A new exact, closed-form a priori global error estimator for second- and higher-order time-integration methods for linear elastodynamics

A. Idesman

doi:10.1002/nme.3215

A new exact, closed-form a priori global error estimator for second- and higher-order time-integration methods for linear elastodynamics

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.3215 ◽

2011 ◽

Vol 88 (10) ◽

pp. 1066-1084 ◽

Cited By ~ 6

Author(s):

A. Idesman

Keyword(s):

Closed Form ◽

A Priori ◽

Time Integration ◽

Higher Order ◽

Global Error ◽

Error Estimator ◽

Integration Methods ◽

Linear Elastodynamics ◽

Time Integration Methods

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Iterative operator-splitting methods with higher-order time integration methods and applications for parabolic partial differential equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2007.06.028 ◽

2008 ◽

Vol 217 (1) ◽

pp. 227-242 ◽

Cited By ~ 32

Author(s):

Jürgen Geiser

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Operator Splitting ◽

Time Integration ◽

Higher Order ◽

Splitting Methods ◽

Parabolic Partial Differential Equations ◽

Integration Methods ◽

Operator Splitting Methods ◽

Time Integration Methods

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Finite element modeling of linear elastodynamics problems with explicit time-integration methods and linear elements with the reduced dispersion error

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2013.12.002 ◽

2014 ◽

Vol 271 ◽

pp. 86-108 ◽

Cited By ~ 36

Author(s):

A. Idesman ◽

D. Pham

Keyword(s):

Finite Element ◽

Finite Element Modeling ◽

Time Integration ◽

Integration Methods ◽

Explicit Time Integration ◽

Dispersion Error ◽

Element Modeling ◽

Linear Elastodynamics ◽

Linear Elements ◽

Time Integration Methods

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Higher-order MDOF time integration methods

Computational Fluid and Solid Mechanics 2003 ◽

10.1016/b978-008044046-0.50520-0 ◽

2003 ◽

pp. 2117-2122

Author(s):

B.T. Rosson ◽

C.W. Keierleber

Keyword(s):

Time Integration ◽

Higher Order ◽

Integration Methods ◽

Time Integration Methods

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Higher order time integration methods for two-phase flow

Advances in Water Resources ◽

10.1016/s0309-1708(01)00054-9 ◽

2002 ◽

Vol 25 (2) ◽

pp. 159-177 ◽

Cited By ~ 45

Author(s):

Christopher E. Kees ◽

Cass T. Miller

Keyword(s):

Two Phase Flow ◽

Time Integration ◽

Higher Order ◽

Phase Flow ◽

Two Phase ◽

Integration Methods ◽

Time Integration Methods

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Solving density driven flow problems with efficient spatial discretizations and higher-order time integration methods

Advances in Water Resources ◽

10.1016/j.advwatres.2008.11.003 ◽

2009 ◽

Vol 32 (3) ◽

pp. 340-352 ◽

Cited By ~ 36

Author(s):

Anis Younes ◽

Marwan Fahs ◽

Selim Ahmed

Keyword(s):

Time Integration ◽

Higher Order ◽

Integration Methods ◽

Flow Problems ◽

Density Driven Flow ◽

Time Integration Methods

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Higher-order explicit time integration methods for numerical analyses of structural dynamics

Latin American Journal of Solids and Structures ◽

10.1590/1679-78255609 ◽

2019 ◽

Vol 16 (6) ◽

Cited By ~ 5

Author(s):

Wooram Kim

Keyword(s):

Structural Dynamics ◽

Time Integration ◽

Higher Order ◽

Numerical Analyses ◽

Integration Methods ◽

Explicit Time Integration ◽

Time Integration Methods

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FINITE ELEMENT MODELING OF LINEAR ELASTODYNAMICS PROBLEMS WITH EXPLICIT TIME-INTEGRATION METHODS AND LINEAR ELEMENTS WITH REDUCED DISPERSION. COMPARATIVE STUDY OF DIFFERENT FINITE ELEMENT TECHNIQUES USED FOR ELASTODYNAMICS.

Proceedings of the 4th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering – COMPDYN 2013 ◽

10.7712/120113.4555.c1189 ◽

2014 ◽

Author(s):

A. Idesman

Keyword(s):

Finite Element ◽

Comparative Study ◽

Finite Element Modeling ◽

Time Integration ◽

Integration Methods ◽

Explicit Time Integration ◽

Element Modeling ◽

Linear Elastodynamics ◽

Linear Elements ◽

Time Integration Methods

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Investigation Of Higher Order Symplectic Time Integration Methods For Discontinous Galerkin Methods With a Centered Flux

2007 Workshop on Computational Electromagnetics in Time-Domain ◽

10.1109/cemtd.2007.4373538 ◽

2007 ◽

Cited By ~ 1

Author(s):

T. Lau ◽

E. Gjonaj ◽

T. Weiland

Keyword(s):

Time Integration ◽

Higher Order ◽

Galerkin Methods ◽

Integration Methods ◽

Time Integration Methods ◽

Discontinous Galerkin

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Accuracy and efficiency of time integration methods for 1D diffusive wave equation

Computational Geosciences ◽

10.1007/s10596-014-9417-z ◽

2014 ◽

Vol 18 (5) ◽

pp. 697-709 ◽

Cited By ~ 5

Author(s):

Sylvain Weill ◽

Raphael di Chiara-Roupert ◽

Philippe Ackerer

Keyword(s):

Wave Equation ◽

Time Integration ◽

Integration Methods ◽

Time Integration Methods

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Second derivative time integration methods for discontinuous Galerkin solutions of unsteady compressible flows

Journal of Computational Physics ◽

10.1016/j.jcp.2017.08.049 ◽

2017 ◽

Vol 350 ◽

pp. 493-517 ◽

Cited By ~ 2

Author(s):

A. Nigro ◽

C. De Bartolo ◽

A. Crivellini ◽

F. Bassi

Keyword(s):

Discontinuous Galerkin ◽

Compressible Flows ◽

Time Integration ◽

Second Derivative ◽

Integration Methods ◽

Time Integration Methods

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