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

1999

A Nonstandard Cyclic Reduction Method, its

SIAM J. Matrix Anal. Appl.

Rossi, Tuomo

Toivanen, Jari

Publication

1999

A Parallel Fast Direct Solver for BlockTridiagonal Systems with Separable Matrices of Arbitrary Dimension

SIAM J. Sci. Comput.

Rossi, Tuomo

Toivanen, Jari

Publication

1999

A Parallel Fictitious Domain Method for the Three-dimensional Helmholtz Equation

Proceedings of the Ninth SIAM Conference on Parallel Processing in Scientific Computing.

Heikkola, Erkki

Toivanen, Jari

Rossi, Tuomo

Publication

1999

Parallel algorithms for very large structured and unstructured systems of linear algebraic equations with applications in acoustics

CSC Report on Scientific Computing 1997-1998. CSC Tieteellinen laskenta.

Heikkola, Erkki

Rossi, Tuomo

Toivanen, Jari

Mäkinen, Raino

Publication

1999

Parallel Fictitious Domain Method for a Nonlinear Elliptic Neumann Boundary Value Problem

Numer. Linear Algebra Appl.

Rossi, Tuomo

Toivanen, Jari

Publication

1998

Efficient Preconditioners Based on Fictitious Domains for Elliptic FE-problems with Lagrange Multipliers

ENUMATH 97 - Proceedings of the Second European Conference on Numerical Mathematics and Advanced Applications. World Scientific.

Heikkola, Erkki

Rossi, Tuomo

Kuznetsov, Yuri A.

Tarvainen, Pasi