We teach and perform research on the design, analysis, implementation and application of numerical methods for the solution of ordinary and partial differential equations. In particular, we study adaptive finite element methods, stochastic partial differential equations, transport equations, geometric integration and applications in medical image registration, inverse problems, mathematical physics, design, architecture, construction and virtual/augmented reality (VR/AR).
We are active within the Chalmers Areas of Advance, in particular within the Building Futures and Information and Communication Technologies.
We organize the weekly Computational and Applied Mathematics Seminar (CAM seminar). The seminar meets on Wednesdays at 14.15-15.00 in room MVL14.
Researchers and teachers
||Finite element methods, partial differential equations|
||Finite element methods for partial differential equations|
||Inverse problems, adaptive finite element methods, high-performance scientific computing, real-life applications|
||Nonlinear eigenvalue problems|
||Fractional diffusion equations, stochastic PDE|
||Stochastic partial differential equations, random fields, stochastic simulation|
||Finite element methods, deterministic and stochastic PDE |
||Finite element methods, adaptivity, high-performance computing, applications |
||Partial differential equations, multiscale problems|
||Iterative methods for linear systems, parallel computations|
||Numerical analysis of evolution problems|
||Numerical methods for partial differential equations on fractured domains|
||Industrial PhD student at Arcam AB. Additive manufacturing|
||Industrial PhD student at FCC. Microstructure simulation of paper forming|
||FEM for multiscale problems|
||Analysis and applications of finite element methods on overlapping meshes |
||Numerical approximation and simulation of stochastic partial differential equations|
FEniCS is a world-leading computing platform for the solution of partial differential equations in Python and C++. FEniCS was founded in collaboration between Chalmers and the University of Chicago in 2003 and has since reached widespread use and recognition worldwide.
Together with the City of Gothenburg and Fraunhofer-Chalmers Centre Research Centre for Industrial Mathematics, the Chalmers Area of Advance Building Futures has decided to take on the challenge of building a virtual city platform. The project Virtual City@Chalmers aims to compile expertise in modelling, simulation, urban planning, computer science and other research fields to build a dynamic and interactive virtual city platform.