8 citations · 20 across the 6 of their papers we have counts for
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math.NA2020★ 1 cited
Automatic Variationally Stable Analysis for Finite Element Computations: Transient Convection-Diffusion Problems
Eirik Valseth, Pouria Behnoudfar, Clint Dawson +1
We establish stable finite element (FE) approximations of convection-diffusion initial boundary value problems using the automatic variationally stable finite element (AVS-FE) meth…
math.NA2020★ 7 cited
A Stable FE Method For the Space-Time Solution of the Cahn-Hilliard Equation
Eirik Valseth, Albert Romkes, Austin R. Kaul
In its application to the modeling of a mineral separation process, we propose the numerical analysis of the Cahn-Hilliard equation by employing spacetime discretizations of the au…
math.NA2020★ 8 cited
Goal-Oriented Error Estimation for the Automatic Variationally Stable FE Method for Convection-Dominated Diffusion Problems
Eirik Valseth, Albert Romkes
We present goal-oriented a posteriori error estimates for the automatic variationally stable finite element (AVS FE) method for scalar-valued convection-diffusion problems. The AVS…