4 papers
Off-site enforcement of natural conditions on smooth boundaries for finite elements upon fitted straight-edged triangular meshes
Vitoriano Ruas
A few decades ago some possible remedies to an inaccurate enforcement of Neumann or Robin conditions prescribed on the boundary of a smooth domain, owing to the approximation of a…
A variant of the Raviart-Thomas method for smooth domains with straight-edged triangles
Fleurianne Bertrand, Vitoriano Ruas
Several physical problems modeled by second-order elliptic equations can be efficiently solved using mixed finite elements of the Raviart-Thomas family RTk for N-simplexes, introdu…
Fine error bounds for approximate asymmetric saddle point problems
Vitoriano Ruas
The theory of mixed finite element methods for solving different types of elliptic partial differential equations in saddle point formulation is well established since many decades…
A variant of the Raviart-Thomas method to handle smooth domains using straight-edged triangles. Part II -- Approximation results
Fleurianne Bertrand, Vitoriano Ruas
In arXiv:2307.03503 [math.NA] we commenced to study a variant of the Raviart-Thomas mixed finite element method for triangles, to solve second order elliptic equations in a curved…