An efficient solution algorithm for space-time finite element method

DOI10.1007/s00466-018-1603-8zbMath1464.74229OpenAlexW2883032997WikidataQ113327228 ScholiaQ113327228MaRDI QIDQ670367

Jinyou Xiao, Dong Qian, Rui Zhang, Li-Hua Wen

Publication date: 18 March 2019

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-018-1603-8

zbMATH Keywords

preconditionerKronecker productiterative solvertime-discontinuous Galerkin formulation

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (3)

Space-time computations in practical engineering applications: a summary of the 25-year history ⋮ HiDeNN-FEM: a seamless machine learning approach to nonlinear finite element analysis ⋮ A Newmark space-time formulation in structural dynamics

Uses Software

• UMFPACK

Cites Work

• Unnamed Item
• A new finite element formulation for computational fluid dynamics. VI. Convergence analysis of the generalized SUPG formulation for linear time- dependent multidimensional advective-diffusive systems
• Space-time finite element methods for second-order hyperbolic equations
• The partition of unity finite element method: basic theory and applications
• An improved predictor/multi-corrector algorithm for a time-discontinuous Galerkin finite element method in structural dynamics
• Space-time finite element methods for elastodynamics: Formulations and error estimates
• The design and analysis of the generalized finite element method
• Implementation and adaptivity of a space-time finite element method for structural dynamics
• A multi-temporal scale approach to high cycle fatigue simulation
• A space-time formulation for multiscale phenomena
• Enriched space-time finite element method: a new paradigm for multiscaling from elastodynamics to molecular dynamics
• Bridging scale simulation of lattice fracture using enriched space-time Finite Element Method
• Coupled Atomistic/Continuum Simulation based on Extended Space-Time Finite Element Method
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Error Estimates and Adaptive Time-Step Control for a Class of One-Step Methods for Stiff Ordinary Differential Equations
• A linear time implementation of the reverse Cuthill-McKee algorithm
• Discontinuous Galerkin Methods for Ordinary Differential Equations
• Time finite element methods for structural dynamics
• STRUCTURAL DYNAMIC ANALYSIS BY A TIME-DISCONTINUOUS GALERKIN FINITE ELEMENT METHOD
• THE PARTITION OF UNITY METHOD
• A finite element method for crack growth without remeshing
• Adaptive finite element procedures for linear and non-linear dynamics
• Algorithm 832
• Finite-element analysis of time-dependent phenomena.
• A general theory of finite elements. II. Applications
• Arbitrary discontinuities in space–time finite elements by level sets and X‐FEM

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