A high-order FEM with exact geometry description for the Laplacian on implicitly defined surfaces
type: Item
instance of: scholarly article
title: A high-order FEM with exact geometry description for the Laplacian on implicitly defined surfaces
zbMATH Open document ID: 1548.65295
author: Michael H. Gfrerer
author: Martin Schanz
published in: International Journal for Numerical Methods in Engineering
publication date: 2024-07-08T00:00:00Z
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 53Z05
zbMATH DE Number: 7878355
zbMATH Keywords: higher-order method
zbMATH Keywords: implicit surface
zbMATH Keywords: Laplace-Beltrami operator
zbMATH Keywords: level set function
zbMATH Keywords: surface finite element method
zbMATH Keywords: surface with boundary
MaRDI profile type: Publication
cites work: Tangential differential calculus and the finite element modeling of a large deformation elastic membrane problem
cites work: A finite element approach to incompressible two-phase flow on manifolds
cites work: The Interplay of Curvature and Vortices in Flow on Curved Surfaces
cites work: Numerical Methods for Two-phase Incompressible Flows
cites work: Computation of geometric partial differential equations and mean curvature flow
cites work: Variational problems and partial differential equations on implicit surfaces
cites work: Finite element methods for surface PDEs
cites work: Q3814727
cites work: An Adaptive Finite Element Method for the Laplace–Beltrami Operator on Implicitly Defined Surfaces
cites work: Higher-Order Finite Element Methods and Pointwise Error Estimates for Elliptic Problems on Surfaces
cites work: A higher order finite element method for partial differential equations on surfaces
cites work: Higher-order meshing of implicit geometries. II: Approximations on manifolds
cites work: Numerical simulation of dealloying by surface dissolution via the evolving surface finite element method
cites work: $L^2$-estimates for the evolving surface finite element method
cites work: High-order evolving surface finite element method for parabolic problems on evolving surfaces
cites work: Finite element analysis for a coupled bulk-surface partial differential equation
cites work: Fourth order partial differential equations on general geometries
cites work: An improvement of a recent Eulerian method for solving PDEs on general geometries
cites work: Finite element approximation of elliptic partial differential equations on implicit surfaces
cites work: Eulerian finite element method for parabolic PDEs on implicit surfaces
cites work: An h-narrow band finite-element method for elliptic equations on implicit surfaces
cites work: A Finite Element Method for Elliptic Equations on Surfaces
cites work: A stabilized cut finite element method for partial differential equations on surfaces: the Laplace-Beltrami operator
cites work: An adaptive surface finite element method based on volume meshes
cites work: An Eulerian Space-Time Finite Element Method for Diffusion Problems on Evolving Surfaces
cites work: Finite cell method. \(h\)- and \(p\)-extension for embedded domain problems in solid mechanics
cites work: The finite cell method for three-dimensional problems of solid mechanics
cites work: The finite cell method: a review in the context of higher-order structural analysis of CAD and image-based geometric models
cites work: CutFEM: Discretizing geometry and partial differential equations
cites work: IMMERSED BOUNDARY METHODS
cites work: Subdivision-stabilised immersed b-spline finite elements for moving boundary flows
cites work: Numerical integration over implicitly defined domains for higher order unfitted finite element methods
cites work: Higher-order accurate integration of implicit geometries
cites work: Conformal higher-order remeshing schemes for implicitly defined interface problems
cites work: Higher-order meshing of implicit geometries. I: Integration and interpolation in cut elements
cites work: Highly accurate surface and volume integration on implicit domains by means of moment-fitting
cites work: High-Order Quadrature Methods for Implicitly Defined Surfaces and Volumes in Hyperrectangles
cites work: Hybridizable discontinuous Galerkin and mixed finite element methods for elliptic problems on surfaces
cites work: Analysis of Highly Accurate Finite Element Based Algorithms for Computing Distances to Level Sets
cites work: High order unfitted finite element methods on level set domains using isoparametric mappings
cites work: Analysis of a High-Order Trace Finite Element Method for PDEs on Level Set Surfaces
cites work: The Laplacian on a Riemannian manifold. An introduction to analysis on manifolds
cites work: High order Nédélec elements with local complete sequence properties
cites work: A cut finite element method with boundary value correction
cites work: A Fast Iterative Algorithm for Elliptic Interface Problems
DOI: 10.1002/NME.5779
description: scientific article; zbMATH DE number 7878355