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The Critical Time Step for Finite-Element Solutions to Two-Dimensional Heat-Conduction Transients

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This article is published in Journal of Heat Transfer-transactions of The Asme.The article was published on 1978-02-01. It has received 35 citations till now. The article focuses on the topics: Mixed finite element method & Extended finite element method.

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A Groundwater Mass Transport and Equilibrium Chemistry Model for Multicomponent Systems

TL;DR: TransQL as mentioned in this paper is a multicomponent transport model for a finite element solution, where the equilibrium interaction chemistry is posed independently of the mass transport equations, which leads to a set of algebraic equations for the chemistry coupled to the set of differential equations for mass transport.
Journal ArticleDOI

Numerical model for radio-frequency ablation of the endocardium and its experimental validation

TL;DR: A theoretical model for the study of the radiofrequency (RF) ablation technique is presented, relying on a finite-element time-domain calculation of the temperature distribution in a block of tissue, resulting from the flow of RF (<1 MHz) electrical current.
Journal ArticleDOI

The use of lumped capacitance in the finite-element solution of heat conduction problems with phase change

TL;DR: In this paper, the authors combined the explicit enthalpy method and Pham's three-level enthalhip method to obtain a diagonal capacitance matrix, which can be used to estimate the specific heat near the phase change point.
Journal ArticleDOI

Application of hybrid-Trefftz element approach to transient heat conduction analysis

TL;DR: In this article, a hybrid-Trefftz element approach for numerical solution of transient linear heat conduction problems is presented, which discretizes the TLC equation with respect to time and then solves the resulting set of elliptic equations by the corresponding time independent hybrid Trefftz elements approach.

Numerical Algorithms in a Lagrangian Hydrocode.

TL;DR: In this paper, the numerical algorithms used in an explicit Lagrangian finite element hydrocode are described, and a comprehensive presentation of the numerical techniques used in a current production hydrocode is presented.
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