J. Rappaz

Followers

Following

Co-authors

Public Views

Jordi Vallverdú

Universitat Autònoma de Barcelona

Jayjit Majumdar

University of Kalyani

Estela Blaisten-Barojas

George Mason University

Armando Marques-Guedes

UNL - New University of Lisbon

Karl Stephen

Heriot-Watt University

Suman Paul

Presidency University, Bengaluru

Orhan Kavak

Dicle University

Isad Saric

University of Sarajevo

Oliver Nakoinz

Christian-Albrechts-Universität zu Kiel

Julius U Akpabio

University of Uyo, Uyo, Nigeria

Interests

Uploads

Papers by J. Rappaz

Approximation du spectre d'un opérateur non compact

Error-Estimates in Various Norms for the Approximation of Bifurcation Problems

Comptes Rendus De L Academie Des Sciences Serie I-mathematique, 1983

Note: Rappaz, j, ecole polytech fed lausanne,dept math,ch-1015 lausanne,switzerland.ISI Document ... more

Eléments d"équations aux dérivées partielles pour ingénieurs. Théorie et méthodes numériques 2

Note: With the assistance of G. Caloz Reference ANA-BOOK-2009-002 Record created on 2009-02-17, m... more

On a two-dimensional magnetohydrodynamic problem. II. Numerical analysis

ESAIM: Mathematical Modelling and Numerical Analysis, 1996

On a two-dimensional magnetohydrodynamic problem. II. Numerical analysis Modélisation mathématiqu... more

Download

Numerical Analysis and Simulation of the Dynamics of Mountain Glaciers

Computational Methods in Applied Sciences, 2014

In this paper, we analyse and approximate a nonlinear stationary Stokes problem that describes th... more In this paper, we analyse and approximate a nonlinear stationary Stokes problem that describes the motion of glacier ice. The existence and uniqueness of solution are proved and an a priori error estimate for the finite element approximation is found. In a second time, we combine the Stokes problem with a transport equation for the volume fraction of ice which describes the time evolution of a glacier. The accumulation due to snow precipitation and the melting are accounted in the source term of the transport equation. A decoupling algorithm allows the diffusion and the advection problems to be solved using a two-grids method. As an illustration, we simulate Aletschgletscher, Switzerland, over the 21st century by using realistic climatic conditions.

Download

ASTRID: Structured finite element and finite volume programs adapted to parallel vectorcomputers

Computer Physics Reports, 1989

ABSTRACT ASTRID is an interdisciplinary project which aims at implementing a set of structured fi... more ABSTRACT ASTRID is an interdisciplinary project which aims at implementing a set of structured finite eiement or finite volume programs adapted to the architecture of parallel vector computers with large central memories. All CPU time consuming sections such as mesh generation, matrix construction and solver are highly vectorized and parallelized. Each numerical experiment is an independent program which runs on three virtual machines adapted to particular tasks. One program includes all components required in an industrial code: a man-machine interface, a multimac~ne data base, a structured semi-automatic adaptive mesh generator, a graphic interpretation system and a documentation system which are all interactive. In future, an expert system should guarantee that achieved engineering know-how be preserved.

Studium der Eigenschwingungen eines zylindrischen Plasmas mit der Methode der finiten Elemente

Zeitschrift für angewandte Mathematik und Physik ZAMP, 1974

Download

Eigenvalue approximation by mixed and hybrid methods

Mathematics of Computation, 1981

Rate of convergence estimates are derived fro the approximation of eigenvalues and eigenvectors b... more Rate of convergence estimates are derived fro the approximation of eigenvalues and eigenvectors by mixed and hybrid methods. Several closely related abstract results on spectral approximation are proved. These results are then applied to a variety of finite element methods of mixed and hybrid type: a mixed method for 2nd order problems, mixed methods for 4th order problems, a hybrid method for 2nd order problems, and two mixed methods for the Stokes eigenvalue problem.

