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This monograph gives a description of all algorithmic steps and a mathematical foundation for a special numerical method, namely the boundary-domain integral method (BDIM). This method is a generalization of the well-known boundary element method, but it is also applicable to linear elliptic systems with variable coefficients, especially to shell equations. The text should be understandable at the beginning graduate-level. It is addressed to researchers in the fields of numerical analysis and computational mechanics, and will be of interest to everyone looking at serious alternatives to the well-established finite element methods.

Partial differential equations --- Shells (Engineering) --- Boundary element methods --- Differential equations, Elliptic --- Mathematical models --- Civil Engineering --- Mathematical Theory --- Civil & Environmental Engineering --- Mathematics --- Physical Sciences & Mathematics --- Engineering & Applied Sciences --- Differentiaalvergelijkingen [Elliptische ] --- Differential equations [Elliptic] --- Eindige elementen methoden --- Equations differentielles elliptiques --- Méthode de limite des éléments --- Numerical analysis. --- Partial differential equations. --- Numerical Analysis. --- Partial Differential Equations. --- Mathematical analysis --- Shells (Engineering) - Mathematical models

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Eindige elementen [Methode van ] --- Elements finis [Methode des ] --- Finite element method --- Error analysis (Mathematics) --- Numerical analysis --- Erreurs, Théorie des --- Analyse numérique --- Differential equations, Elliptic --- -Differential equations, Nonlinear --- -Error analysis (Mathematics) --- 519.6 --- 681.3 *G18 --- Errors, Theory of --- Instrumental variables (Statistics) --- Mathematical statistics --- Statistics --- Nonlinear differential equations --- Nonlinear theories --- Elliptic differential equations --- Elliptic partial differential equations --- Linear elliptic differential equations --- Differential equations, Linear --- Differential equations, Partial --- Numerical solutions --- Computational mathematics. Numerical analysis. Computer programming --- Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Differential equations, Nonlinear --- Numerical solutions. --- Error analysis (Mathematics). --- 681.3 *G18 Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- Erreurs, Théorie des --- Analyse numérique