Search
Search Results
-
Energy norm error estimates and convergence analysis for a stabilized Maxwell’s equations in conductive media
The aim of this article is to investigate the well-posedness, stability of solutions to the time-dependent Maxwell’s equations for electric field in...
-
Pointwise error estimates for linear finite element approximation to elliptic Dirichlet problems in smooth domains
In this paper, we consider pointwise error estimation for the linear finite element approximation to −Δ u + u = f in Ω, u = g on Γ, where Ω is a...
-
An adaptive multiscale hybrid-mixed method for the Oseen equations
A novel residual a posteriori error estimator for the Oseen equations achieves efficiency and reliability by including multilevel contributions in...
-
Modelling, Analysis and Computation in Plasticity
The typical problem in the mechanics of deformable solids comprises a mathematical model in the form of systems of partial differential equations or...
-
A Numerical Study of the Homogeneous Elliptic Equation with Fractional Boundary Conditions
We consider the homogeneous equation Au = 0, where A is a symmetric and coercive elliptic operator in H 1 (Ω) with Ω bounded domain in ℝ d . The boundary...
-
A penalty method for the time-dependent Stokes problem with the slip boundary condition and its finite element approximation
We consider the finite element method for the time-dependent Stokes problem with the slip boundary condition in a smooth domain. To avoid a...
-
Finite element approximation of a free boundary plasma problem
In this article, we study a finite element approximation for a model free boundary plasma problem. Using a mixed approach (which resembles an optimal...
-
The Theory of Generalized Locally Toeplitz Sequences: a Review, an Extension, and a Few Representative Applications
We review and extend the theory of Generalized Locally Toeplitz (GLT) sequences, which goes back to Tilli’s work on Locally Toeplitz sequences and...
-
A weak Galerkin finite element method for the Oseen equations
In this paper, a weak Galerkin finite element method for the Oseen equations of incompressible fluid flow is proposed and investigated. This method...
-
Extending Babuška-Aziz’s theorem to higher-order Lagrange interpolation
We consider the error analysis of Lagrange interpolation on triangles and tetrahedrons. For Lagrange interpolation of order one, Babuška and Aziz...
-
Convergence analysis of a minimax method for finding multiple solutions of hemivariational inequality in Hilbert space
In 2013, a minimax method for finding saddle points of locally Lipschitz continuous functional was designed (Yao Math. Comp. 82 2087–2136
2013 ). The... -
Two-scale sparse finite element approximations
To reduce computational cost, we study some two-scale finite element approximations on sparse grids for elliptic partial differential equations of...
-
-
A primal-mixed formulation for the strong coupling of quasi-Newtonian fluids with porous media
In this work we analyze a primal-mixed finite element method for the coupling of quasi-Newtonian fluids with porous media in 2D and 3D. The flows are...
-
Heuristic strategies for the approximation of stability factors in quadratically nonlinear parametrized PDEs
In this paper we present some heuristic strategies to compute rapid and reliable approximations to stability factors in nonlinear, inf-sup stable...
-
Geometric Aspects of Ambrosetti–Prodi Operators with Lipschitz Nonlinearities
Let the function u satisfy Dirichlet boundary conditions on a bounded domain $$ \Omega...
-
Two-sided bounds of eigenvalues of second-and fourth-order elliptic operators
This article presents an idea in the finite element methods (FEMs) for obtaining two-sided bounds of exact eigenvalues. This approach is based on the...
-
A posterior error analysis for the nonconforming discretization of Stokes eigenvalue problem
In this paper, we present a posteriori error estimator for the nonconforming finite element approximation, including using Crouzeix-Raviart element...
-
A newton-penalty method for a simplified liquid crystal model
In this paper we are concerned with the computation of a liquid crystal model defined by a simplified Oseen-Frank energy functional and a (sphere)...