An efficient solution algorithm for space-time finite element method
type: Item
instance of: scholarly article
title: An efficient solution algorithm for space-time finite element method
zbMATH Open document ID: 1464.74229
author: Rui Zhang
author: Jinyou Xiao
author: Dong Qian
author: Lihua Wen
published in: Computational Mechanics
publication date: 2019-03-18T00:00:00Z
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 65M60
zbMATH DE Number: 7037450
zbMATH Keywords: time-discontinuous Galerkin formulation
zbMATH Keywords: iterative solver
zbMATH Keywords: Kronecker product
zbMATH Keywords: preconditioner
describes a project that uses: UMFPACK
MaRDI profile type: Publication
full work available at URL: s00466-018-1603-8
OpenAlex ID: W2883032997
Wikidata QID: Q113327228
cites work: A general theory of finite elements. II. Applications
cites work: Finite-element analysis of time-dependent phenomena.
cites work: 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
cites work: Q4109239
cites work: Space-time finite element methods for elastodynamics: Formulations and error estimates
cites work: Time finite element methods for structural dynamics
cites work: Space-time finite element methods for second-order hyperbolic equations
cites work: A space-time formulation for multiscale phenomena
cites work: Implementation and adaptivity of a space-time finite element method for structural dynamics
cites work: STRUCTURAL DYNAMIC ANALYSIS BY A TIME-DISCONTINUOUS GALERKIN FINITE ELEMENT METHOD
cites work: Discontinuous Galerkin Methods for Ordinary Differential Equations
cites work: Error Estimates and Adaptive Time-Step Control for a Class of One-Step Methods for Stiff Ordinary Differential Equations
cites work: Adaptive finite element procedures for linear and non-linear dynamics
cites work: An improved predictor/multi-corrector algorithm for a time-discontinuous Galerkin finite element method in structural dynamics
cites work: The design and analysis of the generalized finite element method
cites work: A finite element method for crack growth without remeshing
cites work: The partition of unity finite element method: basic theory and applications
cites work: THE PARTITION OF UNITY METHOD
cites work: Arbitrary discontinuities in space–time finite elements by level sets and X‐FEM
cites work: Bridging scale simulation of lattice fracture using enriched space-time Finite Element Method
cites work: Coupled Atomistic/Continuum Simulation based on Extended Space-Time Finite Element Method
cites work: Enriched space-time finite element method: a new paradigm for multiscaling from elastodynamics to molecular dynamics
cites work: A multi-temporal scale approach to high cycle fatigue simulation
cites work: GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
cites work: Algorithm 832
cites work: A linear time implementation of the reverse Cuthill-McKee algorithm
DOI: 10.1007/S00466-018-1603-8
description: scientific article; zbMATH DE number 7037450