Adaptive mesh refinement processes for finite element solutions

DOI10.1002/nme.1620170502zbMath0485.65057OpenAlexW2168144767MaRDI QIDQ3945509

Werner C. Rheinboldt

Publication date: 1981

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.1620170502

zbMATH Keywords

error estimatesfinite elementadaptive methodsmesh refinement

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (15)

Application of a solution-adaptive method to fluid flow: Line and arclength approach ⋮ Anh-hierarchical adaptive procedure for the scaled boundary finite-element method ⋮ An adaptive grid method for Navier-Stokes flow computation ⋮ Efficient data structures for adaptive remeshing with the FEM ⋮ Adaptive methods for piecewise polynomial collocation for ordinary differential equations ⋮ Efficient simulation of parameter‐dependent vehicle dynamics ⋮ A Galerkin method with smoothing ⋮ Unnamed Item ⋮ Minimization of the truncation error by grid adaptation ⋮ Adaptive mesh grading for finite element solutions of an integral equation in quantum scattering ⋮ Computational error estimates and adaptive processes for some nonlinear structural problems ⋮ An adaptive grid finite difference method for conservation laws ⋮ Three‐dimensional finite element analysis for hollow section extrusion of a triply‐connected section using mismatching refinement with domain decomposition ⋮ A survey of dynamically-adaptive grids in the numerical solution of partial differential equations ⋮ An adaptive finite-element strategy for the three-dimensional time- dependent Navier-Stokes equations

Cites Work

• Direct and inverse error estimates for finite elements with mesh refinements

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