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A finite element approximations with an implicit Euler scheme is analyzed. This involves numerical integration of a semi-linear parabolic-differential inclusion arising in a model of reactive mass transport in porous media with a dissolution/precipitation process. The model is composed of...
This paper deals with discrete monotone iterative algorithms for solving a nonlinear singularly perturbed convection–diffusion problem. Firstly, the monotone method (known as the method of lower and upper solutions) is applied to computing a nonlinear difference scheme obtained after...
We study convergence properties of an upwinded finite element method for the solution of linear one-dimensional reaction–convection–diffusion problems on arbitrary meshes. We derive conditions that are sufficient for (almost) first-order convergence in the L ∞ norm, uniformly in the...
We discuss a variable order wavelet method for boundary integral formulations of elliptic boundary value problems. The wavelet basis functions are transformations of standard nodal basis functions and have a variable number of vanishing moments. For integral equations of the second kind we will...
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