An Adaptive Newton Algorithm Based on Numerical Inversion: Regularization as Postconditioner.
An additive Schwarz method for mortar Morley finite element discretizations of 4th order elliptic problem in 2D.
An algebro-geometric interpretation of the Bäcklund-transformation for the Korteweg-de Vries equation.
An alternating direction implicit method for orthogonal spline collocation linear systems.
An alternating-direction iteration method for Helmholtz problems
An alternating-direction iterative procedure is described for a class of Helmholz-like problems. An algorithm for the selection of the iteration parameters is derived; the parameters are complex with some having positive real part and some negative, reflecting the noncoercivity and nonsymmetry of the finite element or finite difference matrix. Examples are presented, with an applications to wave propagation.
An analysis of the B.P.M. approximation of the Helmholtz equation in an optical fiber
An analysis of the cell vertex method
An analysis of the Darwin model of approximation to Maxwell's equations.
An analytical approach for quasi-linear equation in second order.
An analytical index formula for elliptic pseudo-differential boundary problems in the half-space
An application of eigenfunctions of -Laplacians to domain separation
We are interested in algorithms for constructing surfaces of possibly small measure that separate a given domain into two regions of equal measure. Using the integral formula for the total gradient variation, we show that such separators can be constructed approximatively by means of sign changing eigenfunctions of the -Laplacians, , under homogeneous Neumann boundary conditions. These eigenfunctions turn out to be limits of steepest descent methods applied to suitable norm quotients.
An application of the dual variational principle to a Hamiltonian system with discontinuous nonlinearities.
An application of the method of spectral functions to the problem of scattering by two wedges.
An application to Kato's square root problem.
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 asymmetric Neumann problem with weights
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....