25 citations · 34 across the 7 of their papers we have counts for
8 papers
Anisotropic nonlocal diffusion equations with singular forcing
Arturo de Pablo, Fernando Quirós, Ana Rodríguez
We prove existence, uniqueness and regularity of solutions of nonlocal heat equations associated to anisotropic stable diffusion operators. The main features are that the right-han…
Coupling DG-FEM and BEM for time harmonic eddy current problem
Ana Alonso Rodríguez, Salim Meddahi, Alberto Valli
We introduce and analyze a discontinuous Galerkin FEM/BEM method for a time-harmonic eddy current problem written in terms of the magnetic field. We use nonconforming Nédélec finit…
Geometric construction of bases of
Ana Alonso Rodríguez, Enrico Bertolazzi, Riccardo Ghiloni +1
We present an efficient algorithm for the construction of a basis of via the Poincaré--Lefschetz duality theorem. Denoting by the first Be…
Simple finite element schemes for the solution of the curl-div system
Ana Alonso Rodríguez, Enrico Bertolazzi, Alberto Valli
New variational formulations are devised for the curl--div system, and the corresponding finite element approximations are shown to converge. Curl--free and divergence--free finite…
Nonlocal filtration equations with rough kernels
Arturo de Pablo, Fernando Quirós, Ana Rodríguez
We study the nonlinear and nonlocal Cauchy problem \[ \partial_{t}u+\mathcal{L}φ(u)=0 \quad\text{in }\mathbb{R}^{N}\times\mathbb{R}_+,\qquad u(\cdot,0)=u_0, \] where …
Classical solutions and higher regularity for nonlinear fractional diffusion equations
Juan Luis Vázquez, Arturo de Pablo, Fernando Quirós +1
We study the regularity properties of the solutions to the nonlinear equation with fractional diffusion posed for , , wi…