Book Review: Finite element Galerkin methods for differential equations
نویسندگان
چکیده
منابع مشابه
Adaptive finite element methods for differential equations
Gegenstand des Buches ist die Dual Weighted Residual method (DWR), ein sehr effizientes numerisches Verfahren zur Behandlung einer großen Klasse von variationell formulierten Differentialgleichungen. Das numerische Verfahren ist adaptiv, d.h. es konstruiert eigenständig eine Folge von Approximationen für eine gegebene Fragestellung. Typische Fragestellungen sind die Bestimmung gewichteter Mitte...
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We compare a kernel-based collocation method (meshfree approximation method) with a Galerkin finite element method for solving elliptic stochastic partial differential equations driven by Gaussian noise. The kernel-based collocation solution is a linear combination of reproducing kernels obtained from related differential and boundary operators centered at chosen collocation points. Its random ...
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We consider Galerkin finite element methods for the nonlinear Klein-Gordon equation, giving the first optimal-order energy norm semidiscrete error estimates for non-Lipschitz nonlinearity. The result holds quite generally in one and two space dimensions and under a certain growth restriction in three. We also discuss some time stepping strategies and present numerical results.
متن کاملImplementing Galerkin Finite Element Methods for Semilinear Elliptic Differential Inclusions
Relaxed one-sided Lipschitz conditions play an important role when analyzing ordinary differential inclusions. They allow to derive a-priori estimates of solutions and convergence estimates for explicit and implicit time discretizations. In this paper we consider Galerkin finite element discretizations of semilinear elliptic inclusions that satisfy a relaxed one-sided Lipschitz condition. It is...
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Control Twente (IMPACT) and partly by ADIGMA, a European project on the development of adaptive higher order variational methods for aerospace applications. Dit proefschrift is goedgekeurd door de promotor prof. dr. ir.
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1979
ISSN: 0273-0979
DOI: 10.1090/s0273-0979-1979-14571-3