Mixed Finite Element Methods and Applications

By D. Boffi, Franco Brezzi, Michel Fortin. 2013

1,933 citations recorded by the source corpus.

Subfields: Computational Mechanics, Electrical and Electronic Engineering, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/7250bf0cb840af2ad5bed0347581d3040026d456

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Miguel Cervera
2. Michele Chiumenti
3. G. Barbat
4. Carlos Agelet de Saracibar

In Electrical and Electronic Engineering

1. Miguel Cervera
2. Michele Chiumenti
3. G. Barbat

In Numerical Analysis

1. Miguel Cervera
2. Michele Chiumenti

Citations in the corpus

• Stability and monotonicity for some discretizations of the Biot’s consolidation model (2015, neutral): “For detailed discussion on perturbations of such saddle point problems, we refer the reader to the recent monograph by Boffi, Brezzi and Fortin [33].”
• MFEM: a modular finite element methods library (2019, methodology): “ions. The FormLinearSystem method also supports two more advanced and closely related techniques for reducing the size of a nite element linear system: hybridization and static condensation, see e.g. [84, 17]. Note that hybridization in MFEM is applied to a single bilinear form, see [39], instead of”
• Finite element modeling of quasi-brittle cracks in 2D and 3D with enhanced strain accuracy (2017, background): “uniqueness) and stability of the solution in the algebraic system of equations (27), the interpolation functions in (17)-(18) must satisfy the Inf-Sup condition [60-62].”
• Single-variable formulations and isogeometric discretizations for shear deformable beams (2015, neutral): “Another approach is mixed methods [11,12] where a third variable, usually the shear force, is considered as an additional unknown, enlarging the system of equations to be solved.”