Multilevel preconditioners for Lagrange multipliers in domain imbedding.
Multilevel preconditioning.
Multilevel projection methods for nonlinear least-squares finite element computations.
Multilevel Schwarz method for the minimization with constraints of non-quadratic functionals.
Multilevel Schwarz methods.
Multimodels for incompressible flows : iterative solutions for the Navier-Stokes / Oseen coupling
In a recent paper [4] we have proposed and analysed a suitable mathematical model which describes the coupling of the Navier-Stokes with the Oseen equations. In this paper we propose a numerical solution of the coupled problem by subdomain splitting. After a preliminary analysis, we prove a convergence result for an iterative algorithm that alternates the solution of the Navier-Stokes problem to the one of the Oseen problem.
Multimodels for incompressible flows: iterative solutions for the Navier-Stokes/Oseen coupling
In a recent paper [4] we have proposed and analysed a suitable mathematical model which describes the coupling of the Navier-Stokes with the Oseen equations. In this paper we propose a numerical solution of the coupled problem by subdomain splitting. After a preliminary analysis, we prove a convergence result for an iterative algorithm that alternates the solution of the Navier-Stokes problem to the one of the Oseen problem.
Multi-parameter asymptotic error resolution of the mixed finite element method for the Stokes problem
Multi-parameter asymptotic error resolution of the mixed finite element method for the Stokes problem
In this paper, a multi-parameter error resolution technique is applied into a mixed finite element method for the Stokes problem. By using this technique and establishing a multi-parameter asymptotic error expansion for the mixed finite element method, an approximation of higher accuracy is obtained by multi-processor computers in parallel.
Multiparameter extrapolation and deflation methods for solving equation systems.
Multiphoton response of retinal rod photoreceptors.
Multiple Discrete Solutions of the Incompressible Steady-Stae Navier-Stokes Equations.
Multiple objective optimization of hydro-thermal systems using Ritz's method.
Multiple Picard's method for the Stiff nonlinear two-point boundary value problems
Multiple reciprocity method for plate bending vibration, sound pressure vibration and coupled structural-acoustic problems
Multiple root finder algorithm for Legendre and Chebyshev polynomials via Newton's method.
Multiple solutions of some asymptotically linear elliptic boundary value problems
Multiple Zeros and Applications to Optimal Linear Functionals.
Multiple-Precision Correctly rounded Newton-Cotes quadrature
Numerical integration is an important operation for scientific computations. Although the different quadrature methods have been well studied from a mathematical point of view, the analysis of the actual error when performing the quadrature on a computer is often neglected. This step is however required for certified arithmetics. We study the Newton-Cotes quadrature scheme in the context of multiple-precision arithmetic and give enough details on the algorithms and the error bounds to enable software...
Multiplicative Schwarz Methods for Discontinuous Galerkin Approximations of Elliptic Problems
In this paper we introduce and analyze some non-overlapping multiplicative Schwarz methods for discontinuous Galerkin (DG) approximations of elliptic problems. The construction of the Schwarz preconditioners is presented in a unified framework for a wide class of DG methods. For symmetric DG approximations we provide optimal convergence bounds for the corresponding error propagation operator, and we show that the resulting methods can be accelerated by using suitable Krylov space solvers. A discussion...