Monolithic discretization of linear thermoelasticity problems via adaptive multimesh \(hp\)-FEM

DOI10.1016/j.cam.2009.08.092zbMath1402.74015OpenAlexW2025406162MaRDI QIDQ984983

Lenka Dubcová, David Andrs, Jakub Cerveny, Pavel Šolín

Publication date: 20 July 2010

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2009.08.092

zbMATH Keywords

linear elasticityadaptive multimesh \(hp\)-FEMmonolithic discretization

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Thermal effects in solid mechanics (74F05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (12)

Adaptive higher-order finite element methods for transient PDE problems based on embedded higher-order implicit Runge-Kutta methods ⋮ Comparison of multimesh \(hp\)-FEM to interpolation and projection methods for spatial coupling of thermal and neutron diffusion calculations ⋮ An iterative adaptive finite element method for elliptic eigenvalue problems ⋮ Solving a suite of NIST benchmark problems for adaptive FEM with the Hermes library ⋮ Three anisotropic benchmark problems for adaptive finite element methods ⋮ Adaptation in coupled problems ⋮ PDE-independent adaptive \(hp\)-FEM based on hierarchic extension of finite element spaces ⋮ Adaptive hp-FEM with dynamical meshes for transient heat and moisture transfer problems ⋮ The role of data transfer on the selection of a single vs. multiple mesh architecture for tightly coupled multiphysics applications ⋮ Solving elliptic eigenproblems with adaptive multimesh \(hp\)-FEM ⋮ \(hp\)-FEM electromechanical transduction model of ionic polymer-metal composites ⋮ Hermes2D, a C++ library for rapid development of adaptive \(hp\)-FEM and \(hp\)-DG solvers

Cites Work

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• A posteriori error estimation and adaptive mesh refinement for a multiscale operator decomposition approach to fluid-solid heat transfer
• Thermoelastic deformations
• Entropic thermoelasticity at finite strains. Aspects of the formulation and numerical implementation
• Arbitrary-level hanging nodes and automatic adaptivity in the \(hp\)-FEM
• Analysis of steel frames under fire environment

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