In this article, we study a new second‐order energy stable Backward Differentiation Formula
(BDF) finite difference scheme for the epitaxial thin film equation with slope selection (SS) …

An approximation to the first-order momentum balance with consistent boundary conditions
is derived using variational methods. Longitudinal and lateral stresses are treated as depth …

We describe and analyze preconditioned steepest descent (PSD) solvers for fourth and sixth-
order nonlinear elliptic equations that include p-Laplacian terms on periodic domains in 2 …

We propose a quasi-Newton minimization approach for the solution of the p (x)-Laplacian
elliptic problem, x∈ Ω⊂ R m. This method outperforms those existing for the p (x)-variable …

We consider the adaptive finite element method (AFEM) for the P-Laplace problem,− div (|∇
u| p− 2∇ u)= f. A posteriori and priori error analysis of conforming and nonconforming finite …

In this paper, the steepest descent algorithm without line search is proposed for p-Laplacian.
Its search direction is the weighted preconditioned steepest descent one, and step length is …

We study the high-order local discontinuous Galerkin (LDG) method for the $ p $-Laplace
equation. We reformulate our spatial discretization as an equivalent convex minimization …

We present a constrained-vertex variant of the mortar spectral element method to solve the p-
Laplacian equation. To show reliability of the method, first we investigate convergence rate …

A new boundary extension technique based on the Lagrange interpolating polynomial is
proposed and used to solve the function approximation defined on an interval by a series of …

We describe and analyze the weighted extended b-spline (WEB-Spline) mesh-free finite
element method for solving the p-biharmonic problem. The WEB-Spline method uses …