Journal Article10.1016/0045-7825(84)90158-0
Finite element methods for linear hyperbolic problems
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TL;DR: A survey of finite element methods for convectiondiffusion problems and first-order linear hyperbolic problems can be found in this article, where the authors give a survey of some recent work by the authors.
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About: This article is published in Computer Methods in Applied Mechanics and Engineering. The article was published on 01 Sep 1984. The article focuses on the topics: Mixed finite element method & Discontinuous Galerkin method.
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Citations
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TL;DR: A fully-coupled monolithic formulation of the fluid-structure interaction of an incompressible fluid on a moving domain with a nonlinear hyperelastic solid is presented.
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References
•Book
The Finite Element Method for Elliptic Problems
Philippe G. Ciarlet,J. T. Oden +1 more
- 01 Jan 1978
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.
8.9K
On a Finite Element Method for Solving the Neutron Transport Equation
P. Lesaint,P. A. Raviart +1 more
- 01 Jan 1974
TL;DR: The finite element method is studied which provides an effective way for numerically solving such problems and an algorithm for computing the approximate solution is given.
•Book
Finite elements in fluids
Richard H. Gallagher,T. J. Chung +1 more
- 01 Jan 1975
TL;DR: In this paper, the Navier-Stokes Equations were used to model the flow of two Incompressible Non-miscible Viscous Fluids, and the Finite Element method was used to compute the flow.
An analysis of the discontinuous Galerkin method for a scalar hyperbolic equation
Claes Johnson,Juhani Pitkäranta +1 more
TL;DR: In this article, the authors proved Lp stability and error estimates for the discontinuous Galerkin method when applied to a scalar linear hyperbolic equation on a convex polygonal plane domain.