En ε-uniformly convergent non-conforming finite element method for a singularly perturbed elliptic problem in two dimensions
Energy error estimates for a linear scheme to approximate nonlinear parabolic problems
Enrichissement des interpolations d’éléments finis en utilisant des méthodes sans maillage
Les méthodes sans maillage emploient une interpolation associée à un ensemble de particules : aucune information concernant la connectivité ne doit être fournie. Un des atouts de ces méthodes est que la discrétisation peut être enrichie d’une façon très simple, soit en augmentant le nombre de particules (analogue à la stratégie de raffinement ), soit en augmentant l’ordre de consistance (analogue à la stratégie de raffinement ). Néanmoins, le coût du calcul des fonctions d’interpolation est très...
Enrichissement des interpolations d'éléments finis en utilisant des méthodes sans maillage
Les méthodes sans maillage emploient une interpolation associée à un ensemble de particules : aucune information concernant la connectivité ne doit être fournie. Un des atouts de ces méthodes est que la discrétisation peut être enrichie d'une façon très simple, soit en augmentant le nombre de particules (analogue à la stratégie de raffinement h), soit en augmentant l'ordre de consistance (analogue à la stratégie de raffinement p). Néanmoins, le coût du calcul des fonctions d'interpolation est...
Erratum. Optimal L ...-Error Estimates for Piecewise Linear Finite Elements in ...
Error Analysis for Laplace Transform - Finite Element Solution of Hyperbolic Equations
Error analysis for spectral approximation of the Korteweg-de Vries equation
Error analysis in , for mixed finite element methods for linear and quasi-linear elliptic problems
Error Bounds for Finite Element Solutions of Mildly Nonlinear Elliptic Boundary Value Problems.
Error Bounds for the Galerkin Method Applied to Singular and Nonsingular Boundary Value Problems.
Error Control and Andaptivity for a Phase Relaxation Model
The phase relaxation model is a diffuse interface model with small parameter ε which consists of a parabolic PDE for temperature θ and an ODE with double obstacles for phase variable χ. To decouple the system a semi-explicit Euler method with variable step-size τ is used for time discretization, which requires the stability constraint τ ≤ ε. Conforming piecewise linear finite elements over highly graded simplicial meshes with parameter h are further employed for space discretization. A posteriori...
Error estimates for discretized Galerkin and collocation boundary element methods for time harmonic Dirichlet screen problems in ℝ³
Error estimates for finite element methods for semilinear parabolic problems with nonsmooth data
Error Estimates for Galerkin Methods for Quasilinear Parabolic and Elliptic Differential Equations in Divergence Form.
Error estimates for least-squares mixed finite elements
Error estimates for linear finite elements on Bakhvalov-type meshes
For convection-diffusion problems with exponential layers, optimal error estimates for linear finite elements on Shishkin-type meshes are known. We present the first optimal convergence result in an energy norm for a Bakhvalov-type mesh.
Error Estimates for MAC-Like Approximations to the Linear Navier-Stokes Equations.
Error estimates for mixed methods
Error estimates for modified local Shepard’s formulas in Sobolev spaces
Interest in meshfree methods in solving boundary-value problems has grown rapidly in recent years. A meshless method that has attracted considerable interest in the community of computational mechanics is built around the idea of modified local Shepard’s partition of unity. For these kinds of applications it is fundamental to analyze the order of the approximation in the context of Sobolev spaces. In this paper, we study two different techniques for building modified local Shepard’s formulas, and...
Error estimates for Modified Local Shepard's Formulas in Sobolev spaces
Interest in meshfree methods in solving boundary-value problems has grown rapidly in recent years. A meshless method that has attracted considerable interest in the community of computational mechanics is built around the idea of modified local Shepard's partition of unity. For these kinds of applications it is fundamental to analyze the order of the approximation in the context of Sobolev spaces. In this paper, we study two different techniques for building modified local Shepard's formulas, and...