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05/02/2023
Discontinuous Galerkin Methods with Generalized Numerical Fluxes for the Vlasov-Viscous Burgers' System
In this paper, semi-discrete numerical scheme for the approximation of t...
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02/24/2023
Asymptotic behaviour of the semidiscrete FE approximations to weakly damped wave equations with minimal smoothness on initial data
Exponential decay estimates of a general linear weakly damped wave equat...
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02/10/2023
Optimal error analysis of a non-uniform IMEX-L1 finite element method for time fractional PDEs and PIDEs
Stability and optimal convergence analysis of a non-uniform implicit-exp...
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05/18/2022
Nonconforming virtual elements for the biharmonic equation with Morley degrees of freedom on polygonal meshes
The lowest-order nonconforming virtual element extends the Morley triang...
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03/05/2022
Stability of mixed FEMs for non-selfadjoint indefinite second-order linear elliptic PDEs
For a well-posed non-selfadjoint indefinite second-order linear elliptic...
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02/08/2022
Optimal L^2 error estimates of the penalty finite element method for the unsteady Navier-Stokes equations with nonsmooth initial data
In this paper, both semidiscrete and fully discrete finite element metho...
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08/03/2021
Negative norm estimates and superconvergence results in Galerkin method for strongly nonlinear parabolic problems
The conforming finite element Galerkin method is applied to discretise i...
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06/30/2021
Backward Euler method for the equations of motion arising in Oldroyd model of order one with nonsmooth initial data
In this paper, a backward Euler method combined with finite element disc...
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02/11/2021
Numerical analysis of a new formulation for the Oseen equations in terms of vorticity and Bernoulli pressure
A variational formulation is introduced for the Oseen equations written ...
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01/21/2021
A priori and a posteriori error analysis of the lowest-order NCVEM for second-order linear indefinite elliptic problems
The nonconforming virtual element method (NCVEM) for the approximation o...
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09/07/2020
Morley Finite Element Method for the von Kármán Obstacle Problem
This paper focusses on the von Kármán equations for the moderately large...
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05/24/2020