A Posteriori Error Analysis of Two-Step Backward Differentiation Formula Finite Element Approximation for Parabolic Interface Problems

Differentiation Formula ◽

A Posteriori Error ◽

Backward Differentiation Formula ◽

Space‐time a posteriori error analysis of finite element approximation for parabolic optimal control problems: A reconstruction approach

Optimal Control Applications and Methods ◽

10.1002/oca.2618 ◽

2020 ◽

Vol 41 (5) ◽

pp. 1543-1567

Author(s):

Ram Manohar ◽

Rajen Kumar Sinha

Keyword(s):

Optimal Control Problems ◽

Finite Element Approximation ◽

Posteriori Error ◽

Control Problems ◽

Element Approximation ◽

A Posteriori ◽

A Posteriori Error ◽

Parabolic Optimal Control

A posteriori error analysis of multipoint flux mixed finite element methods for interface problems

Advances in Computational Mathematics ◽

10.1007/s10444-015-9447-7 ◽

2016 ◽

Vol 42 (4) ◽

pp. 921-945 ◽

Cited By ~ 4

Author(s):

Shaohong Du ◽

Runchang Lin ◽

Zhimin Zhang

Keyword(s):

Finite Element ◽

Error Analysis ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Posteriori Error ◽

Interface Problems ◽

A Posteriori ◽

A Posteriori Error ◽

A posteriori error analysis for discontinuous finite volume methods of elliptic interface problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2013.05.020 ◽

2014 ◽

Vol 255 ◽

pp. 529-543 ◽

Cited By ~ 7

Author(s):

Lin Mu ◽

Rabeea Jari

Keyword(s):

Error Analysis ◽

Finite Volume ◽

Posteriori Error ◽

Finite Volume Methods ◽

Interface Problems ◽

A Posteriori ◽

A Posteriori Error ◽

Elliptic Interface Problems ◽

A posteriori error analysis of semilinear parabolic interface problems using elliptic reconstruction

Applicable Analysis ◽

10.1080/00036811.2016.1277582 ◽

2017 ◽

Vol 97 (4) ◽

pp. 552-570

Author(s):

Jhuma Sen Gupta ◽

Rajen Kumar Sinha

Keyword(s):

Error Analysis ◽

Posteriori Error ◽

Interface Problems ◽

A Posteriori ◽

A Posteriori Error ◽

Elliptic Reconstruction ◽

Semilinear Parabolic

A posteriori error analysis of the Crank–Nicolson finite element method for linear parabolic interface problems: A reconstruction approach

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2018.02.022 ◽

2018 ◽

Vol 340 ◽

pp. 173-190 ◽

Cited By ~ 1

Author(s):

Jhuma Sen Gupta ◽

Rajen Kumar Sinha ◽

Gujji Murali Mohan Reddy ◽

Jinank Jain

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Analysis ◽

Posteriori Error ◽

Interface Problems ◽

A Posteriori ◽

A Posteriori Error ◽

Element Method

A posteriori error analysis of multiscale operator decomposition methods for multiphysics models

Journal of Physics Conference Series ◽

10.1088/1742-6596/125/1/012075 ◽

2008 ◽

Vol 125 ◽

pp. 012075 ◽

Cited By ~ 11

Author(s):

D Estep ◽

V Carey ◽

V Ginting ◽

S Tavener ◽

T Wildey

Keyword(s):

Error Analysis ◽

Posteriori Error ◽

Decomposition Methods ◽

A Posteriori ◽

A Posteriori Error ◽

Operator Decomposition

Fully discrete a posteriori error estimates for parabolic integro-differential equations using the two-step backward differentiation formula

BIT Numerical Mathematics ◽

10.1007/s10543-021-00866-z ◽

2021 ◽

Author(s):

G. Murali Mohan Reddy

Keyword(s):

Differential Equations ◽

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

A Posteriori ◽

Differentiation Formula ◽

A Posteriori Error ◽

Fully Discrete ◽

Backward Differentiation Formula

Robust a posteriori error estimation for the nonconforming Fortin--Soulie finite element approximation

Mathematics of Computation ◽

10.1090/s0025-5718-08-02116-9 ◽

2008 ◽

Vol 77 (264) ◽

pp. 1917-1939 ◽

Cited By ~ 8

Author(s):

Mark Ainsworth ◽

Richard Rankin

Keyword(s):

Finite Element ◽

Error Estimation ◽

Finite Element Approximation ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

Element Approximation ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error

Discontinuous Galerkin methods on hp-anisotropic meshes II: a posteriori error analysis and adaptivity

Applied Numerical Mathematics ◽

10.1016/j.apnum.2008.12.008 ◽

2009 ◽

Vol 59 (9) ◽

pp. 2179-2194 ◽

Cited By ~ 24

Author(s):

Emmanuil H. Georgoulis ◽

Edward Hall ◽

Paul Houston

Keyword(s):

Error Analysis ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Posteriori Error ◽

Galerkin Methods ◽

A Posteriori ◽

A Posteriori Error ◽

Anisotropic Meshes ◽

A posteriori error analysis for a continuous space-time finite element method for a hyperbolic integro-differential equation

BIT Numerical Mathematics ◽

10.1007/s10543-013-0424-6 ◽

2013 ◽

Vol 53 (3) ◽

pp. 689-716 ◽

Cited By ~ 2

Author(s):

Fardin Saedpanah

Keyword(s):

Differential Equation ◽

Finite Element Method ◽

Finite Element ◽

Error Analysis ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Continuous Space ◽