Originally introduced in [146, 158], Hybrid High-Order (HHO) methods provide a framework
for the discretisation of models based on Partial Differential Equations (PDEs) with features …

We describe the development of mathematical models of ice sheets, focusing on underlying
physics and the minimal components that successful models must contain. Our review …

Free-surface thin-film flows can principally be described by two types of models. Lubrication
models assume that shear stresses are dominant in the force balance of the flow and are …

A one-step analysis of Anderson acceleration with general algorithmic depths is presented.
The resulting residual bounds within both contractive and noncontractive settings reveal the …

In this work, we develop and analyze a Hybrid High-Order (HHO) method for steady
nonlinear Leray–Lions problems. The proposed method has several assets, including the …

Discrete duality finite volume schemes on general meshes, introduced by Hermeline and
Domelevo and Omnès for the Laplace equation, are proposed for nonlinear diffusion …

In this work we develop arbitrary-order Discontinuous Skeletal Gradient Discretisations
(DSGD) on general polytopal meshes. Discontinuous Skeletal refers to the fact that the …

In this manuscript, it is introduced a new mean curvature operator which involves a φ-Hilfer
fractional operator (φ-HFO) and variable exponents and appropriated fractional spaces to …

In this paper, we study the solvability of a Caputo fractional differential equation model
involving the p-Laplacian operator with boundary value conditions. By using the Banach …

We show that the knowledge of the Dirichlet-to-Neumann maps given on an arbitrary open
non-empty portion of the boundary of a smooth domain in R n, n≥ 2, for classes of …