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09/15/2023
A posteriori error control for fourth-order semilinear problems with quadratic nonlinearity
A general a posteriori error analysis applies to five lowest-order finit...
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05/10/2023
Unified a priori analysis of four second-order FEM for fourth-order quadratic semilinear problems
A unified framework for fourth-order semilinear problems with trilinear ...
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03/20/2023
Feedback stabilization of parabolic coupled system and its numerical study
In the first part of this article, we study feedback stabilization of a ...
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02/17/2023
Conforming VEM for general second-order elliptic problems with rough data on polygonal meshes and its application to a Poisson inverse source problem
This paper focuses on the analysis of conforming virtual element methods...
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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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07/10/2021
A posteriori error analysis for a distributed optimal control problem governed by the von Kármán equations
This article discusses numerical analysis of the distributed optimal con...
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06/23/2021
Parameter dependent finite element analysis for ferronematics solutions
This paper focuses on the analysis of a free energy functional, that mod...
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02/16/2021
Lower-order equivalent nonstandard finite element methods for biharmonic plates
The popular (piecewise) quadratic schemes for the biharmonic equation ba...
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02/16/2021
A priori and a posteriori error analysis of the Crouzeix-Raviart and Morley FEM with original and modified righthand sides
This article on nonconforming schemes for m harmonic problems simultaneo...
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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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05/28/2020
A priori and a posteriori error analysis for the Nitsche's method of a reduced Landau-de Gennes problem
The equilibrium configurations of a two dimensional planar bistable nema...
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04/21/2020
Hessian discretisation method for fourth order semi-linear elliptic equations: applications to the von Kármán and Navier–Stokes models
This paper deals with the Hessian discretisation method (HDM) for fourth...
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10/17/2019
Convergence analysis of a numerical scheme for a tumour growth model
We consider a one-spatial dimensional tumour growth model that consists ...
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08/21/2019
Adaptive Morley FEM for the von Kármán equations with optimal convergence rates
The adaptive nonconforming Morley finite element method (FEM) approximat...
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07/16/2019