Parallel, fully automatic \(hp\)-adaptive \(2d\) finite element package

DOI10.1016/j.cma.2005.02.019zbMath1093.65113OpenAlexW2088991873MaRDI QIDQ2494959

Jason Kurtz, Leszek F. Demkowicz, Maciej Paszynski

Publication date: 30 June 2006

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.2005.02.019

zbMATH Keywords

numerical resultsfinite element methodboundary value problemsheat conductionparallel algorithmsmesh refinementhigh performance computingautomatic \(hp\)-adaptivitymesh reconciliation

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Diffraction, scattering (78A45) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Parallel numerical computation (65Y05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer (80M10)

Related Items

Study of accuracy of a non-conformal finite element domain decomposition method, Fully automatic hp adaptive finite element method for the Stokes problem in two dimensions, A three-dimensional self-adaptive \(hp\) finite element method for the characterization of waveguide discontinuities, Parallelization of the multi-level \(hp\)-adaptive finite cell method, Simulation of marine controlled source electromagnetic measurements using a parallel Fourier \(hp\)-finite element method, Less is often more: applied inverse problems using \(hp\)-forward models, A parallel direct solver for the self-adaptive \(hp\) finite element method, Multi-deme, twin adaptive strategyhp-HGS, Modular hp-FEM system HERMES and its application to Maxwell's equations, Arbitrary-level hanging nodes and automatic adaptivity in the \(hp\)-FEM, Combination of adaptive grid-embedding and equation adaptation methods for compressible viscous flows, Integration of \(hp\)-adaptivity and a two-grid solver for elliptic problems, Multi-level \(hp\)-adaptivity: high-order mesh adaptivity without the difficulties of constraining hanging nodes, A hybrid algorithm for solving inverse problems in elasticity, The multi-level \(hp\)-method for three-dimensional problems: dynamically changing high-order mesh refinement with arbitrary hanging nodes, par2Dhp, A fully automatic \(hp\)-adaptivity for elliptic PDEs in three dimensions

Uses Software

• SIERRA
• MUMPS
• PLAPACK
• Zoltan
• 2Dhp90
• 3Dhp90
• GMP

Cites Work

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• A parallel multifrontal algorithm and its implementation
• Simple data management, scheduling and solution strategies for managing the irregularities in parallel adaptive \(hp\) finite element simulations
• A fully automatic \(hp\)-adaptivity
• Fully automatic \(hp\)-adaptivity for Maxwell's equations
• \(hp\) boundary element modeling of the external human auditory system -- goal-oriented adaptivity with multiple load vectors.
• Robust and efficient domain decomposition preconditioners for adaptivehp finite element approximations of linear elasticity with and without discontinuous coefficients
• Discrete Dispersion Relation for hp-Version Finite Element Approximation at High Wave Number