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Analytic functions --- Analytische functies --- Differentiaalvergelijkingen [Elliptische ] --- Differential equations [Elliptic] --- Equations differentielles elliptiques --- Fonctions analytiques --- Finite element method. --- Differential equations, Elliptic. --- Evolution equations, Nonlinear. --- Differential equations --- Differential equations.
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Differential geometry. Global analysis --- Bifurcatietheorie --- Bifurcation [Theorie de la ] --- Bifurcation theory --- Boundary value problems --- Differentiaalvergelijkingen [Elliptische ] --- Differential equations [Elliptic] --- Equations differentielles elliptiques --- Limieten--Vraagstukken --- Problèmes aux limites --- Boundary value problems. --- Differential equations, Elliptic. --- Bifurcation theory. --- Differential equations, Elliptic
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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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Differential geometry. Global analysis --- Calcul des variations --- Calculus of variations --- Differentiaalvergelijkingen [Elliptische ] --- Differential equations [Elliptic] --- Equations differentielles elliptiques --- Hamiltonian systems --- Hamiltonsystemen --- Lagrange [Equations de ] --- Lagrange equations --- Lagrangevergelijkingen --- Systèmes hamiltoniens --- Variatieberekening --- Hamiltonian systems. --- Lagrangian equations. --- Differential equations, Elliptic. --- Calculus of variations. --- 51 --- Differential equations, Elliptic --- Lagrangian equations --- D'Alembert equation --- Equations, Euler-Lagrange --- Equations, Lagrange --- Euler-Lagrange equations --- Differential equations --- Equations of motion --- Hamiltonian dynamical systems --- Systems, Hamiltonian --- Differentiable dynamical systems --- Elliptic differential equations --- Elliptic partial differential equations --- Linear elliptic differential equations --- Differential equations, Linear --- Differential equations, Partial --- Isoperimetrical problems --- Variations, Calculus of --- Maxima and minima --- Mathematics --- 51 Mathematics
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