Physics-Compatible Finite Element Methods for Scalar and Tensorial Advection Problems

Discover cutting-edge techniques in "Physics-Compatible Finite Element Methods for Scalar and Tensorial Advection Problems" by Christoph Lohmann, published by Springer Fachmedien Wiesbaden in 2019. This comprehensive 283-page paperback delves into innovative limiting techniques that effectively control the solution values for advected scalar quantities and the eigenvalue range of symmetric tensors. Lohmann introduces eigenvalue range preserving limiters and admissible closure approximations, culminating in a robust, physics-compatible numerical algorithm tailored for complex models. This book is an essential resource for researchers and practitioners seeking to enhance their understanding of finite element methods in the context of advection problems. Equip yourself with the knowledge to tackle advanced challenges in computational physics and engineering with this insightful work.