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Adaptive finite element methods for differential equations

- E. Süli
- Mathematics, Computer Science
- Math. Comput.
- 2005

TLDR

Discontinuous hp-Finite Element Methods for Advection-Diffusion-Reaction Problems

- P. Houston, C. Schwab, E. Süli
- Mathematics, Computer Science
- SIAM J. Numer. Anal.
- 1 June 2001

TLDR

Numerical solution of partial differential equations

- E. Süli
- 2013

Numerical solution of PDEs is rich and active field of modern applied mathematics. The steady growth of the subject is stimulated by everincreasing demands from the natural sciences, engineering and… Expand

An introduction to numerical analysis

Numerical analysis provides the theoretical foundation for the numerical algorithms we rely on to solve a multitude of computational problems in science. Based on a successful course at Oxford… Expand

Enhanced accuracy by post-processing for finite element methods for hyperbolic equations

- Bernardo Cockburn, M. Luskin, Chi-Wang Shu, E. Süli
- Computer Science, Mathematics
- Math. Comput.
- 1 April 2003

TLDR

Adjoint methods for PDEs: a posteriori error analysis and postprocessing by duality

We give an overview of recent developments concerning the use of adjoint methods in two areas: the a posteriori error analysis of finite element methods for the numerical solution of partial… Expand

DISCONTINUOUS GALERKIN METHODS FOR FIRST-ORDER HYPERBOLIC PROBLEMS

- F. Brezzi, L. D. Marini, E. Süli
- Mathematics
- 1 December 2004

The main aim of this paper is to highlight that, when dealing with DG methods for linear hyperbolic equations or advection-dominated equations, it is much more convenient to write the upwind… Expand

Convergence and nonlinear stability of the Lagrange-Galerkin method for the Navier-Stokes equations

- E. Süli
- Mathematics
- 1 July 1988

SummaryThe Lagrange-Galerkin method is a numerical technique for solving convection — dominated diffusion problems, based on combining a special discretisation of the Lagrangian material derivative… Expand

Numerical Solution of Ordinary Differential Equations

- E. Süli
- 2010

• It is often the case when modeling some phenomena that we know something about the rate of change of the quantity of interest, that is, its derivative. • For example, in Calculus I you probably… Expand

Stabilization mechanisms in discontinuous Galerkin finite element methods

- F. Brezzi, Bernardo Cockburn, L. D. Marini, E. Süli
- Mathematics
- 1 May 2006

In this paper we propose a new general framework for DG methods which allows to uncover a basic mechanism that ensures suitable stability properties of the methods. We show that such a mechanism is… Expand

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