Journal ArticleDOI
A third order accurate discontinuous finite element method for the one-dimensional Stefan problem
R Bonnerot,P Jamet +1 more
TLDR
In this paper, a third order accurate method is proposed for the numerical solution of the one-dimensional Stefan problem, which is specially appropriate for the computation of solutions which admit singularities at the initial time or on the boundary.About:
This article is published in Journal of Computational Physics.The article was published on 1979-08-01. It has received 32 citations till now. The article focuses on the topics: Stefan problem & Mixed finite element method.read more
Citations
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Journal ArticleDOI
Space-time finite element methods for second-order hyperbolic equations
TL;DR: Space-time finite element methods are presented to accurately solve elastodynamics problems that include sharp gradients due to propagating waves in this paper, where linear stabilizing mechanisms are included which do not degrade the accuracy of the space time finite element formulation.
Journal ArticleDOI
A bibliography on moving-free boundary problems for the heat-diffusion equation. The stefan and related problems
TL;DR: Tarzia et al. as discussed by the authors presented a bibliografía on moving and free boundary problems for the heatdiffusion equation, particularly regarding the Stefan and related problems, which contains 5869 titles referring to 588 scientific journals, 122 books, 88 symposia, 30 collections, 59 thesis and 247 technical reports.
Journal ArticleDOI
Time finite element methods for structural dynamics
TL;DR: In this paper, the time-discontinuous Galerkin and least-squares methods for structural dynamics were used to prove a general convergence theorem in a norm stronger than the energy norm.
Journal ArticleDOI
A taylor-petrov-galerkin algorithm for viscoelastic flow
TL;DR: In this paper, a viscoelastic flow is solved using a generalised Taylor-Galerkin/pressure correction scheme that incorporates consistent Petrov and Galerkin streamline upwinding within the discretisation of the constitutive equations.
Journal ArticleDOI
The physics of mathematical frost heave models: A review
TL;DR: In this article, the physical and thermodynamic bases of frost heave modeling are discussed, and a selection of specific mathematical models is discussed, in light of the points raised in the general discussion.
References
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Book
The Finite Element Method for Elliptic Problems
Philippe G. Ciarlet,J. T. Oden +1 more
TL;DR: The finite element method has been applied to a variety of nonlinear problems, e.g., Elliptic boundary value problems as discussed by the authors, plate problems, and second-order problems.
Book
The finite element method in engineering science
TL;DR: In this paper, the authors describe how people search numerous times for their favorite books like this the finite element method in engineering science, but end up in malicious downloads, and instead they cope with some infectious bugs inside their computer.
Book
Galerkin-type approximations which are discontinuous in time for parabolic equations in a variable domain
TL;DR: In this paper, the authors consider general linear parabolic equations in a given time dependent domain and describe a general class of Galerkin-type approximations which are continuous with respect to the space variables, but which admit discontinuities in time at each step.
Journal ArticleDOI
On the numerical integration of a parabolic differential equation subject to a moving boundary condition
Jim Douglas,T. M. Gallie +1 more
Journal ArticleDOI
Numerical computation of the free boundary for the two-dimensional Stefan problem by space-time finite elements
R Bonnerot,P Jamet +1 more
TL;DR: In this article, a finite element method for the numerical solution of the two-dimensional Stefan problem is described, where at each time step, the free boundary is approximated by a polygonal line whose vertices coincide with triangulation nodes.
Related Papers (5)
A second order finite element method for the one‐dimensional Stefan problem
R. Bonnerot,P Jamet +1 more
Numerical computation of the free boundary for the two-dimensional Stefan problem by space-time finite elements
R Bonnerot,P Jamet +1 more