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A Generalization of the Potential Method for Conditional Maxima on the Banach, Reflexive Spaces.

T. Pietrzykowski (1971/1972)

Numerische Mathematik

A method for obtaining iterative formulas of higer order

B. Jovanović (1972)

Matematički Vesnik

A mixed-FEM and BEM coupling for the approximation of the scattering of thermal waves in locally non-homogeneous media

María-Luisa Rapún, Francisco-Javier Sayas (2006)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

This paper proposes and analyzes a BEM-FEM scheme to approximate a time-harmonic diffusion problem in the plane with non-constant coefficients in a bounded area. The model is set as a Helmholtz transmission problem with adsorption and with non-constant coefficients in a bounded domain. We reformulate the problem as a four-field system. For the temperature and the heat flux we use piecewise constant functions and lowest order Raviart-Thomas elements associated to a triangulation approximating the...

A mixed-FEM and BEM coupling for the approximation of the scattering of thermal waves in locally non-homogeneous media

María-Luisa Rapún, Francisco-Javier Sayas (2007)

ESAIM: Mathematical Modelling and Numerical Analysis

A Modified Continuation Method for the Numerical Solution of Nonlinear Two-Point Boundary Value Problems by Shooting Techniques.

P. Deuflhard, H.J. Pesch, P. Rentrop (1976)

Numerische Mathematik

A Note on the Theory of Limit Processes for Solving Finite Equations.

Veikko Seppäla (1972/1973)

Numerische Mathematik

A Perturbed Iterative Method for a General Class of Variational Inequalities

Adly, Samir (1996)

Serdica Mathematical Journal

The generalized Wiener-Hopf equation and the approximation methods are used to propose a perturbed iterative method to compute the solutions of a general class of nonlinear variational inequalities.

A reduction method for approximate solving large elliptic systems

Ivo Marek (1974)

Acta Universitatis Carolinae. Mathematica et Physica

A unified analysis of elliptic problems with various boundary conditions and their approximation

Jérôme Droniou, Robert Eymard, Thierry Gallouët, Raphaèle Herbin (2020)

Czechoslovak Mathematical Journal

We design an abstract setting for the approximation in Banach spaces of operators acting in duality. A typical example are the gradient and divergence operators in Lebesgue-Sobolev spaces on a bounded domain. We apply this abstract setting to the numerical approximation of Leray-Lions type problems, which include in particular linear diffusion. The main interest of the abstract setting is to provide a unified convergence analysis that simultaneously covers (i) all usual boundary conditions, (ii)...