Adaptive SIPG method for approximations of boundary control problems governed by parabolic PDEs

Authors: Manohar, Ram, Kumar, B. V. Rathish, Buda, Kedarnath, Sinha, Rajen Kumar

Subject Terms: Mathematics - Numerical Analysis, $65N30$, $65N50$, $49J20$, $65K10$

Access URL: http://arxiv.org/abs/2503.05742

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A new space transformed finite element method for elliptic interface problems in [formula omitted]

Authors: Bandha, Raghunath ^⁎, Sinha, Rajen Kumar

Source: In Journal of Computational and Applied Mathematics 15 March 2025 457

SS-DNN: A hybrid strang splitting deep neural network approach for solving the Allen–Cahn equation

Authors: Singh, Anjali ^⁎, Sinha, Rajen Kumar

Source: In Engineering Analysis with Boundary Elements 1 December 2024 169 Part A

Residual‐based a posteriori error estimates for nonconforming finite element approximation to parabolic interface problems

Authors: Ray, Tanushree, Sinha, Rajen Kumar

Source: Numerical methods for partial differential equations. 39(4):2935-2962

Availability: http://explore.bl.uk/primo_library/libweb/action/display.do?tabs=detailsTab&gathStatTab=true&ct=display&fn=search&doc=ETOCvdc_100184364228.0x000001&indx=1&recIds=ETOCvdc_100184364228.0x000001

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Elliptic Reconstruction and a Posteriori Error Estimates for Fully Discrete Semilinear Parabolic Optimal Control Problems

Authors: Manohar, Ram, Sinha, Rajen Kumar

Source: Journal of computational mathematics. 40(2):147-176

Availability: http://explore.bl.uk/primo_library/libweb/action/display.do?tabs=detailsTab&gathStatTab=true&ct=display&fn=search&doc=ETOCRN629706432&indx=1&recIds=ETOCRN629706432

An adaptive finite element method for parabolic interface problems with nonzero flux jumps

Authors: Ray, Tanushree, Sinha, Rajen Kumar

Source: In Computers and Mathematics with Applications 15 January 2021 82:97-112

Finite element approximations of parabolic optimal control problem with measure data in time

Authors: Shakya, Pratibha, Sinha, Rajen Kumar

Source: Applicable analysis. 100(12):2706-2734

Availability: http://explore.bl.uk/primo_library/libweb/action/display.do?tabs=detailsTab&gathStatTab=true&ct=display&fn=search&doc=ETOCvdc_100124813379.0x000001&indx=1&recIds=ETOCvdc_100124813379.0x000001

An adaptive finite element method for semilinear parabolic interface problems with nonzero flux jump

Authors: Ray, Tanushree, Sinha, Rajen Kumar

Source: In Applied Numerical Mathematics July 2020 153:381-398

A posteriori error estimation and adaptive mesh refinement for parabolic interface problems using non-conforming immersed finite element method

Authors: Ray, Tanushree, Sinha, Rajen Kumar

Source: Journal of computational and applied mathematics. 419

Availability: http://explore.bl.uk/primo_library/libweb/action/display.do?tabs=detailsTab&gathStatTab=true&ct=display&fn=search&doc=ETOCvdc_100182702774.0x000001&indx=1&recIds=ETOCvdc_100182702774.0x000001

An adaptive immersed finite element method for linear parabolic interface problems with nonzero flux jump.

Authors: Ray, Tanushree¹ (AUTHOR), Sinha, Rajen Kumar¹ (AUTHOR) rajen@iitg.ac.in

Source: Calcolo. Jun2023, Vol. 60 Issue 2, p1-27. 27p.

Subject Terms: *FINITE element method, *CONVEX domains

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Error estimates for two-scale composite finite element approximations of parabolic equations with measure data in time for convex and nonconvex polygonal domains

Authors: Pramanick, Tamal, Sinha, Rajen Kumar

Source: In Applied Numerical Mathematics September 2019 143:112-132

A Priori Error Estimates for Finite Element Discretizations of Parabolic Optimal Control Problems with Measure Data

Authors: Shakya, Pratibha, Sinha, Rajen Kumar

Source: Numerical functional analysis and optimization. 41(2):158-191

Availability: http://explore.bl.uk/primo_library/libweb/action/display.do?tabs=detailsTab&gathStatTab=true&ct=display&fn=search&doc=ETOCvdc_100093409101.0x000001&indx=1&recIds=ETOCvdc_100093409101.0x000001

A posteriori error analysis for finite element approximations of parabolic optimal control problems with measure data

Authors: Shakya, Pratibha, Sinha, Rajen Kumar

Source: In Applied Numerical Mathematics February 2019 136:23-45

Nonsmooth data optimal error estimates by energy arguments for subdiffusion equations with memory.

Authors: Mahata, Shantiram¹, shantiram@iitg.ac.in, Sinha, Rajen Kumar¹

Source: Advances in Computational Mathematics; Aug2022, Vol. 48 Issue 4, p1-21, 21p

Local a posteriori error estimates for boundary control problems governed by nonlinear parabolic equations

Authors: Manohar, Ram, Sinha, Rajen Kumar

Source: Journal of computational and applied mathematics. 409

Availability: http://explore.bl.uk/primo_library/libweb/action/display.do?tabs=detailsTab&gathStatTab=true&ct=display&fn=search&doc=ETOCvdc_100157343272.0x000001&indx=1&recIds=ETOCvdc_100157343272.0x000001

Optimal error estimates for linear parabolic problems with discontinuous coefficients.

Authors: Sinha, Rajen Kumar, Deka, Bhupen

Source: SIAM Journal on Numerical Analysis; 2005, Vol. 43 Issue 2, p733-749, 17p