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math.NA2021
Robust a posteriori error analysis for rotation-based formulations of the elasticity/poroelasticity coupling
VerÓnica Anaya, Arbaz Khan, David Mora +1
We develop the \textit{a posteriori} error analysis of three mixed finite element formulations for rotation-based equations in elasticity, poroelasticity, and interfacial elasticit…
math.NA2021
Divergence-conforming methods for transient doubly-diffusive flows: A priori and a posteriori error analysis
Raimund Bürger, Arbaz Khan, Paul E. Méndez +1
The analysis of the double-diffusion model and -conforming method introduced in [Bürger, Méndez, Ruiz-Baier, SINUM (2019), 57:1318--1343] is extended to t…
math.NA2021
Conforming, nonconforming and DG methods for the stationary generalized Burgers- Huxley equation
Arbaz Khan, Manil T Mohan, Ricardo Ruiz-Baier
In this work we address the analysis of the stationary generalized Burgers-Huxley equation (a nonlinear elliptic problem with anomalous advection) and propose conforming, nonconfor…