This thesis deals with the higher-order Finite Element Method (FEM) for computational electromagnetics. The hp-version of FEM combines local mesh refinement (h) and local increase of the polynomial order of the approximation space (p). A key tool in the design and the analysis of numerical methods for electromagnetic problems is the de Rham Complex relating the function spaces H1(Ω), H(curl,Ω),...

For $10$ such that \[ \|{ P }\|_{L^p(\Omega,\mathbb{R}^{3\times3})}\leq c\,\left(\|{\operatorname{de...

Fractional curl operator has been used to derive solutions to the Maxwell equations for fractional rectangular cavity resonator. These solutions to the Maxwell equations may be regarded as fractional dual solutions. Behavior of field lines and surface current density in fractional cavity resonator have been investigated with respect to the fractional parameter. Fractional parameter describes th...

Finite element approximation to a decoupled formulation for the quad-curl problem is studied in this paper. The difficulty of constructing elements with certain conformity quad–curl problems has been greatly reduced. For convex domains, where regularity assumption holds Stokes equation, curl true solution quadratic order convergence and first energy norm. If shows singularity, an posterior erro...

North Pacific decadal oceanic and atmospheric variability is examined from a 650-yr control integration of the Community Climate System Model version 2. The dominant pattern of winter sea surface temperature (SST) variability is similar to the observed “Pacific decadal oscillation,” with maximum amplitude along the Kuroshio Extension. SST anomalies in this region exhibit significant spectral pe...