Mollified finite element approximants of arbitrary order and smoothness
From MaRDI portal
Publication:2020833
DOI10.1016/j.cma.2020.113513zbMath1506.74399arXiv1910.04002OpenAlexW2980261119MaRDI QIDQ2020833
Eky Febrianto, Fehmi Cirak, Michael Ortiz
Publication date: 26 April 2021
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.04002
Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items (3)
Geometrical discretisations for unfitted finite elements on explicit boundary representations ⋮ Generalized \(C^1\) Clough-Tocher splines for CAGD and FEM ⋮ An optimally convergent smooth blended B-spline construction for semi-structured quadrilateral and hexahedral meshes
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Subdivision-stabilised immersed b-spline finite elements for moving boundary flows
- Isogeometric boundary element analysis using unstructured T-splines
- A gradient-based, parameter-free approach to shape optimization
- \(n\)-widths, sup-infs, and optimality ratios for the \(k\)-version of the isogeometric finite element method
- Reproducing kernel element method. I: Theoretical formulation
- An accurate, robust, and easy-to-implement method for integration over arbitrary polyhedra: application to embedded interface methods
- A consistently coupled isogeometric-meshfree method
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Numerical integration of homogeneous functions on convex and nonconvex polygons and polyhedra
- Analysis and design of univariate subdivision schemes
- Finding the intersection of two convex polyhedra
- A discontinuous \(hp\) finite element method for diffusion problems
- Variationally consistent domain integration for isogeometric analysis
- Theory and practice of finite elements.
- A stabilized cut discontinuous Galerkin framework for elliptic boundary value and interface problems
- Preconditioning immersed isogeometric finite element methods with application to flow problems
- Manifold-based isogeometric analysis basis functions with prescribed sharp features
- The non-symmetric Nitsche method for the parameter-free imposition of weak boundary and coupling conditions in immersed finite elements
- Isogeometric analysis using manifold-based smooth basis functions
- Multi-degree smooth polar splines: a framework for geometric modeling and isogeometric analysis
- Smooth cubic spline spaces on unstructured quadrilateral meshes with particular emphasis on extraordinary points: geometric design and isogeometric analysis considerations
- Blending isogeometric analysis and local \textit{maximum entropy} meshfree approximants
- Reproducing kernel triangular B-spline-based FEM for solving PDEs
- Subdivision surfaces
- A meshfree unification: reproducing kernel peridynamics
- Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. (On a variational principle for solving Dirichlet problems less boundary conditions using subspaces)
- A coupled IGA-meshfree discretization of arbitrary order of accuracy and without global geometry parameterization
- An arbitrary order variationally consistent integration for Galerkin meshfree methods
- Higher-order XFEM for curved strong and weak discontinuities
- Smoothed particle hydrodynamics: theory and application to non-spherical stars
- Higher Order Local Accuracy by Averaging in the Finite Element Method
- High Order Local Approximations to Derivatives in the Finite Element Method
- A penalty-free Nitsche method for the weak imposition of boundary conditions in compressible and incompressible elasticity
- Centroidal Voronoi Tessellations: Applications and Algorithms
- Reproducing kernel particle methods
- Smoothness-Increasing Accuracy-Conserving Filters for Discontinuous Galerkin Solutions over Unstructured Triangular Meshes
- A Mollifier Useful for Approximations in Sobolev Spaces and Some Applications to Approximating Solutions of Differential Equations
This page was built for publication: Mollified finite element approximants of arbitrary order and smoothness