3 papers
math.NA2019
Optimal-rate Lagrange and Hermite finite elements for Dirichlet problems in curved domains with straight-edged triangles
Vitoriano Ruas
One of the reasons for the success of the finite element method is its versatility to deal with different types of geometries. This is particularly true of problems posed in curved…
math.NA2018
An explicit P1 finite element scheme for Maxwell's equations with constant permittivity in a boundary neighborhood
Larisa Beilina, Vitoriano Ruas
This paper is devoted to the complete convergence study of the finite-element approximation of Maxwell's equations in the case where the magnetic permeability is constant. Standard…
cs.CG2017
One-parameter tetrahedral mesh generation for spheroids
Vitoriano Ruas
This paper deals with a simple and straightforward procedure for automatic generation of finite-element or finite-volume meshes of spheroidal domains, consisting of tetrahedra. Bes…