126 citations · 139 across the 4 of their papers we have counts for
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Extending h adaptivity with refinement patterns
Giovane Avancini, Nathan Shauer, Francisco T. Orlandini +2
This contribution introduces the idea of refinement patterns for the generation of optimal meshes in the context of the Finite Element Method. The main idea is to generate a librar…
Error estimates for the Scaled Boundary Finite Element Method
Karolinne O. Coelho, Philippe R. B. Devloo, Sonia M. Gomes
The Scaled Boundary Finite Element Method (SBFEM) is a technique in which approximation spaces are constructed using a semi-analytical approach. They are based on partitions of the…
Verification benchmarks for single-phase flow in three-dimensional fractured porous media
Inga Berre, Wietse M. Boon, Bernd Flemisch +23
Flow in fractured porous media occurs in the earth's subsurface, in biological tissues, and in man-made materials. Fractures have a dominating influence on flow processes, and the…
A remark concerning divergence accuracy order for H(div)-conforming finite element flux approximations
Philippe R. B. Devloo, Agnaldo M. Farias, Sônia M. Gomes
The construction of finite element approximations in $\mathbf{H}(\mbox{div}, Ω)$ usually requires the Piola transformation to map vector polynomials from a master element to vector…