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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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09/12/2022
Parameter-free implementation of the quadratic C^0 interior penalty method for the biharmonic equation
The symmetric C^0 interior penalty method is one of the most popular dis...
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07/03/2022
Stabilization-free HHO a posteriori error control
The known a posteriori error analysis of hybrid high-order methods (HHO)...
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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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03/02/2022
Adaptive guaranteed lower eigenvalue bounds with optimal convergence rates
Guaranteed lower Dirichlet eigenvalue bounds (GLB) can be computed for t...
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11/01/2021
Convergent adaptive hybrid higher-order schemes for convex minimization
This paper proposes two convergent adaptive mesh-refining algorithms for...
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05/04/2021
Direct guaranteed lower eigenvalue bounds with optimal a priori convergence rates for the bi-Laplacian
An extra-stabilised Morley finite element method (FEM) directly computes...
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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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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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08/21/2019