Explores the Poisson problem with Neumann boundary conditions and periodic boundary conditions in mathematical modeling and fluid dynamics.
Covers the verification and validation process in numerical flow simulation, ensuring credibility of simulation outcomes.
Discusses controlling heat in cutting processes to improve machining quality and tool durability through strategies like high-speed machining and optimizing cutting parameters.
Explores Maxwell's equations in vacuum, photon scanning near-field optical microscope, light confinement, and experimental proof of light effects.
Explores the behavior of naturally curved hair in a 2D space under gravity.
Explores material and energy balances in chemical engineering for process optimization and design.
Explores the Laplace equation in a rectangle using the separation of variables method.
Explores the concept of separation of variables in quantum mechanics and its application in solving differential equations.
Explores using symmetries in Finite Element models to simplify boundary conditions and reduce rigid-body motions.
Discusses interpolation points and mixed boundary conditions in numerical analysis, emphasizing convergence properties and stability implications.