The finite cell method for polygonal meshes: poly-FCM (Q341549)

scientific article; zbMATH DE number 6653542

Language	Label	Description	Also known as
English	The finite cell method for polygonal meshes: poly-FCM	scientific article; zbMATH DE number 6653542

Statements

instance of

scholarly article

0 references

title

The finite cell method for polygonal meshes: poly-FCM (English)

0 references

0 references

0 references

Computational Mechanics

0 references

publication date

16 November 2016

0 references

zbMATH Keywords

fictitious domain method

0 references

finite cell method

0 references

polygonal finite element methods

0 references

generalized barycentric coordinates

0 references

describes a project that uses

0 references

0 references

0 references

0 references

full work available at URL

https://doi.org/10.1007/s00466-016-1307-x

0 references

cites work

Isogeometric Analysis

0 references

Virtual element methods for plate bending problems

0 references

Recent advances in the construction of polygonal finite element interpolants

0 references

Polytope finite elements

0 references

Scaled boundary polygons with application to fracture analysis of functionally graded materials

0 references

Polygonal finite elements for finite elasticity

0 references

Addressing integration error for polygonal finite elements through polynomial projections: A patch test connection

0 references

Extended finite element method on polygonal and quadtree meshes

0 references

Conforming polygonal finite elements

0 references

A rational finite element basis

0 references

A displacement-based finite element formulation for general polyhedra using harmonic shape functions

0 references

Q4945505

0 references

A spectral element method for fluid dynamics: Laminar flow in a channel expansion

0 references

Numerical integration of polynomials and discontinuous functions on irregular convex polygons and polyhedrons

0 references

\texttt{PolyMesher}: a general-purpose mesh generator for polygonal elements written in Matlab

0 references

Fast methods for computing centroidal Voronoi tessellations

0 references

APPLICATION OF POLYGONAL FINITE ELEMENTS IN LINEAR ELASTICITY

0 references

A polygonal finite element method for modeling arbitrary interfaces in large deformation problems

0 references

Polygonal finite element methods for contact-impact problems on non-conformal meshes

0 references

Reduction in mesh bias for dynamic fracture using adaptive splitting of polygonal finite elements

0 references

Honeycomb Wachspress finite elements for structural topology optimization

0 references

Polygonal finite elements for topology optimization: A unifying paradigm

0 references

\texttt{PolyTop}: a Matlab implementation of a general topology optimization framework using unstructured polygonal finite element meshes

0 references

Localmaximum-entropy approximation schemes: a seamless bridge between finite elements and meshfree methods

0 references

Polygonal finite elements for incompressible fluid flow

0 references

The immersed boundary method

0 references

Finite cell method. \(h\)- and \(p\)-extension for embedded domain problems in solid mechanics

0 references

The finite cell method for three-dimensional problems of solid mechanics

0 references

Q4000182

0 references

Natural neighbor Galerkin methods

0 references

Computing with hp-ADAPTIVE FINITE ELEMENTS

0 references

Introduction to Finite Element Analysis

0 references

A vector identity for the Dirichlet tessellation

0 references

Theoretical and numerical investigation of the finite cell method

0 references

Image-based goal-oriented adaptive isogeometric analysis with application to the micro-mechanical modeling of trabecular bone

0 references

Non-standard bone simulation: interactive numerical analysis by computational steering

0 references

Numerical investigations of foam-like materials by nested high-order finite element methods

0 references

Gradient Bounds for Wachspress Coordinates on Polytopes

0 references

Numerical homogenization of hybrid metal foams using the finite cell method

0 references

Generalized Barycentric Coordinates on Irregular Polygons

0 references

The \(hp\)-\(d\)-adaptive finite cell method for geometrically nonlinear problems of solid mechanics

0 references

Distributed Lagrange multipliers based on fictitious domain method for second order elliptic problems

0 references

Topology optimization using the finite cell method

0 references

Local enrichment of the finite cell method for problems with material interfaces

0 references

The finite cell method for linear thermoelasticity

0 references

The finite and spectral cell methods for smart structure applications: transient analysis

0 references

Numerical analysis of Lamb waves using the finite and spectral cell methods

0 references

Finite and spectral cell method for wave propagation in heterogeneous materials

0 references

Modelling of wave propagation in composite plates using the time domain spectral element method

0 references

The spectral element method for elastic wave equations—application to 2-D and 3-D seismic problems

0 references

The finite cell method: a review in the context of higher-order structural analysis of CAD and image-based geometric models

0 references

Q3773481

0 references

Q3445764

0 references

Finite element method. Vol. 1: The basis.

0 references

A fictitious domain approach with spread interface for elliptic problems with general boundary conditions

0 references

A general fictitious domain method with immersed jumps and multilevel nested structured meshes

0 references

New perspectives on polygonal and polyhedral finite element methods

0 references

Barycentric coordinates for convex polytopes

0 references

Barycentric coordinates for convex sets

0 references

Mean value coordinates

0 references

Mean value coordinates in 3D

0 references

A general construction of barycentric coordinates over convex polygons

0 references

Wachspress and Mean Value Coordinates

0 references

The natural element method in solid mechanics

0 references

Construction of polygonal interpolants: a maximum entropy approach

0 references

Quadratic maximum-entropy serendipity shape functions for arbitrary planar polygons

0 references

A general geometric construction of coordinates in a convex simplicial polytope

0 references

Topology optimization using polytopes

0 references

Weakly enforced essential boundary conditions for NURBS-embedded and trimmed NURBS geometries on the basis of the finite cell method

0 references

PERFORMANCE OF DIFFERENT INTEGRATION SCHEMES IN FACING DISCONTINUITIES IN THE FINITE CELL METHOD

0 references

The tetrahedral finite cell method: Higher-order immersogeometric analysis on adaptive non-boundary-fitted meshes

0 references

The tetrahedral finite cell method for fluids: immersogeometric analysis of turbulent flow around complex geometries

0 references

Generalized Gaussian quadrature rules on arbitrary polygons

0 references

Numerical integration of discontinuities on arbitrary domains based on moment fitting

0 references

An accurate, robust, and easy-to-implement method for integration over arbitrary polyhedra: application to embedded interface methods

0 references

Efficient integration method for fictitious domain approaches

0 references

Smart octrees: accurately integrating discontinuous functions in 3D

0 references

Least squares quantization in PCM

0 references

Quasi-regional mapping for the \(p\)-version of the finite element method

0 references

Gradient correction for polygonal and polyhedral finite elements

0 references

Numerical homogenization of heterogeneous and cellular materials utilizing the finite cell method

0 references

BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS

0 references

Comparison of different higher order finite element schemes for the simulation of Lamb waves

0 references

Quadratic serendipity finite elements on polygons using generalized barycentric coordinates

0 references

Virtual elements for linear elasticity problems

0 references

The Hitchhiker's Guide to the Virtual Element Method

0 references

The virtual element method for discrete fracture network simulations

0 references

On the virtual element method for three-dimensional linear elasticity problems on arbitrary polyhedral meshes

0 references

Identifiers

zbMATH Open document ID

1398.65296

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

0 references

0 references

0 references

10.1007/S00466-016-1307-X

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:341549