Download

Numerical Modeling of Induction Heating for Two-Dimensional Geometries

Mathematical Models and Methods in Applied Sciences, 1993

We present both a mathematical model and a numerical method for simulating induction heating proc... more We present both a mathematical model and a numerical method for simulating induction heating processes. The geometry of the conductors is cylindrical and the magnetic field is assumed to be parallel to the invariance axis. The model equations have current tension as prescribed data rather than current intensity. In particular, the formulation of the electromagnetic problem uses the magnetic field as the unknown function. The numerical method takes into account the time periodicity of the prescribed tension and deals with the two different time scales of electromagnetic and thermal phenomena.

Download

Some Mathematical and Numerical Aspects in Aluminum Production

Journal of Scientific Computing, 2008

In this paper, we present a mathematical modeling of some magnetohydrodynamic effects arising in ... more In this paper, we present a mathematical modeling of some magnetohydrodynamic effects arising in an aluminum production cell as well as its numerical approximation by a finite element method. We put the emphasis on the magnetic effects which live in the whole three dimensional space and which are solved numerically with a domain decomposition method.

Download

Numerical modeling of electromagnetic casting processes

Journal of Computational Physics, 1990

ABSTRACT The main goal of this paper is to present a numerical model describing the major physica... more ABSTRACT The main goal of this paper is to present a numerical model describing the major physical phenomena involved in electromagnetic casting industrial processes as precisely as possible. Under suitable physical assumptions, we derive the set of equations in the two-dimensional case; we describe in detail the numerical methods used to solve such equations and derive an iterative algorithm. Numerical results describing the case of an aluminium ingot are presented in order to show the efliciency of the method. lc&#39; 1991 Academic Press. Inc.

Numerical simulation of three-dimensional free surface flows

International Journal for Numerical Methods in Fluids, 2003

A numerical model is presented for the simulation of complex fluid flows with free surfaces in th... more A numerical model is presented for the simulation of complex fluid flows with free surfaces in three space dimensions. The model described in Maronnier et al. (J. Comput. Phys. 1999; 155(2) : 439) is extended to three dimensional situations. The mathematical formulation of the model is similar to that of the volume of fluid (VOF) method, but the numerical procedures

Numerical modelling of induction heating of long workpieces

IEEE Transactions on Magnetics, 1994

Abstract-We consider in this paper an induction heating process. A mathematical model is presente... more

Numerical modeling in induction heating for axisymmetric geometries

IEEE Transactions on Magnetics, 1997

This paper deals with numerical simulation of induction heating for axisymmetric geometries. A ma... more This paper deals with numerical simulation of induction heating for axisymmetric geometries. A mathematical model is presented, together with a numerical scheme based on the Finite Element Method. A numerical simulation code was implemented using the model presented in this paper. A comparison between rcsults given by the code and experimental measurements is provided.

Download

Approximation of multi-scale elliptic problems using patches of finite elements

Comptes Rendus Mathematique, 2003

Download

Étude Numérique Des Modes Propres D'Un Plasma Cylindrique Homogène Par La Méthode Des Éléments Finis

Zeitschrift für angewandte Mathematik und Physik ZAMP, 1974

Note: Ecole politech fed lausanne,ctr rech phys plasmas,lausanne,switzerland.ISI Document Deliver... more

Numerical Simulation of Magnetohydrodynamic Phenomena Applied to the Electrolysis of Aluminum

Abstract. The industrial process used to extract aluminum from alumina is a complex mul-tiphysics... more Abstract. The industrial process used to extract aluminum from alumina is a complex mul-tiphysics phenomenon. Solid alumina (Al2O3) is injected and solved in a corrosive fluid, called electrolytic bath, at a temperature around 1000oC. The molecules are split into positive and negative ions. Liquid aluminum is then obtained by applying a strong electric current between electrodes placed on top and bottom of the fluid. Since the bath and the liquid aluminum are immiscible, they are separated by a free interface, who is moving due to Lorentz forces induced by the interaction of electric current and magnetic induction. The numerical simulation of this phenomenon is very useful to optimize the design of the elec-trolysis cells and has been treated by many authors (See for example [1] for a time evolutive 3D model or [2] for a linear analysis of the stability of stationary solutions). In this talk we present a numerical scheme based on time splitting algorithms for the simula-tion of the ...

