TY  - EJOU
AU  - Codecasa, Lorenzo  
AU  - Trevisan, Francesco  

TI  - Error Bounds forDiscrete Geometric Approach
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2010
VL  - 59
IS  - 2
SN  - 1526-1506

AB  - Electromagnetic problems spatially discretized by the so called Discrete Geometric Approach are considered, where Discrete Counterparts of Constitutive Relations are discretized within an Energetic Approach. Pairs of oriented dual grids are considered in which the primal grid is composed of (oblique) parallelepipeds, (oblique) triangular prisms and tetrahedra and the dual grid is obtained according to the barycentric subdivision. The focus of the work is the evaluation of the constants bounding the approximation error of the electromagnetic field; the novelty is that such constants will be expressed in terms of the geometrical details of oriented dual grids. A numerical analysis will confirm the theory.
KW  - Cell Method
KW  -  Finite Integration Technique
KW  -  Discrete Counterparts of Constitutive Equations
KW  -  Convergence Analysis
KW  -  Error Bounds

DO  - 10.3970/cmes.2010.059.155