An Approximation Technique for the Numerical Solution of a Stefan Problem.
An Approximation Theorem for Integrable Harmonic Vector Fields.
An Approximation Theorem for Second-Order Evolution Equations.
An approximation theorem for solutions of degenerate semilinear elliptic equations
The main result establishes that a weak solution of degenerate semilinear elliptic equations can be approximated by a sequence of solutions for non-degenerate semilinear elliptic equations.
An approximation theorem in higher order Orlicz-Sobolev spaces and applications
An approximation theorem of Wong-Zakai type for stochastic Navier-Stokes equations
An asymmetric Neumann problem with weights
An asymptotic expansion for the discrete harmonic potential.
An asymptotic expansion for the solution of the generalized Riemann problem. Part I : general theory
An asymptotic expansion for the solution of the generalized Riemann problem. Part 2 : application to the equations of gas dynamics
An Asymptotic Finite Element Method for Improvement of Solutions of Boundary Layer Problems.
An asymptotic formula for the Green's function of an elliptic operator
An asymptotically optimal model for isotropic heterogeneous linearly elastic plates
In this paper, we derive and analyze a Reissner-Mindlin-like model for isotropic heterogeneous linearly elastic plates. The modeling procedure is based on a Hellinger-Reissner principle, which we modify to derive consistent models. Due to the material heterogeneity, the classical polynomial profiles for the plate shear stress are replaced by more sophisticated choices, that are asymptotically correct. In the homogeneous case we recover a Reissner-Mindlin model with as shear correction factor....
An asymptotically optimal model for isotropic heterogeneous linearly elastic plates
In this paper, we derive and analyze a Reissner-Mindlin-like model for isotropic heterogeneous linearly elastic plates. The modeling procedure is based on a Hellinger-Reissner principle, which we modify to derive consistent models. Due to the material heterogeneity, the classical polynomial profiles for the plate shear stress are replaced by more sophisticated choices, that are asymptotically correct. In the homogeneous case we recover a Reissner-Mindlin model with 5/6 as shear correction...
An augmented Lagrangian approach to the numerical solution of the Dirichlet problem for the elliptic Monge-Ampère equation in two dimensions.
An averaging principle for stochastic evolution equations. II.
In the present paper integral continuity theorems for solutions of stochastic evolution equations of parabolic type on unbounded time intervals are established. For this purpose, the asymptotic stability of stochastic partial differential equations is investigated, the results obtained being of independent interest. Stochastic evolution equations are treated as equations in Hilbert spaces within the framework of the semigroup approach.
An effective method for the existence of the global attractor of a nonlinear wave equation.
An efficient applications of He's variational iteration method based on a reliable modification of Adomian algorithm for nonlinear boundary value problems.
An efficient approach for solving a class of nonlinear parabolic PDEs.
An efficient finite element method for nonlinear diffusion problems