Convergence of sequential and asynchronous nonlinear paracontractions.
Convergence of some adaptive FEM-BEM coupling for elliptic but possibly nonlinear interface problems
We consider the symmetric FEM-BEM coupling for the numerical solution of a (nonlinear) interface problem for the 2D Laplacian. We introduce some new a posteriori error estimators based on the (h − h/2)-error estimation strategy. In particular, these include the approximation error for the boundary data, which allows to work with discrete boundary integral operators only. Using the concept of estimator reduction, we prove that the proposed adaptive...
Convergence of some adaptive FEM-BEM coupling for elliptic but possibly nonlinear interface problems
We consider the symmetric FEM-BEM coupling for the numerical solution of a (nonlinear) interface problem for the 2D Laplacian. We introduce some new a posteriori error estimators based on the (h − h/2)-error estimation strategy. In particular, these include the approximation error for the boundary data, which allows to work with discrete boundary integral operators only. Using the concept of estimator reduction, we prove that the proposed adaptive...
Convergence of Stirling's Method in Banach Spaces.
Convergence of the accelerated overrelaxation method
The convergence of the Accelerated Overrelaxation (AOR) method is discussed. It is shown that the intervals of convergence for the parameters and are not always of the following form: .
Convergence of the Arithmetic-Geometric Mean Procedure for the Complex Variables and the Calculation of the Complete Elliptic Integrals with Complex Modulus.
Convergence of the finite element method applied to an anisotropic phase-field model
We formulate a finite element method for the computation of solutions to an anisotropic phase-field model for a binary alloy. Convergence is proved in the -norm. The convergence result holds for anisotropy below a certain threshold value. We present some numerical experiments verifying the theoretical results. For anisotropy below the threshold value we observe optimal order convergence, whereas in the case where the anisotropy is strong the numerical solution to the phase-field equation does not...
Convergence of the Lambert-McLeod Trajectory Solver and of the Celf Method.
Convergence of the matrix transformation method for the finite difference approximation of fractional order diffusion problems
Numerical solution of fractional order diffusion problems with homogeneous Dirichlet boundary conditions is investigated on a square domain. An appropriate extension is applied to have a well-posed problem on and the solution on the square is regarded as a localization. For the numerical approximation a finite difference method is applied combined with the matrix transformation method. Here the discrete fractional Laplacian is approximated with a matrix power instead of computing the complicated...
Convergence of the Multigrid Full Approximation Scheme for a Class of Elliptic Mildly Nonlinear Boundary Value Problems.
Convergence of the Multilevel Full Approximation Scheme including the V-Cycle.
Convergence of the Nonconforming Wilson Element for Arbitrary Quadrilateral Meshes.
Convergence of the shifted QR algorithm on 3 x 3 normal matrices.
Convergence of the time-discretized monotonic schemes
Many numerical simulations in (bilinear) quantum control use the monotonically convergent Krotov algorithms (introduced by Tannor et al. [Time Dependent Quantum Molecular Dynamics (1992) 347–360]), Zhu and Rabitz [J. Chem. Phys. (1998) 385–391] or their unified form described in Maday and Turinici [J. Chem. Phys. (2003) 8191–8196]. In Maday et al. [Num. Math. (2006) 323–338], a time discretization which preserves the property of monotonicity has been presented. This paper introduces a proof of...
Convergence of Two-Dimensional Nyström Discrete-Ordinates in Solving the Linear Transport Equation.
Convergence of -cycle and -cycle multigrid methods for the biharmonic problem using the Morley element.
Convergence optimale de l'algorithme de «réallocation-recentrage» dans le cas continu le plus simple
Convergence Proofs and Error Estimates for an Iterative Method for Conformal Mapping.
Convergence properties of ART and SOR algorithms.
Convergence properties of the finite difference method for solving variational inequalities