Download

Eigenvalue Approximation via Non-Conforming and Hybrid Finite Element Methods

Publications des séminaires de mathématiques et informatique de Rennes, 1978, fascicule S4 « Jour... more

Download

Approximation of Hopf Bifurcation for Semilinear Parabolic Equations

Numerical Methods for Bifurcation Problems

For a system of semilinear parabolic equations which presents a Hopf bifurcation, we define a gen... more

Existence for a stationary model of binary alloy solidification

ESAIM: Mathematical Modelling and Numerical Analysis

Existence for a stationary model of binary alloy solidification RAIRO-Modélisation mathématique e... more

Download

Approximation du spectre d'un opérateur non compact

Error-Estimates in Various Norms for the Approximation of Bifurcation Problems

Comptes Rendus De L Academie Des Sciences Serie I-mathematique, 1983

Note: Rappaz, j, ecole polytech fed lausanne,dept math,ch-1015 lausanne,switzerland.ISI Document ... more

Eléments d"équations aux dérivées partielles pour ingénieurs. Théorie et méthodes numériques 2

Note: With the assistance of G. Caloz Reference ANA-BOOK-2009-002 Record created on 2009-02-17, m... more

On a two-dimensional magnetohydrodynamic problem. II. Numerical analysis

ESAIM: Mathematical Modelling and Numerical Analysis, 1996

On a two-dimensional magnetohydrodynamic problem. II. Numerical analysis Modélisation mathématiqu... more

Download

Numerical Analysis and Simulation of the Dynamics of Mountain Glaciers

Computational Methods in Applied Sciences, 2014

Download

ASTRID: Structured finite element and finite volume programs adapted to parallel vectorcomputers

Computer Physics Reports, 1989

Studium der Eigenschwingungen eines zylindrischen Plasmas mit der Methode der finiten Elemente

Zeitschrift für angewandte Mathematik und Physik ZAMP, 1974

Download

Eigenvalue approximation by mixed and hybrid methods

Mathematics of Computation, 1981

Download

Numerical Modeling of Induction Heating for Two-Dimensional Geometries

Mathematical Models and Methods in Applied Sciences, 1993

Download

Some Mathematical and Numerical Aspects in Aluminum Production

Journal of Scientific Computing, 2008

Download

Numerical modeling of electromagnetic casting processes

Journal of Computational Physics, 1990

Numerical simulation of three-dimensional free surface flows

International Journal for Numerical Methods in Fluids, 2003

Numerical modelling of induction heating of long workpieces

IEEE Transactions on Magnetics, 1994

Abstract-We consider in this paper an induction heating process. A mathematical model is presente... more

Numerical modeling in induction heating for axisymmetric geometries

IEEE Transactions on Magnetics, 1997

Download

Approximation of multi-scale elliptic problems using patches of finite elements

Comptes Rendus Mathematique, 2003

Download

Étude Numérique Des Modes Propres D'Un Plasma Cylindrique Homogène Par La Méthode Des Éléments Finis

Zeitschrift für angewandte Mathematik und Physik ZAMP, 1974

Note: Ecole politech fed lausanne,ctr rech phys plasmas,lausanne,switzerland.ISI Document Deliver... more

Numerical Simulation of Magnetohydrodynamic Phenomena Applied to the Electrolysis of Aluminum

Download

Eigenvalue Approximation via Non-Conforming and Hybrid Finite Element Methods

Publications des séminaires de mathématiques et informatique de Rennes, 1978, fascicule S4 « Jour... more

Download

Approximation of Hopf Bifurcation for Semilinear Parabolic Equations

Numerical Methods for Bifurcation Problems

For a system of semilinear parabolic equations which presents a Hopf bifurcation, we define a gen... more

Existence for a stationary model of binary alloy solidification

ESAIM: Mathematical Modelling and Numerical Analysis

Existence for a stationary model of binary alloy solidification RAIRO-Modélisation mathématique e... more

Download

J. Rappaz

Related Authors

Uploads

Papers by J. Rappaz

Log In