Cover Image

Finite element schemes with tangential motion for fourth order geometric curve evolutions in arbitrary codimension

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Deckelnick, Klaus, Nürnberg, Robert
Format:	Preprint
Published:	2024
Subjects:	Numerical Analysis
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Second order in time finite element schemes for curve shortening flow and curve diffusion
by: Deckelnick, Klaus, et al.
Published: (2025)

Discrete anisotropic curve shortening flow in higher codimension
by: Deckelnick, Klaus, et al.
Published: (2023)

On the numerical approximation of hyperbolic mean curvature flows for surfaces
by: Deckelnick, Klaus, et al.
Published: (2024)

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

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

Error estimates for a surface finite element method for anisotropic mean curvature flow
by: Deckelnick, Klaus, et al.
Published: (2025)

Efficient and simple fourth-order compact finite difference methods for convection-diffusion-reaction equations on arbitrary curved domains
by: Feng, Qiwei, et al.
Published: (2026)

A fourth-order accurate compact difference scheme for solving the three-dimensional Poisson equation with arbitrary boundaries
by: Hosseinverdi, Shirzad, et al.
Published: (2019)

General fourth order Chapman-Enskog expansion of lattice Boltzmann schemes
by: Dubois, François, et al.
Published: (2023)

An arbitrary order mixed finite element method with boundary value correction for the Darcy flow on curved domains
by: Hou, Yongli, et al.
Published: (2024)

Quasi-optimal error estimate for the approximation of the elastic flow of inextensible curves
by: Bartels, Sören, et al.
Published: (2025)

Analysis of a hybridizable discontinuous Galerkin scheme for the tangential control of the Stokes system
by: Gong, Wei, et al.
Published: (2018)

On the fourth-order accurate compact ADI scheme for solving the unsteady Nonlinear Coupled Burgers' Equations
by: Radwan, Samir F.
Published: (1999)

Convergence of a steepest descent algorithm in shape optimisation using $W^{1,\infty}$ functions
by: Deckelnick, Klaus, et al.
Published: (2023)

A stabilizer free weak Galerkin method with implicit $θ$-schemes for fourth order parabolic problems
by: Gu, Shanshan, et al.
Published: (2024)

Low-order finite element complex with application to a fourth-order elliptic singular perturbation problem
by: Cui, Xuewei, et al.
Published: (2025)

A novel class of arbitrary high-order numerical schemes for fractional differential equations
by: Ding, Peng, et al.
Published: (2025)

Two arbitrary-order constraint-preserving schemes for the Yang--Mills equations on polyhedral meshes
by: Droniou, Jérôme, et al.
Published: (2023)

Geometrical mixed finite element methods for fourth order obstacle problems in linearised elasticity
by: Piersanti, Paolo, et al.
Published: (2024)

A fourth-order exponential time differencing scheme with dimensional splitting for non-linear reaction-diffusion systems
by: Asante-Asamani, E. O., et al.
Published: (2024)

A refined convergence estimate for a fourth order finite difference numerical scheme to the Cahn-Hilliard equation
by: Guo, Jing, et al.
Published: (2024)

JS-type and Z-type weights for fourth-order central-upwind weighted essentially non-oscillatory schemes
by: Gu, Jiaxi, et al.
Published: (2025)

Nonlinear fourth order Taylor expansion of lattice Boltzmann schemes
by: Dubois, François
Published: (2019)

Finite element analysis of a spectral problem on curved meshes occurring in diffusion with high order boundary conditions
by: Caubet, Fabien, et al.
Published: (2024)

A parametric finite element method for the incompressible Navier--Stokes equations on an evolving surface
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)

Optimal error analysis of an interior penalty virtual element method for fourth-order singular perturbation problems
by: Feng, Fang, et al.
Published: (2025)

Splitting-strategies for arbitrary-order fully mixed finite element discretizations of the Biot equations
by: Bertrand, Fleurianne, et al.
Published: (2026)

Morley finite element analysis for fourth-order elliptic equations under a semi-regular mesh condition
by: Ishizaka, Hiroki
Published: (2023)

Heterogeneous multiscale methods for fourth-order singular perturbations
by: Liao, Yulei, et al.
Published: (2025)

A geometrically informed algebraic multigrid preconditioned iterative approach for solving high-order finite element systems
by: Xu, Songzhe, et al.
Published: (2025)

A novel fourth-order scheme for two-dimensional Riesz space fractional nonlinear reaction-diffusion equations and its optimal preconditioned solver
by: Qu, Wei, et al.
Published: (2024)

A fourth-order exponential time differencing scheme with real and distinct poles rational approximation for solving non-linear reaction-diffusion systems
by: Attipoe, Wisdom Kwame, et al.
Published: (2025)

Towards $C^0$ finite element methods for fourth-order elliptic equation. Part I: general boundary conditions
by: Zhang, Xihao, et al.
Published: (2026)

A new family of fourth-order energy-preserving integrators
by: Miyatake, Yuto
Published: (2023)

A structure-preserving finite element method for the multi-phase Mullins-Sekerka problem with triple junctions
by: Eto, Tokuhiro, et al.
Published: (2023)

A parametric finite element method for a degenerate multi-phase Stefan problem with triple junctions
by: Eto, Tokuhiro, et al.
Published: (2025)

An arbitrary order Reconstructed Discontinuous Approximation to Fourth-order Curl Problem
by: Li, Ruo, et al.
Published: (2024)

A posteriori error estimators for fourth order elliptic problems with concentrated loads
by: Cao, Huihui, et al.
Published: (2024)

Convergent finite elements on arbitrary meshes, the WG method
by: Zhang, Ran, et al.
Published: (2024)