Computation of radial solutions of semilinear equations.
Condition number analysis for various forms of block matrix preconditioners.
Constructive Sobolev gradient preconditioning for semilinear elliptic systems.
Convergence and Comparison Analysis of Some Numerical Schwarz Methods.
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.
Defect Correction for Nonlinear Elliptic Difference Equations.
Differenzenverfahren zur Berechnung periodischer Lösungen von hyperbolischen Differentialgleichungen.
Domain Embedding Methods for the Stokes Equations.
Dos algoritmos para la resolución numérica de una ecuación parabólica casi-lineal.
Efficient Algorithms for Solving Tensor Product Finite Element Equations.
Efficient inexact Newton-like methods with application to problems of the deformation theory of plasticity
Newton-like methods are considered with inexact correction computed by some inner iterative method. Composite iterative methods of this type are applied to the solution of nonlinear systems arising from the solution of nonlinear elliptic boundary value problems. Two main quastions are studied in this paper: the convergence of the inexact Newton-like methods and the efficient control of accuracy in computation of the inexact correction. Numerical experiments show the efficiency of the suggested composite...
Efficient preconditioning for sequences of parametric complex symmetric linear systems.
Efficient solution of symmetric eigenvalue problems using multigrid preconditioners in the locally optimal block conjugate gradient method.
Erratum. On the Multi-Level Splitting of Finite Element Spaces.(Numer. Math. 49, 379-412 (1986)).
Error analysis of the nonlinear multigrid method of the second kind
Error estimates of an efficient linearization scheme for a nonlinear elliptic problem with a nonlocal boundary condition
We consider a nonlinear second order elliptic boundary value problem (BVP) in a bounded domain with a nonlocal boundary condition. A Dirichlet BC containing an unknown additive constant, accompanied with a nonlocal (integral) Neumann side condition is prescribed at some boundary part . The rest of the boundary is equipped with Dirichlet or nonlinear Robin type BC. The solution is found via linearization. We design a robust and efficient approximation scheme. Error estimates for the linearization...
Error estimates of an efficient linearization scheme for a nonlinear elliptic problem with a nonlocal boundary condition
We consider a nonlinear second order elliptic boundary value problem (BVP) in a bounded domain with a nonlocal boundary condition. A Dirichlet BC containing an unknown additive constant, accompanied with a nonlocal (integral) Neumann side condition is prescribed at some boundary part Γn. The rest of the boundary is equipped with Dirichlet or nonlinear Robin type BC. The solution is found via linearization. We design a robust and efficient approximation scheme. Error estimates for...
Estimates for Multigrid Methods Based on Red-Black Gauss-Seidel Smoothings.
Fast Poisson Solvers on General Two Dimensional Regions for the Dirichlet Problem.