods for a class of nonlinear fourth-order evolution equations
by: Soenjaya, Agus L., et al.
Published: (2023)

A structure-preserving relaxation Crank-Nicolson finite element method for the Schrödinger-Poisson equation
by: Liu, Huini, et al.
Published: (2024)

Error analysis for a viscoelastic phase separation model
by: Brunk, Aaron, et al.
Published: (2024)

BDF2-type integrator for Landau-Lifshitz-Gilbert equation in micromagnetics: unconditional weak convergence to weak solutions
by: Aldé, Michele, et al.
Published: (2025)

A fully decoupled and structure-preserving relaxation Crank--Nicolson finite element method for Gross--Pitaevskii--Poisson model
by: Li, Dongqian, et al.
Published: (2026)

Structure preserving schemes for a class of Wasserstein gradient flows
by: Zhang, Shiheng, et al.
Published: (2024)

A fast stochastic interacting particle-field method for 3D parabolic parabolic Chemotaxis systems: numerical algorithms and error analysis
by: Hu, Jingyuan, et al.
Published: (2025)

Aubin--Nitsche-type estimates for space-time FOSLS for parabolic PDEs
by: Führer, Thomas, et al.
Published: (2024)

Dynamic-stabilization-based linear schemes for the Allen-Cahn equation with degenerate mobility: MBP and energy stability
by: Fu, Hongfei, et al.
Published: (2025)