A FETI-DP preconditioner for mortar methods in three dimensions.
A few results about the -Laplace's operator.
A few results on a class of degenerate parabolic equations
A few symmetry results for nonlinear elliptic PDE on noncompact manifolds
A fibering map approach to a semilinear elliptic boundary value problem.
A fibering method approach to a system of quasilinear equations with nonlinear boundary conditions
We provide an existence result for a system of quasilinear equations subject to nonlinear boundary conditions on a bounded domain by using the fibering method.
A field equation defined by a Hurwitz pair
A final value problem for heat equation: regularization by truncation method and new error estimates.
A finite difference approach for the initial-boundary value problem of the fractional Klein-Kramers equation in phase space
Considering the features of the fractional Klein-Kramers equation (FKKE) in phase space, only the unilateral boundary condition in position direction is needed, which is different from the bilateral boundary conditions in [Cartling B., Kinetics of activated processes from nonstationary solutions of the Fokker-Planck equation for a bistable potential, J. Chem. Phys., 1987, 87(5), 2638–2648] and [Deng W., Li C., Finite difference methods and their physical constrains for the fractional Klein-Kramers...
A finite difference method for quasi-linear and nonlinear differential functional parabolic equations with Dirichlet's condition
We deal with a finite difference method for a wide class of nonlinear, in particular strongly nonlinear or quasi-linear, second-order partial differential functional equations of parabolic type with Dirichlet's condition. The functional dependence is of the Volterra type and the right-hand sides of the equations satisfy nonlinear estimates of the generalized Perron type with respect to the functional variable. Under the assumptions adopted, quasi-linear equations are a special case of nonlinear...
A finite difference scheme for a degenerated diffusion equation arising in microbial ecology.
A Finite Eement Scheme for Domains with Corners.
A Finite Element - Capacitane Method for Elliptic Problems on Regions Partitioned into Subregions.
A finite element convergence analysis for 3D Stokes equations in case of variational crimes
We investigate a finite element discretization of the Stokes equations with nonstandard boundary conditions, defined in a bounded three-dimensional domain with a curved, piecewise smooth boundary. For tetrahedral triangulations of this domain we prove, under general assumptions on the discrete problem and without any additional regularity assumptions on the weak solution, that the discrete solutions converge to the weak solution. Examples of appropriate finite element spaces are given.
A Finite Element Merthod Scheme for one Dimensional Elliptic Equations with High Super Convergence at the Nodes.
A Finite Element Method for a Boundary Value Problem of Mixed Type.
A finite element method for a model of population dynamics with spatial diffusion
A finite element method for approximating the time-harmonic Maxwell equations.
A finite element method for domain decomposition with non-matching grids
In this note, we propose and analyse a method for handling interfaces between non-matching grids based on an approach suggested by Nitsche (1971) for the approximation of Dirichlet boundary conditions. The exposition is limited to self-adjoint elliptic problems, using Poisson’s equation as a model. A priori and a posteriori error estimates are given. Some numerical results are included.
A finite element method for domain decomposition with non-matching grids
In this note, we propose and analyse a method for handling interfaces between non-matching grids based on an approach suggested by Nitsche (1971) for the approximation of Dirichlet boundary conditions. The exposition is limited to self-adjoint elliptic problems, using Poisson's equation as a model. A priori and a posteriori error estimates are given. Some numerical results are included.