A coupling of mixed and discontinuous Galerkin finite-element methods for poroelasticity

By P. Phillips, Mary F. Wheeler. 2008

210 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/a9e33b6b8bc4f6a8df32a783bb334b0dac6d95d1

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In Computational Mechanics

In Computational Theory and Mathematics

In Mechanics of Materials

Citations in the corpus

Overcoming the problem of locking in linear elasticity and poroelasticity: an heuristic approach (2009, methodology): “Here, we use the variety of discontinuous Galerkin methods (DG/mixed) developed in [ 14 ] to combat the locking problem.”
A coupling of nonconforming and mixed finite element methods for Biot's consolidation model (2013, methodology): “The following lemma will be useful to prove the error estimate [20].”
Convergence of iterative coupling of geomechanics with flow in a fractured poroelastic medium (2016, background): “Acknowledgments This work by M. F. Wheeler was supported in part by the CFSES, an Energy Frontier Research Center funded by the U.S. Department of Energy, Office of Science, Basic Energy Sciences under Award #DE-SC0001114.”
On the causes of pressure oscillations in low‐permeable and low‐compressible porous media (2012, methodology): “It is well known that spurious fluid pressure oscillations may occur in low‐permeable regions in finite element calculations of the poroelastic equations [10, 13, 14].”
Coupling multipoint flux mixed finite element methodswith continuous Galerkin methods for poroelasticity (2013, methodology): “Keywords Poroelasticity · Geomechanics · Multipoint flux mixed finite element · Continuous Galerkin · Finite volume method”
Convergence analysis of a new mixed finite element method for Biot's consolidation model (2014, methodology): “Phillips and Wheeler [4] made a similar observation for Terzaghi’s problem, which has a pressure profile similar to that for Mandel’s problem.”