scholarly journals Hp-finite-elements for simulating electromagnetic fields in optical devices with rough textures

2015 ◽  
Author(s):  
Sven Burger ◽  
Philipp Gutsche ◽  
Martin Hammerschmidt ◽  
Sven Herrmann ◽  
Jan Pomplun ◽  
...  
Keyword(s):  
Finite Elements ◽  
Electromagnetic Fields ◽  
Optical Devices ◽  
Hp Finite Elements

scholarly journals hp-FEM for the fractional heat equation

2020 ◽  
Author(s):  
Jens Markus Melenk ◽  
Alexander Rieder
Keyword(s):  
Finite Elements ◽  
Heat Equation ◽  
Exponential Convergence ◽  
Time Dependent ◽  
Nonlocal Operator ◽  
Time Stepping ◽  
Fractional Heat Equation ◽  
Time Dependent Problem ◽  
Hp Finite Elements ◽  
Abstract Framework

Abstract We consider a time-dependent problem generated by a nonlocal operator in space. Applying for the spatial discretization a scheme based on $hp$-finite elements and a Caffarelli–Silvestre extension we obtain a semidiscrete semigroup. The discretization in time is carried out by using $hp$-discontinuous Galerkin based time stepping. We prove exponential convergence for such a method in an abstract framework for the discretization in the spatial domain $\varOmega $.

Computation of 3D electromagnetic fields by finite elements

1992 ◽  
Vol 2 (11) ◽  
pp. 1971-1977
Author(s):  
O. Biro ◽  
I. Bardi ◽  
K. Preis ◽  
K. R. Richter
Keyword(s):  
Finite Elements ◽  
Electromagnetic Fields
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