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 also work on deep learning for solving partial differential equations.
We are active within the Chalmers Areas of Advance, in particular within Digital Twin Cities 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|
||Stochastic partial differential equations|
||Stochastic partial differential equations, random fields, stochastic simulation|
||Finite element methods, deterministic and stochastic PDE |
||Finite element methods, adaptivity, high-performance computing, applications |
||Geometric numerical integration, shape analysis, geometric hydrodynamics|
||Partial differential equations, multiscale problems|
||Asymptotic analysis and homogenization theory|
||Iterative methods for linear systems, parallel computations|
||Numerical analysis of evolution problems|
|Postdocs and researchers
||Digital twin cities|
||Deep learning for traffic flow problems|
||Industrial PhD student at FCC. Multiscale methods for paper forming|
||FEM for multiscale problems|
||Analysis and applications of finite element methods on overlapping meshes |
||Stochastic partial differential equations
||Deep learning for 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.