Computational Field Theory

Overview

Core fields of research

Basic natural phenomena and mathematical thinking

Research areas

Computational Science

Faculty

Faculty of Information Technology

Research group description

Our research group studies discrete exterior calculus and uses it to solve wave equations. Our application domains include electromagnetism, acoustics, elasticity and quantum mechanics.

Current

Members

Research group

Group leaders

Tuomo Rossi

Professor

Members

Lauri Kettunen

Professor

Sanna Mönkölä

Senior Lecturer (absent)

External members

Markus Kivioja

Doctoral Researcher

Supercell

Publications

Publication

2003

A Domain Imbedding Method with Distributed Lagrange Multipliers for Acoustic Scattering Problems

WAVES 2003: Proceedings of the Sixth International Conference on Mathematical and Numerical Aspects of Wave Propagation. Springer-Verlag.

Heikkola, Erkki

Rossi, Tuomo

Toivanen, Jari

Publication

2003

A parallel fictitious domain method for the three-dimensional Helmholtz equation

SIAM Journal on Scientific Computing.

Heikkola, Erkki

Toivanen, Jari

Rossi, Tuomo

Publication

2003

Efficient Metacomputing of Elliptic Linear and Non-linear Problems

Journal of Parallel and Distributed Computing.

Barberou, N.

Garbey, M.

Hess, M.

Resch, M.

Rossi, Tuomo

Toivanen, Jari

Tromeur-Dervout, D.

Publication

2003

Fast direct solution of the Helmholtz equation with a perfectly matched layer or an absorbing boundary condition

International Journal for Numerical Methods in Engineering.

Heikkola, Erkki

Toivanen, Jari

Rossi, Tuomo

Publication

2003

Fast Direct Solver for a Time-harmonic Electromagnetic Problem with an Application

WAVES 2003: Proceedings of the Sixth International Conference on Mathematical and Numerical Aspects of Wave Propagation. Springer-Verlag.

Martikainen, Janne

Rossi, Tuomo

Rogovin, Kevin

Toivanen, Jari

Publication

2003

Multilevel Preconditioners for Lagrange Multipliers in Domain Imbedding

Electronic Transactions on Numerical Analysis.

Martikainen, Janne

Toivanen, Jari

Rossi, Tuomo

Publication

2002

A fast direct solver for elliptic problems with a divergence constraint

Numerical Linear Algebra with Applications.

Martikainen, Janne

Toivanen, Jari

Rossi, Tuomo

Publication

2002

A Preconditioner for Linear Elasticity Problems

Proceedings of the 13th International Conference on Domain Decomposition Methods. CIMNE UPS.

Martikainen, Janne

Rossi, Tuomo

Mäkinen, Raino

Toivanen, Jari

Publication

2002

An Aitken-Schwarz Method for Efficient Metacomputing of Elliptic Equations

Proceedings of the 14th International Conference on Domain Decomposition Methods.

Barberou, N.

Garbey, M.

Hess, M.

Resch, M.

Rossi, Tuomo

Toivanen, J.

Publication

2002

An Object-oriented Framework for the Implementation of Domain Decomposition Algorithms

Reports of the Department of Mathematical Information Technology, Series B. Scientific Computing. Unknown.

Heikkola, Erkki

Mönkölä, Sanna

Publication

2002

Efficient iterative solution of the Helmholtz equation with an optimized PML

FORUM ACUSTICUM SEVILLA 2002, Sevilla, Spain, 16-20 September 2002. Sociedad Espanola de Acustica.

Heikkola, Erkki

Mönkölä, Sanna

Rossi, Tuomo

Toivanen, Jari

Publication

2002

Fast Solvers for the Helmholtz Equation with a Perfectly Matched Layer / An Absorbing Boundary Condition

Proceedings of the Fifth World Congresson Computational Mechanics (WCCM V), July 7-12, 2002, Vienna, Austria. Vienna University of Technology.

Heikkola, Erkki

Toivanen, Jari

Rossi, Tuomo