8 citations · 20 across the 6 of their papers we have counts for
6 papers
A Stable Mixed FE Method for Nearly Incompressible Linear Elastostatics
Eirik Valseth, Albert Romkes, Austin R. Kaul +1
We present a new, stable, mixed finite element (FE) method for linear elastostatics of nearly incompressible solids. The method is the automatic variationally stable FE (AVS-FE) me…
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…
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…
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…
Residual minimization for isogeometric analysis in reduced and mixed forms
Victor M. Calo, Quanling Deng, Sergio Rojas +1
Most variational forms of isogeometric analysis use highly-continuous basis functions for both trial and test spaces. For a partial differential equation with a smooth solution, is…
Automatic Variationally Stable Analysis for FE Computations: An Introduction
Victor M. Calo, Albert Romkes, Eirik Valseth
We introduce an automatic variationally stable analysis (AVS) for finite element (FE) computations of scalar-valued convection-diffusion equations with non-constant and highly osci…