Singular solutions of a transmission problem in plane linear elasticity for wedge-shaped regions.
Singularities in two- and three-dimensional elliptic problems and finite element methods for their treatment
Skipping transition conditions in a posteriori error estimates for finite element discretizations of parabolic equations
In this paper we derive a posteriori error estimates for the heat equation. The time discretization strategy is based on a θ-method and the mesh used for each time-slab is independent of the mesh used for the previous time-slab. The novelty of this paper is an upper bound for the error caused by the coarsening of the mesh used for computing the solution in the previous time-slab. The technique applied for deriving this upper bound is independent of the problem and can be generalized to other time...
Small-stencil 3D schemes for diffusive flows in porous media
In this paper, we study some discretization schemes for diffusive flows in heterogeneous anisotropic porous media. We first introduce the notion of gradient scheme, and show that several existing schemes fall into this framework. Then, we construct two new gradient schemes which have the advantage of a small stencil. Numerical results obtained for real reservoir meshes show the efficiency of the new schemes, compared to existing ones.
Small-stencil 3D schemes for diffusive flows in porous media
In this paper, we study some discretization schemes for diffusive flows in heterogeneous anisotropic porous media. We first introduce the notion of gradient scheme, and show that several existing schemes fall into this framework. Then, we construct two new gradient schemes which have the advantage of a small stencil. Numerical results obtained for real reservoir meshes show the efficiency of the new schemes, compared to existing ones.
Smoothed prolongation multigrid with rapid coarsening and massive smoothing
We prove that within the frame of smoothed prolongations, rapid coarsening between first two levels can be compensated by massive prolongation smoothing and pre- and post-smoothing derived from the prolongator smoother.
Solution of a class of quasilinear Dirichlet and Neumann problems by the method of reduction.
Solution of a class of quasilinear Dirichlet and Neumann problems by the method of reduction. (Short Communication).
Solution of a finite-dimensional problem with -mappings and diagonal multivalued operators.
Solution of Monotone Nonlinear Elliptic Boundary Value Problems.
Solution of Partial Differential Equations by a Modified Random Walk.
Solution of singular elliptic PDEs on a union of rectangles using sinc methods.
Solutions numériques de problèmes de bifurcation
Solutions stables d'un problème simplifié de coque élastique
Solving initial-boundary value problems for coupled systems of partial differential equations
Solving Large Nonlinear Systems of Equations by an Adaptive Condensation Process.
Solving of heat shock on a hybrid system
Solving the multidimensional difference biharmonic equation by the Monte Carlo method.
Solving the Second Boundary value Problem in four space Variables
Some algebraic aspects of multigrid methods