The global solvability to the equations of motion of viscous gas with an artificial viscosity
The gradient projection method for solving an optimal control problem
A gradient method for solving an optimal control problem described by a parabolic equation is considered. The gradient projection method is applied to solve the problem. The convergence of the projection algorithm is investigated.
The gradient superconvergence of the finite volume method for a nonlinear elliptic problem of nonmonotone type
We study the superconvergence of the finite volume method for a nonlinear elliptic problem using linear trial functions. Under the condition of -uniform meshes, we first establish a superclose weak estimate for the bilinear form of the finite volume method. Then, we prove that on the mesh point set , the gradient approximation possesses the superconvergence: , where denotes the average gradient on elements containing vertex . Furthermore, by using the interpolation post-processing technique,...
The h, p and h-p Versions of the Finite Element Method in 1 Dimension. Part III. The Adaptive h-p Version.
The h, p and h-p Versions of the Finite Element Method in 1 Dimension. Part I. The Error Analysis of the p-Version.
The h, p and h-p Versions of the Finite Element Method in 1 Dimension. Part II. The Error Analysis of the h- and h-p Versions.
The version of Eulerian-Lagrangian mixed discontinuous finite element methods for advection-diffusion problems.
The version of the boundary element method on polygonal domains with quasiuniform meshes
The version of the finite element method with quasiuniform meshes
The Haar Condition and Multiplicity of Zeros.
The heat radiation problem: three-dimensional analysis for arbitrary enclosure geometries.
The heat transform and its use in thermal identification problems for electronic circuits.
The Helmholtz decomposition and the weak Neumann problem in
The Hierarchical Basis Multigrid Method.
The hierarchical basis multigrid method for convection-diffusion equations.
The high-precision summation of series whose terms are rational numbers
The h-p Version of the Finite Element Method for Elliptic Equations of Order 2m.
The HPV vaccination strategy: could male vaccination have a significant impact?
The hp-version of the boundary element method with quasi-uniform meshes in three dimensions
We prove an a priori error estimate for the hp-version of the boundary element method with hypersingular operators on piecewise plane open or closed surfaces. The underlying meshes are supposed to be quasi-uniform. The solutions of problems on polyhedral or piecewise plane open surfaces exhibit typical singularities which limit the convergence rate of the boundary element method. On closed surfaces, and for sufficiently smooth given data, the solution is H1-regular whereas, on open surfaces, edge...
The impact of uncertain parameters on ratchetting trends in hypoplasticity
Perturbed parameters are considered in a hypoplastic model of granular materials. For fixed parameters, the model response to a periodic stress loading and unloading converges to a limit state of strain. The focus of this contribution is the assessment of the change in the limit strain caused by varying model parameters.