h-Adaptive FE methods applied to single- and multiphase problems

DOI10.1002/nme.422zbMath1098.74689OpenAlexW2033445361MaRDI QIDQ4785119

Wolfgang Ehlers, M. Ammann, Stefan Diebels

Publication date: 17 December 2002

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.422

zbMATH Keywords

density function\(h\)-adaptivityerror indicatordata transferTheory of Porous Mediamultiphase problemsspace-adaptivity

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in solid mechanics (74S05) Flows in porous media; filtration; seepage (76S05)

Related Items (5)

A unified framework for the computational comparison of adaptive mesh refinement strategies for all-quadrilateral and all-hexahedral meshes: locally adaptive multigrid methods versus h-adaptive methods ⋮ Deformation and localization analysis of partially saturated soil ⋮ A symmetric weak form of Biot's equations based on redundant variables representing the fluid, using a Helmholtz decomposition of the fluid displacement vector field ⋮ Original geometrical stopping criteria associated to multilevel adaptive mesh refinement for problems with local singularities ⋮ Fully automatic multigrid adaptive mesh refinement strategy with controlled accuracy for nonlinear quasi-static problems

Cites Work

• Unnamed Item
• Unnamed Item
• Adaptive refinement for arbitrary finite-element spaces with hierarchical bases
• Incompressible porous media models by use of the theory of mixtures
• On theoretical and numerical methods in the theory of porous media based on polar and non-polar elasto-plastic solid materials
• Transfer operators for evolving meshes in small strain elasto-plasticity
• A recursive approach to local mesh refinement in two and three dimensions
• A single-surface yield function for geomaterials
• Finite element derivative recovery by moving least square interpolants
• A fast algorithm for point-location in a finite element mesh
• Time‐ and space‐adaptive methods applied to localization phenomena in empty and saturated micropolar and standard porous materials
• A simple error estimator and adaptive procedure for practical engineerng analysis
• Mesh rezoning of 2D isoparametric elements by inversion
• The superconvergent patch recovery anda posteriori error estimates. Part 1: The recovery technique
• The superconvergent patch recovery anda posteriori error estimates. Part 2: Error estimates and adaptivity
• Theoretical formulations for adaptive finite element computations

This page was built for publication: h-Adaptive FE methods applied to single- and multiphase problems