A Generic Finite Element Framework on Parallel Tree-Based Adaptive Meshes

DOI10.1137/20M1328786MaRDI QIDQ5856675

Alberto F. Martín, Santiago Badia, Eric Neiva, Francesc Verdugo

Publication date: 29 March 2021

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.03709

zbMATH Keywords

finite elementsadaptive mesh refinementparallel algorithmspartial differential equationsforest of treesscientific software

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Parallel numerical computation (65Y05) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Complexity and performance of numerical algorithms (65Y20)

Related Items (4)

Robust and scalable \(h\)-adaptive aggregated unfitted finite elements for interface elliptic problems ⋮ Hierarchical multigrid approaches for the finite cell method on uniform and multi-level \(h p\)-refined grids ⋮ A robust and scalable unfitted adaptive finite element framework for nonlinear solid mechanics ⋮ The Aggregated Unfitted Finite Element Method on Parallel Tree-Based Adaptive Meshes

Uses Software

• deal.ii
• PETSc
• Trilinos
• p4est
• FEMPAR

Cites Work

• A high-order discontinuous Galerkin method for wave propagation through coupled elastic-acoustic media
• \texttt{FEMPAR}: an object-oriented parallel finite element framework
• The aggregated unfitted finite element method for elliptic problems
• A Tetrahedral Space-Filling Curve for Nonconforming Adaptive Meshes
• A Highly Scalable Parallel Implementation of Balancing Domain Decomposition by Constraints
• Recursive Algorithms for Distributed Forests of Octrees
• Algorithms and data structures for massively parallel generic adaptive finite element codes
• p4est: Scalable Algorithms for Parallel Adaptive Mesh Refinement on Forests of Octrees
• A posteriori error analysis and adaptive processes in the finite element method: Part I—error analysis
• Linear multipoint constraints applied via transformation as part of a direct stiffness assembly process
• Bottom-Up Construction and 2:1 Balance Refinement of Linear Octrees in Parallel
• Multilevel Balancing Domain Decomposition at Extreme Scales
• An overview of the Trilinos project
• deal.II—A general-purpose object-oriented finite element library
• On a Data Structure for Adaptive Finite Element Mesh Refinements
• Mixed Aggregated Finite Element Methods for the Unfitted Discretization of the Stokes Problem
• Nonconforming Mesh Refinement for High-Order Finite Elements
• Simulation of high temperature superconductors and experimental validation

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