A Posteriori Error Estimates for the Two-Step Backward Differentiation Formula Method for Parabolic Equations

Georgios Akrivis, Panagiotis Chatzipantelidis

Type: Article

Publication Date: 2010-01-01

Citations: 22

DOI: https://doi.org/10.1137/090756995

View Publication

Locations

SIAM Journal on Numerical Analysis - View

Similar Works

Action	Title	Year	Authors
+	Fully discrete a posteriori error estimates for parabolic integro-differential equations using the two-step backward differentiation formula	2021	Gujji Murali Mohan Reddy
+	Anisotropic a Posteriori Error Analysis for the Two-Step Backward Differentiation Formula for Parabolic Integro-Differential Equation	2022	Nakidi Shravani Gujji Murali Mohan Reddy Amiya K. Pani
+	Unconditionally optimal error estimate of a linearized variable-time-step BDF2 scheme for nonlinear parabolic equations	2022	Chengchao Zhao Nan Liu Yuheng Ma Jiwei Zhang
+	Optimal a posteriori estimators for the variable step-size BDF2 method for linear parabolic equations	2022	Wansheng Wang Mengli Mao Yi Huang
+ PDF Chat	Stability and error estimates for the variable step-size BDF2 method for linear and semilinear parabolic equations	2021	Wansheng Wang Mengli Mao Zheng Wang
+ PDF Chat	A PRIORI ESTIMATION OF A TIME STEP FOR NUMERICALLY SOLVING PARABOLIC PROBLEMS	2015	Petr N. Vabishchevich
+	A unified approach to maximum-norm a posteriori error estimation for second-order time discretisations of parabolic equations	2023	Torsten Linß Martin Ossadnik Goran Radojev
+	A priori estimation of a time step for numerically solving parabolic problems	2013	Petr N. Vabishchevich
+	A priori estimation of a time step for numerically solving parabolic problems	2013	Petr N. Vabishchevich
+	Stability and error estimates for the variable step-size BDF2 method for linear and semilinear parabolic equations	2020	Wansheng Wang Mengli Mao Zheng Wang
+	A posteriori estimates for the two-step backward differentiation formula and discrete regularity for the time-dependent Stokes equations	2018	Eberhard Bänsch Andreas Brenner
+	Space-time decomposition of a posteriori error estimate for linear and nonlinear parabolic equations with semi-implicit schemes	2015	Xiaofeng Wu Kristoffer G. van der Zee Şimşek E. H. van Brummelen
+ PDF Chat	A posteriori error estimation for hp-version time-stepping methods for parabolic partial differential equations	2010	Dominik Schötzau Thomas P. Wihler
+	A-priori error estimates of Galerkin backward differentiation methods in time-inhomogeneous parabolic problems	1978	Eckart W. Gekeler
+	Efficient higher-order finite-difference schemes for parabolic models	1996	Nicholas Dodd
+ PDF Chat	Stability and convergence of second order backward differentiation schemes for parabolic Hamilton–Jacobi–Bellman equations	2021	Olivier Bokanowski Athena Picarelli Christoph Reisinger
+	A posteriori error estimates for the fractional-step -scheme for linear parabolic equations	2011	Fotini Karakatsani
+	A posteriori error estimates for nonlinear problems. 𝐿^{𝑟}(0,𝑇;𝐿^{𝜌}(Ω))-error estimates for finite element discretizations of parabolic equations	1998	R. Verfürth
+	A posteriori error estimates and grid adjustment for a nonlinear parabolic equation	1999	Karel Segeth
+	High-order half-step compact numerical approximation for fourth-order parabolic PDEs	2023	Deepti Kaur R. K. Mohanty

Works That Cite This (15)

Action	Title	Year	Authors
+	An adaptive space-time algorithm for the incompressible Navier-Stokes equations	2023	Antonin Boisneault Samuel Dubuis Marco Picasso
+	A Posteriori Error Estimates for Exponential Midpoint Integrator Finite Element Method for Parabolic Equations	2024	Xianfa Hu Wansheng Wang Yonglei Fang
+	Optimal a posteriori estimators for the variable step-size BDF2 method for linear parabolic equations	2022	Wansheng Wang Mengli Mao Yi Huang
+	A Posteriori Error Control and Adaptivity for the IMEX BDF2 Method for PIDEs with Application to Options Pricing Models	2022	Wansheng Wang Mengli Mao Yi Huang
+	A posteriori error estimates for fully discrete finite difference method for linear parabolic equations	2024	Mengli Mao Wansheng Wang
+	An adaptive time stepping method with efficient error control for second-order evolution problems	2013	Jianguo Huang Junjiang Lai Tao Tang
+	A posteriori estimates for the two-step backward differentiation formula and discrete regularity for the time-dependent Stokes equations	2018	Eberhard Bänsch Andreas Brenner
+	Fully discrete a posteriori error estimates for parabolic integro-differential equations using the two-step backward differentiation formula	2021	Gujji Murali Mohan Reddy
+	A posteriori error estimates and adaptivity for the IMEX BDF2 method for nonlinear parabolic equations	2024	Shuo Yang Liutao Tian Liutao Tian Hongjiong Tian
+	Anisotropic a Posteriori Error Analysis for the Two-Step Backward Differentiation Formula for Parabolic Integro-Differential Equation	2022	Nakidi Shravani Gujji Murali Mohan Reddy Amiya K. Pani

Works Cited by This (4)

Action	Title	Year	Authors
+	A posteriori error estimates for the Crank–Nicolson method for parabolic equations	2005	Georgios Akrivis Charalambos Makridakis Ricardo H. Nochetto
+ PDF Chat	A posteriori error analysis for higher order dissipative methods for evolution problems	2006	Charalambos Makridakis Ricardo H. Nochetto
+ PDF Chat	Linearly implicit methods for nonlinear parabolic equations	2003	Georgios Akrivis Michel Crouzeix
+ PDF Chat	Optimal order a posteriori error estimates for a class of Runge–Kutta and Galerkin methods	2009	Georgios Akrivis Charalambos Makridakis Ricardo H. Nochetto