Composition Methods, Maxwell's Equations, and Source Terms

ON MAXWELL'S STRESS FUNCTIONS FOR SOLVING THREE DIMENSIONAL ELASTICITY PROBLEMS IN THE THEORY OF ELASTICITY

The governing equations of three dimensional elasticity problems include the six Beltrami-Michell stress compatibility equations, the three differential equations of equilibrium, and the six material constitutive relations; and these are usually solved subject to the boundary conditions. The system of fifteen differential equations is usually difficult to solve, and simplified methods are usual...

Existence of infinitely many solutions for coupled system of Schrödinger-Maxwell's equations

High-Order Numerical Methods for Maxwell's Equations on Unstructured Meshes

For more than fifteen years, spectral finite elements (i.e. finite element methods on hexahedral meshes with mass-lumping) showed their efficiency to model the propagation of acoustic and elastic waves in the time domain, in particular in terms of accuracy. Moreover, their mixed formulation [1] dramatically increases their efficiency in terms of storage and computational time. This approach, wh...

Interpretation of Modified Electromagnetic Theory and Maxwell's Equations on the basis of Charge Variation

Electromagnetic waves are the analytical solutions of Maxwell's equations that represent one of the most elegant and concise ways to state the fundamentals of electricity and magnetism. From them one can develop most of the working relationships in the electric and magnetic fields. Considering deeply the effect of charge variation in Maxwell’s equations for time varying electric and magnetic fi...

Quantum Mechanics_quantum field theory(QFT)

In QFT, quantum mechanical interactions between particles are described by interaction terms between the corresponding underlying fields. QFT interaction terms are similar in spirit to those between charges with electric and magnetic fields in Maxwell's equations. However, unlike the classical fields of Maxwell's theory, fields in QFT generally exist in quantum superpositions of states and are ...