Equilibrium Finite Elements for the Linear Elastic Problem.
Equivalence between lowest-order mixed finite element and multi-point finite volume methods on simplicial meshes
We consider the lowest-order Raviart–Thomas mixed finite element method for second-order elliptic problems on simplicial meshes in two and three space dimensions. This method produces saddle-point problems for scalar and flux unknowns. We show how to easily and locally eliminate the flux unknowns, which implies the equivalence between this method and a particular multi-point finite volume scheme, without any approximate numerical integration. The matrix of the final linear system is sparse, positive...
Erratum. A Nonconforming Combined Method for Solving Laplace's Boundary Value Problems with Singularities.
Erratum. On the Multi-Level Splitting of Finite Element Spaces.(Numer. Math. 49, 379-412 (1986)).
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 analysis of the nonlinear multigrid method of the second kind
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 and free-boundary convergence for a finite difference discretization of a parabolic variational inequality
Error Estimates for a Galerkin Method for a Class of Model Equations for Long Waves.
Error estimates for a mixed finite element approximation of the Stokes equations
Error Estimates for a Semi-Explicit Numerical Scheme for Stefan-Type Problems.
Error estimates for discretized Galerkin and collocation boundary element methods for time harmonic Dirichlet screen problems in ℝ³
Error estimates for finite element approximations of elliptic control problems
We investigate finite element approximations of one-dimensional elliptic control problems. For semidiscretizations and full discretizations with piecewise constant controls we derive error estimates in the maximum norm.
Error Estimates for Finite Element Method Solution of the Stokes Problem in the Primitive Variables.
Error estimates for finite element methods for semilinear parabolic problems with nonsmooth data