The Nørsett time integration methodology for finite element transient analysis

DOI10.1016/S0045-7825(02)00264-5zbMath1010.65036OpenAlexW1971401330MaRDI QIDQ1858470

Francesco Ubertini, Massimo Mancuso

Publication date: 13 February 2003

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(02)00264-5

zbMATH Keywords

performancewave propagationnumerical examplesheat conductionmethod of linescontrollable dissipationhigher-order algorithmscollocation methodologyfinite element semidiscretizationsfinite element transient analysisNørsett approximants

Mathematics Subject Classification ID

Heat equation (35K05) Wave equation (35L05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (5)

A new family of time integration methods for heat conduction problems using numerical Green's functions ⋮ An efficient time-discontinuous Galerkin procedure for nonlinear structural dynamics ⋮ Coupling pore network and finite element methods for rapid modelling of deformation ⋮ A time integration algorithm for linear transient analysis based on the reproducing kernel method ⋮ A coupled lattice Boltzmann-finite element approach for two-dimensional fluid-structure interaction

Uses Software

• RODAS
• DESIRE
• DESI

Cites Work

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