Claes Johnson is prof of applied mathematics at the Royal
Institute of Technology in Stockholm, Sweden.
Claes Johnson is professor of applied mathematics at the Royal Institute of Technology in Stockholm.
- published work on computational mathematics, finite element methods, mechanics/physics
- developed a reformed mathematics education based on a synthesis of analytical/computational mathematics and basic mechanics/physics.
Main research results
(largely together with Johan Hoffman) include
- error analysis of finite element methods
- space-time finite element methods
- stabilized finite element methods
- a posteriori output error control based on duality
- computational turbulence
- resolution of d’Alembert’s paradox
- blowup of incompressible Euler solutions
- new theory of drag and lift
- new explanation of principle of flying sailing and dolphin kick
- new explanation of Magnus, reverse Magnus and Coanda effects
- proof of 2nd law of thermodynamics by finite precision computation instead of statistics
- new explanation of black-body radiation by finite precision computation instead of statistics
- new explanation of arrow of time by finite precision computation instead of statistics.
- new theory of separation in slightly viscous flow.
FEniCS: Automation of computational
- inefficient out-dated mathematics/science/engineering education
- statistical mechanics as basis of thermodynamics
- statistical interpretation of quantum mechanics
- Prandtl’s boundary layer theory
- Kutta-Zhukovsky’s circulation theory
- exclusion of wellposedness in the Clay Navier-Stokes problem
- non-physical nature of special relativity.