Search
Search Results
-
A two-grid parallel partition of unity finite element scheme
A two-grid parallel partition of unity finite element scheme is proposed and analyzed in this paper for linear elliptic boundary value problems. The...
-
Some second-order 𝜃 schemes combined with finite element method for nonlinear fractional cable equation
In this article, some second-order time discrete schemes covering parameter 𝜃 combined with Galerkin finite element (FE) method are proposed and...
-
Time-step** discontinuous Galerkin approximation of optimal control problem governed by time fractional diffusion equation
In this paper, a piecewise constant time-step** discontinuous Galerkin method combined with a piecewise linear finite element method is applied to...
-
An explicitly uncoupled VMS stabilization finite element method for the time-dependent Darcy-Brinkman equations in double-diffusive convection
In this article, a full explicitly uncoupled variational multiscale (VMS) stabilization finite element method for solving the Darcy-Brinkman...
-
A new augmented immersed finite element method without using SVD interpolations
Augmented immersed interface methods have been developed recently for interface problems and problems on irregular domains including CFD applications...
-
A two-grid algorithm based on expanded mixed element discretizations for strongly nonlinear elliptic equations
An expanded mixed element method is presented to solve a strongly nonlinear elliptic problem. Existence and uniqueness of approximation solution are...
-
Decoupled two level finite element methods for the steady natural convection problem
In this work three kinds of decoupled two level finite element methods are proposed and analyzed for the natural convection problem. Firstly, some a...
-
Composite convergence bounds based on Chebyshev polynomials and finite precision conjugate gradient computations
The conjugate gradient method (CG) for solving linear systems of algebraic equations represents a highly nonlinear finite process . Since the original...
-
Quadratic Finite Element Approximation of a Contact Eigenvalue Problem
In this paper we present a finite element method (FEM) to a nonstandard second-order elliptic eigenvalue problem defined on a two-component domain...
-
A two-level local projection stabilisation on uniformly refined triangular meshes
The two-level local projection stabilisation on triangular meshes is based on the refinement of a macro cell into three child cells by connecting the...
-
A meshless method for numerical solution of the coupled Schrödinger-KdV equations
This paper presents meshless method using RBF collocation scheme for the coupled Schrödinger-KdV equations. Instead of traditional mesh oriented...
-
Convergence of an upwind control-volume mixed finite element method for convection–diffusion problems
We consider a upwind control volume mixed finite element method for convection–diffusion problem on rectangular grids. These methods use the lowest...
-
H 1-interpolation on quadrilateral and hexahedral meshes with hanging nodes
We propose a Scott-Zhang type finite element interpolation operator of first order for the approximation of H 1 -functions by means of continuous...
-
On the reference map** for quadrilateral and hexahedral finite elements on multilevel adaptive grids
We study the properties of the reference map** for quadrilateral and hexahedral finite elements. We consider multilevel adaptive grids with...
-
A parameter-uniform numerical method for a Sobolev problem with initial layer
The present study is concerned with the numerical solution, using finite difference method of a one-dimensional initial-boundary value problem for a...
-
A Refined Finite Element Convergence Theory for Highly Indefinite Helmholtz Problems
It is well known that standard h -version finite element discretisations using lowest order elements for Helmholtz' equation suffer from the following...
-
Composite Finite Elements for Elliptic Boundary Value Problems with Discontinuous Coefficients
In this paper, we will introduce composite finite elements for solving elliptic boundary value problems with discontinuous coefficients. The focus is...
-
The Fourier Finite-element Approximation of the Lamé Equations in Axisymmetric Domains with Edges
This paper is concerned with a priori error estimates and convergence analysis of the Fourier-finite-element solutions of the Neumann problem for the...
-
Numerical Verification of Solutions of Periodic Integral Equations with a Singular Kernel
This paper proposes the method of numerical verification of solutions of a periodic integral equation with a logarithmic singular kernel, which is...
-
Reliable Approximation of Weight Factors Entering Residual-based Error Bounds for FE-discretisations
In this note we refine strategies of the so called dual-weighted-residual (DWR) approach to a posteriori error control for FE-schemes. We derive...