A variationally separable splitting for the generalized-$\alpha$ method for parabolic equations.

Pouria Behnoudfar, Victor M. Calo, Quanling Deng, P Minev

Type: Preprint

Publication Date: 2018-11-23

Citations: 2

Locations

arXiv (Cornell University) - View

Similar Works

Action	Title	Year	Authors
+	A variationally separable splitting for the generalized-$α$ method for parabolic equations	2018	Pouria Behnoudfar Victor M. Calo Quanling Deng P Minev
+	A variationally separable splitting for the generalized‐<i>α</i> method for parabolic equations	2019	Pouria Behnoudfar Victor M. Calo Quanling Deng P Minev
+	Split generalized-$α$ method: A linear-cost solver for a modified generalized-method for multi-dimensional second-order hyperbolic systems.	2019	Pouria Behnoudfar Quanling Deng Victor M. Calo
+	Split generalized-$α$ method: A linear-cost solver for a modified generalized-method for multi-dimensional second-order hyperbolic systems	2019	Pouria Behnoudfar Quanling Deng Victor M. Calo
+	Higher-order generalized-$α$ methods for parabolic problems	2021	Pouria Behnoudfar Quanling Deng Victor M. Calo
+ PDF Chat	A Kronecker product linear-cost solver for the high-order generalized-α method for multi-dimensional hyperbolic systems	2023	Victor M. Calo Pouria Behnoudfar Marcin Łoś Maciej Paszyński
+	Operator-splitting finite element algorithms for computations of high-dimensional parabolic problems	2013	Sashikumaar Ganesan Lutz Tobiska
+	A variational splitting of high-order linear multistep methods for heat transfer and advection–diffusion parabolic problems	2022	Pouria Behnoudfar Victor M. Calo Marcin Łoś Paweł Maczuga Maciej Paszyński
+	ADI-Spectral Collocation Methods for Two-Dimensional Parabolic Equations	2020	Dong-qin Gu
+	Splitting operator difference schemes for general second order p-dimensional parabolic equations with mixed derivatives	1967	V. B. Andreev
+	A parallel FE-splitting up method to parabolic problems	1989	Xue–Cheng Tai Pekka Neittaanmäki
+ PDF Chat	Additive domain decomposition operator splittings—convergence analyses in a dissipative framework	2016	Eskil Hansen Erik Henningsson
+	A Framework for Simultaneous Approximation Terms for Multi-Dimensional Summation-by-Parts Operators	2016	David C. Del Rey Fernández Jason E. Hicken David W. Zingg
+	An extrapolated splitting method for solving semi-discretized parabolic differential equations	2014	Matthew A. Beauregard Jürgen Geiser
+	Linearly implicit splitting methods for higher space-dimensional parabolic differential equations	1998	C. Eichler-Liebenow Nguyễn Hữu Công R. Weiner K. Strehmel
+	Operator splitting method for parabolic partial differential equations: Analyses and applications	2013	Nurcan Gücüyenen
+	Flux-splitting schemes for parabolic equations with mixed derivatives	2013	Petr N. Vabishchevich
+	ADI spectral collocation methods for parabolic problems	2010	Bernard Bialecki Javier de Frutos
+	An optimization-based domain decomposition method for parabolic equations	2005	Jee Hyun Lee
+	An efficient mass-conserved domain decomposition scheme for the nonlinear parabolic problem	2019	Yuqing Zhao Guangmei Liu Zhongguo Zhou

Works That Cite This (2)

Action	Title	Year	Authors
+	Fast isogeometric solvers for hyperbolic wave propagation problems	2019	Marcin Łoś Pouria Behnoudfar Maciej Paszyński Victor M. Calo
+	Higher-order generalized-$\alpha$ methods for hyperbolic problems	2019	Pouria Behnoudfar Quanling Deng Victor M. Calo

Works Cited by This (13)

Action	Title	Year	Authors
+	Development of an implicit method with numerical dissipation from a generalized single-step algorithm for structural dynamics	1988	Claus Hoff Peter Jan Pahl
+ PDF Chat	On the numerical solution of heat conduction problems in two and three space variables	1956	Jim Douglas H.H. Rachford
+	An alpha modification of Newmark's method	1980	W. L. Wood M. Bossak O. C. Zienkiewicz
+	The ρ‐family of algorithms for time‐step integration with improved numerical dissipation	1982	G. Bazzi Edoardo Anderheggen
+	A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method	1993	Jaeung Chung Gregory M. Hulbert
+ PDF Chat	Galerkin Finite Element Methods for Parabolic Problems.	1985	Rolf Rannacher Vidar Thomée
+	The Numerical Solution of Parabolic and Elliptic Differential Equations	1955	D.W. Peaceman H.H. Rachford
+ PDF Chat	Improved numerical dissipation for time integration algorithms in structural dynamics	1977	Hans M. Hilber Thomas J.R. Hughes Robert L. Taylor
+	A generalized-α method for integrating the filtered Navier–Stokes equations with a stabilized finite element method	2000	Kenneth E. Jansen Christian H. Whiting Gregory M. Hulbert
+	Application of fast isogeometric L2 projection solver for tumor growth simulations	2017	Marcin Łoś Maciej Paszyński Adrian Kłusek Witold Dzwinel