Poincaré inequality for a mesh-dependent 2-norm on piecewise linear surfaces with boundary
type: Item
instance of: scholarly article
title: Poincaré inequality for a mesh-dependent 2-norm on piecewise linear surfaces with boundary
zbMATH Open document ID: 1482.65216
author: Shawn W. Walker
published in: Computational Methods in Applied Mathematics
publication date: 2022-03-14T00:00:00Z
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35J40
Mathematics Subject Classification ID: 53A70
Mathematics Subject Classification ID: 65N50
zbMATH DE Number: 7488903
zbMATH Keywords: surfaces with boundary
zbMATH Keywords: mesh-dependent norms
zbMATH Keywords: non-conforming method
zbMATH Keywords: surface finite elements
MaRDI profile type: Publication
full work available at URL: cmam-2020-0123
OpenAlex ID: W3197671966
cites work: Q5318420
cites work: On kernels, eigenvalues, and eigenfunctions of operators related to elliptic problems
cites work: Mixed and nonconforming finite element methods : implementation, postprocessing and error estimates
cites work: The Hellan--Herrmann--Johnson Method with Curved Elements
cites work: Analysis of Mixed Methods Using Mesh Dependent Norms
cites work: A finite element method for surface diffusion: the parametric case.
cites work: On stable parametric finite element methods for the Stefan problem and the Mullins-Sekerka problem with applications to dendritic growth
cites work: A stable parametric finite element discretization of two-phase Navier-Stokes flow
cites work: A stable numerical method for the dynamics of fluidic membranes
cites work: On mixed finite element methods in plate bending analysis. I: The first Herrmann scheme
cites work: Parametric FEM for geometric biomembranes
cites work: Dynamics of Biomembranes: Effect of the Bulk Fluid
cites work: The Mathematical Theory of Finite Element Methods
cites work: Q3873462
cites work: Finite element approximation of the Laplace-Beltrami operator on a surface with boundary
cites work: Q5301029
cites work: The Hellan-Herrmann-Johnson Method: Some New Error Estimates and Postprocessing
cites work: A mixed formulation of the Stefan problem with surface tension
cites work: Semi-discrete error estimates and implementation of a mixed method for the Stefan problem
cites work: Computation of geometric partial differential equations and mean curvature flow
cites work: Shapes and Geometries
cites work: Higher-Order Finite Element Methods and Pointwise Error Estimates for Elliptic Problems on Surfaces
cites work: An Adaptive Finite Element Method for the Laplace–Beltrami Operator on Implicitly Defined Surfaces
cites work: Q4091004
cites work: Q4003026
cites work: Modeling the spontaneous curvature effects in static cell membrane deformations by a phase field formulation
cites work: A phase field approach in the numerical study of the elastic bending energy for vesicle membranes
cites work: Q3814727
cites work: Computational parametric Willmore flow
cites work: Finite element methods for surface PDEs
cites work: Evolving surface finite element method for the Cahn-Hilliard equation
cites work: Modeling and computation of two phase geometric biomembranes using surface finite elements
cites work: Generalized Navier boundary condition and geometric conservation law for surface tension
cites work: Sign and geometric meaning of curvature
cites work: Sobolev spaces on Riemannian manifolds
cites work: A continuous/discontinuous Galerkin method and a priori error estimates for the biharmonic problem on surfaces
cites work: Optimal Isoparametric Finite Elements and Error Estimates for Domains Involving Curved Boundaries
cites work: Riemannian Geometry
cites work: Semi-implicit level set methods for curvature and surface diffusion motion
cites work: The Shapes of Things
cites work: The Kirchhoff plate equation on surfaces: the surface Hellan–Herrmann–Johnson method
cites work: Electrowetting with contact line pinning: Computational modeling and comparisons with experiments
DOI: 10.1515/CMAM-2020-0123
description: scientific article; zbMATH DE number 7488903