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Showing papers in "Computer Methods in Applied Mechanics and Engineering in 1987"


Journal ArticleDOI
TL;DR: In this article, the idea of existing hourglass control is carefully examined for its convergence and accuracy, and is extended to include both selective and directional reduced integration methods for anisotropic linear elasticity.

78 citations


Journal ArticleDOI
TL;DR: In this paper, a survey of the physical and mathematical background appertaining to solitons is presented, in particular the numerical solution of three types of dispersive nonlinear partial differential equations exhibiting soliton-type solutions, namely the Korteweg-de Vries equation, the Nonlinear Schrodinger equation, and the Sine-Gordon equation.

78 citations




Journal ArticleDOI
TL;DR: The Generalized Nonlinear Minimal Residual method is shown to consistently accelerate and stabilize iterative algorithms for solving nonlinear problems by using the optimized explicit multistepping algorithm.

16 citations


Journal ArticleDOI
TL;DR: In this paper, the authors propose a simple procedure which extends with minor additions an existing linear elastic program system (ASKA) to geometrically nonlinear applications involving large displacements but small strains.

10 citations



Journal ArticleDOI
TL;DR: In this article, a family of modified equation techniques for one-dimensional reaction-diffusion equations has been developed and applied to the study of a single reactiondiffusion equation which has an exact travelling wave solution.

7 citations



Journal ArticleDOI
TL;DR: In this paper, an iterative procedure for the solution of one-dimensional reactive flow problems has been developed, where the system of ordinary differential equations resulting from the method of lines is broken up into subsets of equations representing the spatial profile of a single species. Each subset is solved individually while holding all other variables constant.

6 citations


Journal ArticleDOI
TL;DR: Etude des difficultes numeriques rencontrees for des deplacements de fluides miscible en milieu poreux and for des fluides non miscibles egalement in MILPoreux.

Journal ArticleDOI
TL;DR: In this paper, the thermomechanics of finite elements of continuous media are discussed, where the state of a finite element is represented by the set of local states at its sampling points.