Fully automatic \(hp\)-adaptivity in three dimensions
From MaRDI portal
Publication:2384475
DOI10.1016/j.cma.2005.08.022zbMath1193.65203OpenAlexW2033926111MaRDI QIDQ2384475
David Pardo, Leszek F. Demkowicz, Waldemar Rachowicz
Publication date: 21 September 2007
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2005.08.022
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Initial value problems for second-order hyperbolic equations (35L15)
Related Items (32)
On some \(hp\)-adaptive finite element method for natural vibrations ⋮ Contraction and optimality properties of adaptive Legendre-Galerkin methods: the one-dimensional case ⋮ Fully automatic hp adaptive finite element method for the Stokes problem in two dimensions ⋮ Anisotropic and dynamic mesh adaptation for discontinuous Galerkin methods applied to reactive transport ⋮ Local problem-based a posteriori error estimators for discontinuous Galerkin approximations of reactive transport ⋮ A three-dimensional self-adaptive \(hp\) finite element method for the characterization of waveguide discontinuities ⋮ A hybrid boundary element-wave based method for an efficient solution of bounded acoustic problems with inclusions ⋮ Unsymmetric multi-level hanging nodes and anisotropic polynomial degrees in \(H^1\)-conforming higher-order finite element methods ⋮ Parallelization of the multi-level \(hp\)-adaptive finite cell method ⋮ Acceleration of adjoint-based adaptation through sub-iterations ⋮ A posteriori boundary layer detection and resolution in \textit{hpq}-adaptive finite element methods for 3D-based hierarchical plate and shell models ⋮ Quasi-optimal \textit{hp}-finite element refinements towards singularities via deep neural network prediction ⋮ An efficient wave based method for solving Helmholtz problems in three-dimensional bounded domains ⋮ 3D-based hierarchical models and \(hpq\)-approximations for adaptive finite element method of Laplace problems as exemplified by linear dielectricity ⋮ Coupled partition of unity method and improved meshless weighted least-square method for two-dimensional interior structure-acoustic problem ⋮ Convergence of an adaptive \(hp\) finite element strategy in higher space-dimensions ⋮ A multi-level wave based numerical modelling framework for the steady-state dynamic analysis of bounded Helmholtz problems with multiple inclusions ⋮ Adaptive hpq finite element methods for the analysis of 3D-based models of complex structures. I: Hierarchical modeling and approximations ⋮ A parallel direct solver for the self-adaptive \(hp\) finite element method ⋮ Modular hp-FEM system HERMES and its application to Maxwell's equations ⋮ An optimization-based framework for anisotropic \(hp\)-adaptation of high-order discretizations ⋮ Self-adaptive \(hp\) finite element method with iterative mesh truncation technique accelerated with adaptive cross approximation ⋮ A hybrid algorithm for solving inverse problems in elasticity ⋮ Convergence, adaptive refinement, and scaling in 1D peridynamics ⋮ A \(p\)-adaptive scaled boundary finite element method based on maximization of the error decrease rate ⋮ The isogeometric Nyström method ⋮ The multi-level \(hp\)-method for three-dimensional problems: dynamically changing high-order mesh refinement with arbitrary hanging nodes ⋮ A fully automatic \(hp\)-adaptivity for elliptic PDEs in three dimensions ⋮ A self-adaptive goal-oriented \(hp\)-finite element method with electromagnetic applications. II: Electrodynamics ⋮ A two-dimensional self-adaptive \(hp\) finite element method for the characterization of waveguide discontinuities. II: Goal-oriented \(hp\)-adaptivity ⋮ A two-dimensional self-adaptivehpfinite element method for the characterization of waveguide discontinuities. I: Energy-norm based automatichp-adaptivity ⋮ A painless multi-level automatic goal-oriented \(hp\)-adaptive coarsening strategy for elliptic and non-elliptic problems
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Toward a universal h-p adaptive finite element strategy. II: A posteriori error estimation
- Toward a universal h-p adaptive finite element strategy. III: Design of h-p meshes
- Optimal error estimate of a projection based interpolation for the \(p\)-version approximation in three dimensions
- HP90: A general and flexible Fortran 90 \(hp\)-FE code
- de Rham diagram for \(hp\) finite element spaces
- A fully automatic \(hp\)-adaptivity
- \(H^1\), \(H\)(curl) and \(H\)(div)-conforming projection-based interpolation in three dimensions: Quasi-optimal \(p\)-interpolation estimates
- Fully automatic \(hp\)-adaptivity for Maxwell's equations
- Integration of \(hp\)-adaptivity and a two-grid solver for electromagnetic problems
- Integration of \(hp\)-adaptivity and a two-grid solver for elliptic problems
- Sparse matrix test problems
- Thepandh-pVersions of the Finite Element Method, Basic Principles and Properties
- p Interpolation Error Estimates for Edge Finite Elements of Variable Order in Two Dimensions
- A Hierarchical Domain Decomposition Preconditioner forh-PFinite Element Approximation on Locally Refined Meshes
- Fully discrete \(hp\)-finite elements: Fast quadrature
This page was built for publication: Fully automatic \(hp\)-adaptivity in three dimensions