Appendice à l'exposé : «Weak bloch property and weight estimates for elliptic operators»
Application of decomposition to hyperbolic, parabolic, and elliptic partial differential equations.
Application of Rothe's method to perturbed linear hyperbolic equations and variational inequalities
Application of the -expansion method for the Burgers, Fisher and Burgers–Fisher equations.
Applications of a max-min principle
Applications of the bifurcation theory to evaluating critical conditions of the thermal explosion
Applications of the Poincaré inequality to extended Kantorovich method.
Applicazioni della teoria dello scattering all’operatore di Laplace-Beltrami sulle forme differenziali
Approximate solutions of boundary value problems for the second and higer order linear PDE-s of the elliptic type in two independent variables
Approximation by Finite Differences of the Propagation of Acoustic Waves in Stratified Media.
Approximation by generalized impedance boundary conditions of a transmission problem in acoustic scattering
This paper addresses some results on the development of an approximate method for computing the acoustic field scattered by a three-dimensional penetrable object immersed into an incompressible fluid. The basic idea of the method consists in using on-surface differential operators that locally reproduce the interior propagation phenomenon. This approach leads to integral equation formulations with a reduced computational cost compared to standard integral formulations coupling both the transmitted...
Approximation by generalized impedance boundary conditions of a transmission problem in acoustic scattering
This paper addresses some results on the development of an approximate method for computing the acoustic field scattered by a three-dimensional penetrable object immersed into an incompressible fluid. The basic idea of the method consists in using on-surface differential operators that locally reproduce the interior propagation phenomenon. This approach leads to integral equation formulations with a reduced computational cost compared to standard integral formulations coupling both the transmitted...
Approximation by Solutions of Elliptic Equations on Closed Subsets of Euclidean Space.
Approximation by solutions of general boundary value problems for elliptic equations of arbitrary order
Approximation d'un problème aux limites elliptique d'ordre deux par éléments finis rationnels de Wachspress avec intégration numérique
Approximation of a degenerated elliptic boundary value problem by a finite element method
Approximation of a nonlinear thermoelastic problem with a moving boundary via a fixed-domain method
The thermoelastic stresses created in a solid phase domain in the course of solidification of a molten ingot are investigated. A nonlinear behaviour of the solid phase is admitted, too. This problem, obtained from a real situation by many simplifications, contains a moving boundary between the solid and the liquid phase domains. To make the usage of standard numerical packages possible, we propose here a fixed-domain approximation by means of including the liquid phase domain into the problem (in...
Approximation of a semilinear elliptic problem in an unbounded domain
Let be an odd function of a class such that and increases on . We approximate the positive solution of on with homogeneous Dirichlet boundary conditions by the solution of on with adequate non-homogeneous Dirichlet conditions. We show that the error tends to zero exponentially fast, in the uniform norm.
Approximation of a semilinear elliptic problem in an unbounded domain
Let f be an odd function of a class C2 such that ƒ(1) = 0,ƒ'(0) < 0,ƒ'(1) > 0 and increases on [0,1]. We approximate the positive solution of Δu + ƒ(u) = 0, on with homogeneous Dirichlet boundary conditions by the solution of on ]0,L[2 with adequate non-homogeneous Dirichlet conditions. We show that the error uL - u tends to zero exponentially fast, in the uniform norm.
Approximation of an elliptic boundary value problem with unilateral constraints