Modelling macrophage infiltration into avascular tumours.
Modelling the effect of cell shedding on avascular tumour growth.
Modelling the electromagnetic behaviour of SiFe alloys using the Preisach theory and the principle of loss seperation.
Modified block-approximate factorization strategies.
Modified Specht's plate bending element and its convergence analysis.
Monotone Explicit Iterations of the Finite Element Approximations for the Nonlinear Boundary Value Problem.
Monotone finite difference domain decomposition algorithms and applications to nonlinear singularly perturbed reaction-diffusion problems.
Monotone Iterative Methods for Finite Difference System of Reaction-Diffusion Equations.
Monotone Iterative Methods for Nonlinear Equations Involving a Noninvertible Linear Part.
Monotone iterative technique for semilinear elliptic systems.
Monotone methods for solving a boundary value problem of second order discrete system.
Monotone scheme for finite difference equations concerning steady-state competing-species interactions
Monotonically Convergent Iterative Methods for Nonlinear Systems of Equations.
More pressure in the finite element discretization of the Stokes problem
More pressure in the finite element discretization of the Stokes problem
For the Stokes problem in a two- or three-dimensional bounded domain, we propose a new mixed finite element discretization which relies on a nonconforming approximation of the velocity and a more accurate approximation of the pressure. We prove that the velocity and pressure discrete spaces are compatible, in the sense that they satisfy an inf-sup condition of Babuška and Brezzi type, and we derive some error estimates.
Morley finite element analysis for fourth-order elliptic equations under a semi-regular mesh condition
We present a precise anisotropic interpolation error estimate for the Morley finite element method (FEM) and apply it to fourth-order elliptic equations. We do not impose the shape-regularity mesh condition in the analysis. Anisotropic meshes can be used for this purpose. The main contributions of this study include providing a new proof of the term consistency. This enables us to obtain an anisotropic consistency error estimate. The core idea of the proof involves using the relationship between...
Mortar finite element discretization of a model coupling Darcy and Stokes equations
As a first draft of a model for a river flowing on a homogeneous porous ground, we consider a system where the Darcy and Stokes equations are coupled via appropriate matching conditions on the interface. We propose a discretization of this problem which combines the mortar method with standard finite elements, in order to handle separately the flow inside and outside the porous medium. We prove a priori and a posteriori error estimates for the resulting discrete problem. Some numerical experiments...
Mortar spectral element discretization of the Laplace and Darcy equations with discontinuous coefficients
This paper deals with the mortar spectral element discretization of two equivalent problems, the Laplace equation and the Darcy system, in a domain which corresponds to a nonhomogeneous anisotropic medium. The numerical analysis of the discretization leads to optimal error estimates and the numerical experiments that we present enable us to verify its efficiency.
Mortar spectral method in axisymmetric domains
We consider the Laplace equation posed in a three-dimensional axisymmetric domain. We reduce the original problem by a Fourier expansion in the angular variable to a countable family of two-dimensional problems. We decompose the meridian domain, assumed polygonal, in a finite number of rectangles and we discretize by a spectral method. Then we describe the main features of the mortar method and use the algorithm Strang Fix to improve the accuracy of our discretization.
Mortar spectral method in axisymmetric domains
We consider the Laplace equation posed in a three-dimensional axisymmetric domain. We reduce the original problem by a Fourier expansion in the angular variable to a countable family of two-dimensional problems. We decompose the meridian domain, assumed polygonal, in a finite number of rectangles and we discretize by a spectral method. Then we describe the main features of the mortar method and use the algorithm Strang Fix to improve the accuracy...